A Fuzzy Controller Design for Discrete Nonlinear Singularly Perturbed Systems

LI Li, SUN Cheng-gong

Control Engineering of China ›› 2018, Vol. 25 ›› Issue (9) : 1622-1627.

Control Engineering of China ›› 2018, Vol. 25 ›› Issue (9) : 1622-1627.

A Fuzzy Controller Design for Discrete Nonlinear Singularly Perturbed Systems

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Abstract

For a class of discrete nonlinear singularly perturbed systems, a tracking controller based on fuzzy singularly perturbed model (FSPM) is developed. Firstly, a series of dynamic TS fuzzy singularly perturbed subsystems are built to approximate a discrete nonlinear singularly perturbed system. A discrete reference model with the same fuzzy premise is chosen to design the expected trajectory and dynamic performance. Then a kind of tracking controller is developed and the linear feedback gain of it can be solved by the LMI (linear matrix inequality) approach. Discrete Lyapunov constitute techniques are used to prove the stability of the closed-loop systems. The effectiveness of the approach is illustrated by the simulation experimentation.

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Track control / LMI / TS fuzzy logic system / discrete nonlinear singularly perturbed system

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LI Li, SUN Cheng-gong. A Fuzzy Controller Design for Discrete Nonlinear Singularly Perturbed Systems [J]. Control Engineering of China, 2018, 25(9): 1622-1627

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