Adaptive fuzzy fixed‐time control for non‐triangular structural stochastic switching nonlinear systems

Author:

Xu Ke1ORCID,Wang Huanqing2,Liu Peter Xiaoping13

Affiliation:

1. The School of Mechanical, Electronic and Control Engineering Beijing Jiaotong University Beijing China

2. The College of Mathematical Sciences Bohai University Jinzhou Liaoning China

3. Department of Systems and Computer Engineering Carleton University Ottawa Ontario Canada

Abstract

AbstractIn this article, the problem of adaptive fixed‐time tracking control is addressed for non‐triangular structural stochastic switching nonlinear systems. Fuzzy logic systems are used to compensate for unknown nonlinearities, and in the meantime, to avoid the algebraic loop problem, which exists in traditional backstepping controller design processes for non‐triangular structural nonlinear systems. The unknown control gain problem is addressed by the construction of proper Lyapunov function candidates. By employing Lyapunov stability theorem, all the closed‐loop signals can be ensured to be semi‐globally practical fixed‐time stable, the output signal can track the desired signal, and the tracking error can converge to a small zone around the origin. The effectiveness of the developed control approach is verified through simulation results.

Funder

Natural Science Foundation of Zhejiang Province

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering

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