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基于观测器的自适应模糊容错最优控制在 SISO 非线性系统中的应用

Observer-Based Adaptive Fuzzy Fault-Tolerant Optimal Control for SISO Nonlinear Systems.

出版信息

IEEE Trans Cybern. 2019 Feb;49(2):649-661. doi: 10.1109/TCYB.2017.2785801. Epub 2018 Jan 4.

DOI:10.1109/TCYB.2017.2785801
PMID:29993971
Abstract

This paper investigates adaptive fuzzy output feedback fault-tolerant optimal control problem for a class of single-input and single-output nonlinear systems in strict feedback form. The considered nonlinear systems contain unknown nonaffine nonlinear faults and unmeasured states. Fuzzy logic systems are used to approximate cost function and unknown nonlinear functions, respectively. It is assumed that the states of the systems to be controlled are unmeasurable, thus an adaptive state observer is developed. To solve the nonaffine nonlinear fault control design problem, filtered signals are introduced into the adaptive backstepping control design procedures, and in the framework of adaptive critic technique and fault-tolerant control technique, a novel adaptive fuzzy fault-tolerant optimal control scheme is developed. The stability of the closed-loop system is proved by using Lyapunov stability theory. The simulation results verify the effectiveness of the proposed control strategy.

摘要

本文研究了一类严格反馈形式的单输入单输出非线性系统的自适应模糊输出反馈容错最优控制问题。所考虑的非线性系统包含未知的非仿射非线性故障和不可测量的状态。模糊逻辑系统分别用于逼近代价函数和未知的非线性函数。假设待控制的系统状态是不可测量的,因此开发了一个自适应状态观测器。为了解决非仿射非线性故障控制设计问题,将滤波信号引入自适应反推控制设计过程中,并在自适应评价技术和容错控制技术的框架下,提出了一种新的自适应模糊容错最优控制方案。利用 Lyapunov 稳定性理论证明了闭环系统的稳定性。仿真结果验证了所提出控制策略的有效性。

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