20 April 2026, Volume 33 Issue 4
    

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  • LIU Zhilin, LING Xiang, SU Li, ZHU Qidan, ZENG Bowen, YUAN Xin
    Control Engineering of China. 2026, 33(4): 577-584.
    Abstract ( )   Knowledge map   Save
    In order to achieve remote control of the manipulator, an immersive virtual reality simulation system for the manipulator is constructed based on virtual reality technology. Firstly, forward and inverse kinematics analyses are conducted on the robotic arm to obtain the mapping between the position of the end effector of the manipulator and the angles of each joint. Then, the virtual scene is constructed, HTC VIVE is used to control the virtual manipulator in the virtual scene, and the joint angles of the virtual manipulator are encapsulated as control commands and transmitted to the manipulator control module in the robot operating system (ROS), thereby controlling the real manipulator to follow the movement of the virtual manipulator. The test results show that the constructed immersive virtual reality simulation system for the manipulator meets the requirements of remote control, the joint angle error and action delay time between the real manipulator and the virtual manipulator are both within the allowable range.
  • QU Guanghui, WEI Guoliang, CAI Jie
    Control Engineering of China. 2026, 33(4): 585-593.
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    The visual-inertial simultaneous localization and mapping (SLAM) system is susceptible to cumulative errors. To solve this problem, a tightly-coupled SLAM system based on vision, inertial measurement unit and real-time kinematic (RTK), namely the robust visual-inertial navigation system (RVINS), is proposed. The absolute positioning of RTK is used to eliminate the accumulated errors. Based on the framework of the global navigation satellite system (GNSS)-visual-inertial navigation system (GVINS), the external transformation between the local coordinate system of visual inertial navigation and the global coordinate system of RTK is calculated by Doppler frequency shift based on visual inertial navigation, thereby completing the initialization of the system. After initialization, a joint optimization function integrating vision, inertial measurement unit and RTK is constructed by tight coupling for back-end optimization, thereby obtaining the optimal pose estimation. RVINS is tested by using GVINS datasets in the experiment. The experimental results show that the positioning accuracy of RVINS can reach the centimeter level when RTK is effective, RVINS degenerates into a visual-inertial SLAM system and exhibits high robustness when RTK fails.
  • JU Minhua, ZHANG Zhi
    Control Engineering of China. 2026, 33(4): 594-602.
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    The conventional sensor control technology suffers from long response time and poor stability. To solve this problem, a double closed-loop control strategy combining proportional integral differential (PID) control and adaptive continuous terminal sliding mode control is proposed. The inner loop adopts fuzzy PID control optimized by the sparrow search algorithm, achieving rapid regulation of the rotor position and speed. For the outer loop, the Luenberger disturbance observer and adaptive reaching law are used to improve the continuous terminal sliding mode control, and an adaptive continuous terminal sliding mode control is proposed. The experimental results show that the adaptive continuous terminal sliding mode control can improve the control accuracy, response speed and robustness of the direct-current motor control system, and suppress chattering.
  • LUO Fangyou, FENG Jian
    Control Engineering of China. 2026, 33(4): 603-611.
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    In the workshop, mobile robots need to plan their paths in different ways based on their positions and the number of transportation tasks. To solve this problem, the mobile robot is regarded as a particle and its working area is regarded as a virtual potential field to determine the path and speed of the mobile robot, enabling the mobile robot to avoid obstacles and reach the target point. Firstly, the artificial potential field method is improved. Then, by combining the improved artificial potential field method with the ant colony optimization algorithm and considering the characteristics of the machining workshop, a path planning algorithm for mobile robots is proposed. The simulation results show that the proposed algorithm can plan feasible paths in tasks of various scales, and its performance is superior to that of the conventional artificial potential field method and other comparison algorithms.
    Key words:Ant colony optimization algorithm; artificial potential
  • WANG Wei, WANG Wenjing, WANG Na
    Control Engineering of China. 2026, 33(4): 612-617.
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    The existing ensemble model for Mach number prediction in the wind tunnel fails to fully exploit the potential of the base learners due to simple weighted fusion. To solve this problem, a fusion method based on meta learning is proposed. Firstly, the prediction outputs of the base learners are utilized to construct the feature space of the meta-data. Then, a meta-learner is constructed by the optimal meta-algorithm to conduct secondary learning on the meta-data, aiming to establish a complex nonlinear mapping relationship between the prediction outputs of the base learners and the actual results, thereby achieving adaptive integration and bias correction of the strengths of different base learners. 9 datasets collected from a real wind tunnel under 3 different working conditions are used to validate the proposed method in the experiment. The experimental results show that, compared with the simple weighted fusion method, the proposed method can improve the prediction accuracy of the ensemble model for Mach number prediction in the wind tunnel.
  • QIAN Shuyang, LI Hongyi, SHI Ruiwen, ZHU Qinyue
    Control Engineering of China. 2026, 33(4): 618-626.
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    To enhance the utilization of regenerative braking energy and reduce the total energy consumption of train operation, an energy-saving optimization method for the timetable considering the energy consumption of traction power supply is proposed. Firstly, a power calculation model based on the traction power supply system is established to obtain the power profiles for the full-line operation of inbound and outbound trains. Then, a regenerative braking energy calculation model is developed by analyzing the effective overlapping time of different sequence matching relationships between trains. Finally, the objective function and constraint conditions of the energy-saving optimization model for the timetable are constructed. The departure time and stop time are taken as the optimization variables, and the optimization objective is to maximize the utilization of regenerative braking energy in the timetable for energy-saving optimization. The proposed method is verified by simulation based on a real metro line. The simulation results show that the total energy consumption of the optimized timetable is reduced by 6.65%, and the utilization of regenerative braking energy increases from 10.45% to 25.90%.
  • LU Libo, YANG Yang, YANG Ming, ZHANG Yadong, XUE Yipu
    Control Engineering of China. 2026, 33(4): 627-637.
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    The existing logic function simulation methods for relay control circuits are only effective for small-scale relay circuits and difficult to be applied to large-scale relay control circuits. Therefore, a large-scale relay control circuit logic function simulation method based on the circuit agent and cellular automaton (CA) is proposed. Firstly, the logical components of the relay circuit are analyzed, the concept of short path is proposed to represent the local circuit, and the multi-branch tree structure for high-order short paths is defined. Then, an Agent-CA hybrid simulation model is constructed, and the control strategy for the local circuit state evolution within the circuit agent and the overall evolution rules of CA are designed. Taking the railway relay centralized interlocking system as an example, the Agent-CA hybrid simulation model is tested by the logic function simulation analysis software of relay control circuits. The experimental results show that the proposed model can effectively simulate the dynamic process of the logic function of the large-scale relay control circuit.
  • LU Zihao, WANG Na, LIN Chong, ZHAO Keyou, DONG Shigui
    Control Engineering of China. 2026, 33(4): 638-646.
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    For nonlinear discrete systems with dual-unknown-input, the performance of conventional nonlinear filters cannot meet the application requirements. Therefore, an improved square-root cubature Kalman filter (SRCKF) is proposed. Firstly, the innovation is calculated to obtain estimates of the unknown inputs in the measurement equation and the state equation respectively. Secondly, based on the minimum variance unbiased estimation (MVUE) criterion, the Lagrange multiplier method is used to obtain the gain matrices in the filter. Finally, by minimizing the trace of the covariance matrix and using the Schur complement lemma, the minimum variance unbiased estimation of the system state and dual-unknown-input is obtained. The simulation results demonstrate that compared with the conventional cubature Kalman filter and the square-root cubature Kalman filter, the improved SRCKF has higher state estimation accuracy and stability when the unknown input signals in the state equation and the measurement equation are different, and can simultaneously achieve the minimum variance unbiased estimation of the system state and the dual-unknown-input.
  • LI Zhuang, HUANG Yiqing
    Control Engineering of China. 2026, 33(4): 647-656.
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    To solve the obstacle avoidance problem of quadrotor unmanned aerial vehicle (UAV) formations in complex environments, a new distributed formation obstacle avoidance method is proposed. Firstly, an obstacle detection method is designed based on the minimum distance between the quadrotor UAV and the obstacle to detect the irregular obstacle. Then, by combining the consistency algorithm with the repulsion function, a new obstacle avoidance controller for quadrotor UAV formations is designed. Finally, after obtaining the desired trajectory of the quadrotor UAV formation, the adaptive integral backstepping method is utilized to achieve the tracking control of the quadrotor UAV formation for the desired trajectory. The simulation results show that, under the control of the proposed method, multiple quadrotor UAVs can take off from different starting points, quickly form the desired formation, and achieve more reasonable collision avoidance against irregular obstacles in complex environments.
  • LIANG Xue, LIU Qihuitianbo, LIANG Haoqi, YANG Bo
    Control Engineering of China. 2026, 33(4): 657-664.
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    With the high-penetration integration of intermittent renewable electricity such as wind power and photovoltaic power, the pressure on power grid balance has increased significantly. For the volatility and uncertainty of renewable electricity, the electro-fused magnesia load is selected as the research object, and the electro-fused magnesia load model is established under stringent process constraints. A renewable electricity incentive mechanism is proposed to enhance the responsiveness of electro-fused magnesia loads to the volatility of renewable electricity, and the regulation and balancing performance of the electro-fused magnesia load model is verified under the condition of order insertion. To address the conflict between energy allocation and economic efficiency across multiple parks, a cooperative regulation model based on the multi-agent deep deterministic policy gradient (MADDPG) algorithm is proposed, and the advantages of the MADDGP algorithm in convergence and economic efficiency are verified. The simulation results show that the proposed electro-fused magnesia load model can improve the renewable electricity absorption capacity of the electro- fused magnesia production while ensuring stringent process constraints, the proposed cooperative regulation model can effectively balance the energy allocation across multiple parks and reduce production cost.
  • ZHANG Hailang, JIN Xin
    Control Engineering of China. 2026, 33(4): 665-671.
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    Explicit and implicit averaging algorithms are commonly used to quantify robustness in evolutionary robust optimization. To achieve high-precision fitness evaluation with less computing resources, the explicit-implicit averaging combination algorithm is proposed. This algorithm determines whether the historical information within the current individual’s neighborhood meets the accuracy requirements of fitness evaluation by pre-set constraints, and thereby decides to use the explicit averaging algorithm or the implicit averaging algorithm for fitness evaluation. Compared with the explicit averaging algorithm, the explicit-implicit averaging combination algorithm can utilize historical information and reduce unnecessary evaluations. Compared with the implicit averaging algorithm, the explicit-implicit averaging combination algorithm ensures that it does not get stuck and guarantees the accuracy of the fitness evaluation results, avoiding the optimization process from getting stuck in local optimum. The experimental results verify the effectiveness and superiority of the explicit-implicit averaging combination algorithm.
  • WANG Jingjie, TAO Yifei, CUI Hai, FU Xiao, WU Jiaxing, LI Yirong
    Control Engineering of China. 2026, 33(4): 672-686.
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    To solve the multi-objective different distributed hybrid flow-shop scheduling problem with the objective of minimizing the makespan, the number of delayed jobs and the non-process waiting time, a multi-objective social engineering particle swarm optimization algorithm is proposed. Firstly, for the different shops with limited buffers, considering the combination of heuristic rules in the case of a tie during decoding, a particle swarm initialization method combined with the job allocation scheme of the first process is designed. Secondly, a particle position update method based on the reference solution is established. Thirdly, the core operations of the social engineering optimizer are improved and integrated with the particle swarm optimization algorithm to enhance the convergence speed and distribution of the particle swarm. Finally, six neighborhood structures are constructed and the frequency of neighborhood search is dynamically adjusted to improve the optimization performance of the algorithm at the later stages. The experiments verify the effectiveness and superiority of the proposed algorithm based on scheduling examples of different scales.
  • ZHANG Lixiang, SONG Xinyu, LI Mingjie, ZHOU Ping
    Control Engineering of China. 2026, 33(4): 687-694.
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    The predictive optimal control method of the powder particle size distribution shape in the experimental disc grinding process and the verification based on the physical experiment are studied. Firstly, the probability density function (PDF) of the powder particle size distribution is approximated by the radial basis function neural network (RBFNN), and the weight vector corresponding to the PDF is calculated by inverse integral. Secondly, the center value and width of the radial basis function are adjusted based on the iterative learning update mechanism, the dynamic model of the weight vector is established by subspace identification, and the output PDF model of the powder particle size distribution shape in the experimental disc grinding process is obtained. Finally, based on the established output PDF model, a predictive optimal controller is designed to enable the actual PDF shape of the powder particle size distribution can track the desired PDF shape. The effectiveness and feasibility of the proposed method are verified by the data simulation and physical experiment.
  • YIN Zhuoxu, WANG Yagang
    Control Engineering of China. 2026, 33(4): 695-705.
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    For the identification of low-order delay models in cascade control systems, an improved Kalman filtering identification method which combines Kalman filtering with cross-correlation function is proposed. Firstly, the identification results of the dynamic parameters are obtained by using the conventional Kalman filter identification method. Then, the input and output data are filtered, and the delay parameters are identified by using the cross-correlation function. The proposed method is compared with the least squares method by simulation, and verified under different noise interference, different sample quantities, and different cascade control systems. The simulation results show that the proposed method enables effective online identification of parameters in low-order delay models, with high identification accuracy and strong robustness, and has certain universality in industrial applications.
  • YU Hang, XU Yaosong
    Control Engineering of China. 2026, 33(4): 706-717.
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    In order to achieve accurate prediction of gas emission in coal mines, the pelican optimization algorithm and the gated recurrent unit (GRU) are improved, and a gas emission prediction model is proposed. Firstly, the original data is decomposed into intrinsic mode function (IMF) components of different frequencies by the variational mode decomposition (VMD) algorithm to reduce the prediction difficulty of nonlinear data. Then, the pelican optimization algorithm is improved by introducing the optimal point set initialization method, the reverse differential evolution mechanism and the adaptive mutation of the optimal individual position are introduced to improve the pelican algorithm and enhance the optimization ability of the algorithm. Finally, the attention mechanism (AM) is introduced into the GRU to quantify the correlation between various influencing factors and the prediction of gas emission, the improved pelican optimization algorithm is used to optimize the hyperparameters of the VMD-AM-GRU model, and a prediction model is established for each IMF component. Data from a coal mine in Shanxi Province are selected for experimental validation. The experimental results verify the effectiveness of the improved strategies. Compared with other similar models, the proposed model has higher prediction accuracy.
  • XING Shunxiang, CHEN Xin, WANG Weizhen, XUE Pengxiang
    Control Engineering of China. 2026, 33(4): 718-728.
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    The mobile sensor network composed of multi-unmanned aerial vehicle (UAV) is taken as the research object. In order to efficiently complete the tasks of area search coverage and target tracking, a dual-mode flocking control algorithm is proposed. This algorithm includes two control modes, namely the anti-flocking search mode and the flocking tracking mode. The anti-flocking search mode is combined with the improved ant colony optimization algorithm to enhance the coverage efficiency of the multi-UAV sensor network in the task area. The flocking tracking mode is combined with the sliding mode control to ensure the stability of target tracking. The simulation results show that the proposed algorithm can enhance the area coverage performance of the multi-UAV sensor network, enable it to track targets within the area and prevent collisions among the UAVs.
  • WANG Peng, ZHOU Hualiang, ZHAO Chunhui, SU Zhantao, WANG Jing
    Control Engineering of China. 2026, 33(4): 729-737.
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    To enhance the safety and operational intelligence of substations, automatic anomaly detection methods based on robotic inspection videos are widely adopted. However, achieving high-precision detection remains challenging due to the diversity of anomaly types, the complexity of anomaly features, and the scarcity of anomaly samples in substation equipment scenarios. To address this issue, a few-sample anomaly detection method for the substation equipment based on spatio-temporal feature fusion is proposed. Firstly, the LiteFlowNet is used to extract motion features from the template image and the comparison image, generating bidirectional optical flow maps with strong anomaly representation capability. Then, a dual-stream siamese network (DS-SiameseNet) is designed to integrate dual-modal features from the template image, the comparison image, and the bidirectional optical flow maps, and a dual-attention network is further introduced to refine multi-scale fusion features for accurate anomaly localization. The inspection dataset of a substation equipment is used to test the proposed method in the experiment. The experimental results show that, compared with the existing methods using image pair stitching with non-siamese networks, the proposed method effectively improves the anomaly detection accuracy of the substation equipment in scenarios with few samples.
    Key words: Substation patrol inspection; optical flow estimation; dual-stream siamese network
  • LIU Yefeng, HE Zengpeng
    Control Engineering of China. 2026, 33(4): 738-744.
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    Tool wear is inherently uncontrollable, and accurate tool wear monitoring is critical to ensuring machine tool efficiency and product quality. Therefore, a tool wear monitoring model based on residual convolutional neural network (ResCNN) and bidirectional long short-term memory (BiLSTM) neural network is proposed. Firstly, based on the Pearson correlation coefficient and Spearman correlation coefficient, the correlation between the multi-dimensional sensor signals and the tool wear value is analyzed to minimize the dimensionality of sampled signals. Then, ResCNN is used to directly extract the spatial features of the data, while BiLSTM neural network is employed to model the temporal features of historical tool wear data, thereby obtaining tool wear monitoring results. The experimental results show that the proposed model has a higher accuracy in tool wear monitoring compared to the linear regression model, convolutional neural network model, ResCNN model and other deep learning models.
  • YUAN Hao, HUANG Wentao, JIANG Qingchao, FAN Qinqin
    Control Engineering of China. 2026, 33(4): 744-756.
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    Finding a good approximate Pareto front and obtaining a sufficient number of equivalent Pareto-optimal solutions are two crucial objectives for multi-modal multi-objective optimization problems. To carry out the above objectives, a multi-modal multi-objective particle swarm optimization algorithm based on zoning search and multi-subpopulation is proposed. Firstly, in order to reduce the difficulty of searching, the entire decision space is divided into multiple subspaces by using a zoning search strategy. Then, the population is clustered and divided into different sub-populations. Finally, in each subspace, the improved multi-modal multi-objective particle swarm optimization algorithm is employed to independently search each subspace to find multiple equivalent Pareto-optimal solutions. In the experiment, the proposed algorithm is verified by 22 multi-modal multi-objective test functions, and compared with seven advanced multi-modal multi-objective evolutionary algorithms. The experimental results show that, compared with the seven algorithms, the proposed algorithm can find more equivalent Pareto-optimal solutions in the decision space, and the approximate Pareto front found in the objective space has better approximation and diversity.
  • YAN Xin, ZHUO Zhiyuan, TU Naiwei
    Control Engineering of China. 2026, 33(4): 757-763.
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    In order to achieve rapid and accurate prediction of coal and gas outbursts, the PCA-LDA-CatBoost model is constructed based on principal component analysis (PCA), linear discriminant analysis (LDA), and categorical boosting (CatBoost) algorithm. Firstly, by combining PCA with LDA, the PCA-LDA fusion method is proposed to perform dimensionality reduction processing on the data, avoiding the loss of effective information in the data. Then, the dimensionality-reduced data is fed into the CatBoost model to train the model structure and key parameters. The experimental results show that the PCA-LDA fusion method can effectively reduce the dimension of the data and minimize the influence of noise and low-frequency category data on the data distribution. Compared with the support vector machine model, BP neural network model and naive Bayes model, the PCA-LDA-CatBoost model exhibits adaptability to be trained with small-scale samples and achieve high prediction accuracy, improves the prediction performance