Observer-based fixed-time fuzzy tracking control for stochastic nonstrict nonlinear systems with hysteresis nonlinearity

Author:

Ju Hanzheng12,Tao Fazhan12ORCID,Wang Nan12,Fu Zhumu12ORCID,Ma Haoxiang12

Affiliation:

1. College of Information Engineering, Henan University of Science and Technology, China

2. Key Laboratory of Robot and Intelligent System of Henan Province, Henan University of Science and Technology, China

Abstract

In this paper, a new adaptive fuzzy fixed-time control strategy is proposed for stochastic nonstrict nonlinear systems with Bouc–Wen type of hysteresis input and unmeasured state variables. The Bouc–Wen model is recognized as one of the most intractable mechanical hysteresis models. The established state observer is used to assess unmeasurable states, and the fuzzy logic systems are utilized to approximate the uncertain nonlinear functions in the system. Based on the state observer and backstepping method, a fixed-time controller is recursively designed to ensure that all closed-loop signals of the system are bounded and the tracking error converges to a small neighborhood of the origin within a fixed-time. Finally, the effectiveness of the control strategy is verified by two simulation examples.

Funder

the Scientific and Technological Project of Henan Province

the Science and Technology Development Plan of Joint Research Program of Henan

the Key Scientific Research Projects of Universities in Henan Province

the Postdoctoral Research Grant in Henan Province

the Program for Science and Technology Innovation Talents in the University of Henan Province

the National Natural Science Foundation of China

Publisher

SAGE Publications

Subject

Instrumentation

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