Adaptive Fuzzy Command Filtered Control for Chua’s Chaotic System

Author:

Wang Lin1ORCID,Wei Hui1ORCID,Yang Chunzhi2

Affiliation:

1. School of Mathematics and Big Date, Anhui University of Science and Technology, Huainan 232001, China

2. Department of Applied Mathematics, Huainan Normal University, Huainan 232038, China

Abstract

In this paper, we propose the command filtered adaptive fuzzy backstepping control (AFBC) approach for Chua’s chaotic system with external disturbance. Based on two proposed first-order command filters, the convergence of tracking errors as well as the problem of “explosion of complexity” in traditional backstepping design procedure is solved. In the command filtered AFBC design, we do not need to calculate the complicated partial derivatives of the virtual control inputs. Fuzzy logic systems (FLSs) are used to identify the system uncertainties in real time. Based on Lyapunov stability criterion, the proposed controller can guarantee that all signals in the closed-loop system keep bounded, and the tracking errors converge to a small region eventually. Finally, simulation studies have been provided to verify the effectiveness of the proposed method.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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