Adaptive Fuzzy Finite-Time Tracking Control of Stochastic High-Order Nonlinear Systems With a Class of Prescribed Performance

This article investigates the adaptive fuzzy finite-time control problem for a class of high-order stochastic nonlinear systems with a class of exponential type prescribed performance function. It is assumed that the nonlinear functions in the controlled plant are unknown, in which fuzzy logic syste...

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Veröffentlicht in:	IEEE transactions on fuzzy systems Jg. 30; H. 1; S. 88 - 96
Hauptverfasser:	Fu, Zhumu, Wang, Nan, Song, Shuzhong, Wang, Tong
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York IEEE 01.01.2022 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:	Adaptive control Adaptive fuzzy control Adaptive systems Approximation Backstepping Continuity (mathematics) Error signals Fuzzy control Fuzzy logic fuzzy logic systems (FLSs) Fuzzy systems Lyapunov methods Mathematical analysis Nonlinear systems stochastic nonlinear systems Stochastic processes Stochastic systems Tracking control
ISSN:	1063-6706, 1941-0034
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Abstract	This article investigates the adaptive fuzzy finite-time control problem for a class of high-order stochastic nonlinear systems with a class of exponential type prescribed performance function. It is assumed that the nonlinear functions in the controlled plant are unknown, in which fuzzy logic systems (FLSs) are utilized due to the approximation ability of any unknown continuous functions with arbitrary approximation errors. Based on the FLSs and backstepping design technique, a novel adaptive fuzzy tracking control strategy is proposed to guarantee that the closed-loop nonlinear system is semiglobally finite-time stable in probability via Lyapunov stability theory and It<inline-formula><tex-math notation="LaTeX">\hat{o}</tex-math></inline-formula> formula. Compared with existing results, the transformed error signal was regarded as a stochastic variable. In addition, the expressions of the first and second-order partial derivatives of the transformed error signals are given in this article. Finally, a simulation example with different covariance values is given to show the effectiveness of the proposed control strategy.
AbstractList	This article investigates the adaptive fuzzy finite-time control problem for a class of high-order stochastic nonlinear systems with a class of exponential type prescribed performance function. It is assumed that the nonlinear functions in the controlled plant are unknown, in which fuzzy logic systems (FLSs) are utilized due to the approximation ability of any unknown continuous functions with arbitrary approximation errors. Based on the FLSs and backstepping design technique, a novel adaptive fuzzy tracking control strategy is proposed to guarantee that the closed-loop nonlinear system is semiglobally finite-time stable in probability via Lyapunov stability theory and It<inline-formula><tex-math notation="LaTeX">\hat{o}</tex-math></inline-formula> formula. Compared with existing results, the transformed error signal was regarded as a stochastic variable. In addition, the expressions of the first and second-order partial derivatives of the transformed error signals are given in this article. Finally, a simulation example with different covariance values is given to show the effectiveness of the proposed control strategy. This article investigates the adaptive fuzzy finite-time control problem for a class of high-order stochastic nonlinear systems with a class of exponential type prescribed performance function. It is assumed that the nonlinear functions in the controlled plant are unknown, in which fuzzy logic systems (FLSs) are utilized due to the approximation ability of any unknown continuous functions with arbitrary approximation errors. Based on the FLSs and backstepping design technique, a novel adaptive fuzzy tracking control strategy is proposed to guarantee that the closed-loop nonlinear system is semiglobally finite-time stable in probability via Lyapunov stability theory and It[Formula Omitted] formula. Compared with existing results, the transformed error signal was regarded as a stochastic variable. In addition, the expressions of the first and second-order partial derivatives of the transformed error signals are given in this article. Finally, a simulation example with different covariance values is given to show the effectiveness of the proposed control strategy.
Author	Wang, Nan Song, Shuzhong Wang, Tong Fu, Zhumu
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SubjectTerms	Adaptive control Adaptive fuzzy control Adaptive systems Approximation Backstepping Continuity (mathematics) Error signals Fuzzy control Fuzzy logic fuzzy logic systems (FLSs) Fuzzy systems Lyapunov methods Mathematical analysis Nonlinear systems stochastic nonlinear systems Stochastic processes Stochastic systems Tracking control
Title	Adaptive Fuzzy Finite-Time Tracking Control of Stochastic High-Order Nonlinear Systems With a Class of Prescribed Performance
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