Event-triggered fixed-time adaptive fuzzy control for state-constrained stochastic nonlinear systems without feasibility conditions

The problem of event-triggered fixed-time control for state-constrained stochastic nonlinear systems is discussed in this article. Different from the barrier Lyapunov function (BLF)-based and Integral BLF-based schemes that rely on feasibility conditions (FCs), by introducing the nonlinear state-dep...

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Bibliographic Details
Published in:Nonlinear dynamics 2021-07, Vol.105 (1), p.403-416
Main Authors: Yao, Yangang, Tan, Jieqing, Wu, Jian, Zhang, Xu
Format: Article
Language:English
Subjects:
Adaptive control
Automotive Engineering
Classical Mechanics
Closed loop systems
Constraints
Control
Control stability
Design
Dynamic stability
Dynamical Systems
Engineering
Error compensation
Explosions
Feasibility
Feedback control
Fuzzy control
Liapunov functions
Mechanical Engineering
Nonlinear systems
Original Paper
Stochastic systems
Surface stability
Vibration
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Summary:The problem of event-triggered fixed-time control for state-constrained stochastic nonlinear systems is discussed in this article. Different from the barrier Lyapunov function (BLF)-based and Integral BLF-based schemes that rely on feasibility conditions (FCs), by introducing the nonlinear state-dependent functions, the asymmetric time-varying state constraints are handled without FCs. Combined with the fixed-time stability theory and the dynamic surface control technique with fixed-time filter, the fixed-time stability in probability of the closed-loop system is ensured and the problems of “explosion of complexity” and “singularity” are overcome. Furthermore, the novel fixed-time error compensation signals are designed to compensate the filtering errors, and the event-triggered control technique is used to save network resources. Simulations also illustrate the effectiveness of the proposed method.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-06633-7