Abstract: For the rolling system, it should be a multi-variable, strong disturbance and coupled nonlinear system. As the precondition of ensuring the precision of strip thickness, it is necessary to ensure that the system is robust. The controller should be able to suppress the disturbance of the system and remain the system stable under the uncertain parameters. Taking into account the complexity of the system, this paper establishes a linear state space model of the hydraulic roller system, motor transmission and rolling process system for the deeper study of the relationship between the variables in the rolling process. Considering the complexity of the external disturbance, this paper chooses the  control strategy. MATLAB is used to solve the linear matrix inequalities. By selecting the appropriate performance index, the state feedback controller could be found. The simulation result shows that the state feedback control system has better robustness and performance index.

Key words: State space, automatic gauge control;, linearization

摘要： 板带材生产过程中，轧制系统是一个典型的多变量、强扰动、高耦合的非线性系统。作为保证带钢出口厚度精度的前提，应保证系统是具有鲁棒稳定性的。所设计的控制器应能抑止扰动对系统的影响，以及在有限系统参数摄动的情况下仍能保持稳定。考虑到系统的复杂性，为了更好地研究轧制过程各个变量之间的关系，建立了液压辊系、电机传动、轧制过程的线性化状态空间模型，考虑到外扰的复杂性，选用控制策略，并利用MATLAB进行线性矩阵不等式的求解，通过选取适当的性能指标，找到状态反馈控制器。仿真效果表明，其较之常规控制方法有着良好的鲁棒性与性能指标。

关键词: 状态空间, 自动厚度控制, , 线性化