Finite-Time Adaptive Fuzzy Prescribed Performance Control for High-Order Stochastic Nonlinear Systems

In this article, the high-order nonlinear system is commonly studied in an underactuated weakly coupled mechanical system, the control design is difficult from the tractional control design for nonlinear systems. Thus, we study the finite-time fuzzy adaptive error constraint control problem for stoc...

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Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 30; no. 7; pp. 2227 - 2240
Main Authors Sui, Shuai, Chen, C. L. Philip, Tong, Shaocheng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptive control
Adaptive fuzzy control
Adaptive systems
Asymptotic stability
Control design
Control methods
Control systems
Dynamical systems
Error analysis
Fuzzy control
Fuzzy logic
Fuzzy systems
high-order nonlinear systems
Mechanical systems
Nonlinear control
Nonlinear dynamics
Nonlinear systems
prescribed performance
Stability criteria
Stochastic systems
stochastically finite-time control
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Summary:In this article, the high-order nonlinear system is commonly studied in an underactuated weakly coupled mechanical system, the control design is difficult from the tractional control design for nonlinear systems. Thus, we study the finite-time fuzzy adaptive error constraint control problem for stochastic high-order nonlinear nonstrict feedback systems. Fuzzy logic systems are utilized to identify the unknown nonlinear dynamics, a new error transfer variable is used to achieve the prescribed performance. Based on adding a power integrator technique and adaptive backstepping recursive control, a novel adaptive fuzzy finite-time prescribed performance control scheme is developed. By utilizing stochastically finite-time stable theory, the proposed control method can guarantee that the high-order system is semi-global finite-time stable in probability. Finally, both numerical and practical simulations are provided to verify the feasibility and effectiveness of the developed control method.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2021.3077317