Adaptive Fuzzy Optimal Control for Switched Nonlinear Systems With Output Hysteresis

This paper investigates a class of switched nonlinear systems with output hysteresis, where the switching signal is arbitrary. The considered output hysteresis nonlinearity is captured by the Bouc-Wen model, which causes an uncertain gain that imposes a significant challenge on our control design. T...

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Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 31; no. 6; pp. 1 - 14
Main Authors Zheng, Licheng, Liu, Zhi, Chen, C. L. Philip, Zhang, Yun, Wu, Zongze, Xie, Shengli
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Actor-critic architecture
Adaptation models
Adaptive control
adaptive fuzzy control
Backstepping
Control systems design
Fuzzy control
Fuzzy logic
Hysteresis
Iterative methods
Mathematical models
Nonlinear control
Nonlinear systems
Nonlinearity
Optimal control
output hysteresis
switched nonlinear systems
Switches
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Summary:This paper investigates a class of switched nonlinear systems with output hysteresis, where the switching signal is arbitrary. The considered output hysteresis nonlinearity is captured by the Bouc-Wen model, which causes an uncertain gain that imposes a significant challenge on our control design. To overcome this problem, we propose an adaptive fuzzy optimal control scheme. In our scheme, the Nussbaum gain technique is used to compensate for output hysteresis, and, at each iteration, the actor-critic structure is progressively feedback and adjusted to design the optimal controller. Finally, our proposed design scheme can guarantee the stability of the nonlinear switched systems, which is demonstrated in the simulation results.
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content type line 14
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2022.3215483