Fuzzy Observer-Based Repetitive Tracking Control for Nonlinear Systems

doi:10.1109/TFUZZ.2019.2936808

2020-10-01

120

PRE

王

王迎春 (Yingchun Wang) *

Longfei Zheng

Huaguang Zhang

Wei Xing Zheng (Wei Xing Zheng)

DOI：10.1109/TFUZZ.2019.2936808

原文链接

原文求助

摘要

En 中文

This article is concerned with the periodic tracking control problem for nonlinear systems. First, the Takagi-Sugeno (T-S) fuzzy model is employed to describe the nonlinear control systems. Second, considering the partly unmeasurable states of the system, a novel fuzzy observer-based repetitive controller, which is the mixed controller of the fuzzy observer-based controller and the fuzzy repetitive controller, is designed to deal with the periodic tracking control problem. To reduce the conservatism and increase the feasible solution space of the stabilization conditions, a new fuzzy relaxed matrix technique is developed by introducing some relaxed matrices in the derivative of the fuzzy normalized membership function. Then, the fuzzy Lyapunov functional with an additional separation parameter and the augmented fuzzy matrix technique (the interactions of fuzzy observer subsystems) are proposed such that the delay-dependent stability condition of the closed-loop system in the form of linear matrix inequality is obtained with less conservatism. It is worth noting that due to introducing an additional parameter in the fuzzy Lyapunov functional, the fuzzy controller and fuzzy observer can be separately designed, which largely enhances the flexibility of design with low computational complexity. Finally, three examples are provided to illustrate the effectiveness and less conservatism of the proposed method.

Keyword:

Nonlinear systems

Control systems

Observers

Symmetric matrices

Linear matrix inequalities

Stability analysis

Linear systems

Fuzzy observer-based control

fuzzy repetitive control

fuzzy Lyapunov functional

linear matrix inequality (LMI)