Adaptive fuzzy backstepping control for a class of MIMO switched nonlinear systems with unknown control directions. Issue 6 (8th April 2015)

• Record Type: Journal Article
• Authors: Hou, Yingxue; Tong, Shaocheng
• Is Part Of: Complexity. Volume 21:Issue 6(2016)
• Page Start: 155
• Page End: 166
• Publication Date: 2015-04-08
• Subjects: switched nonlinear systems -- adaptive fuzzy control -- fuzzy logic systems -- unknown control directions -- backstepping technique; Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1002/cplx.21676
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this article, an adaptive fuzzy output tracking control approach is proposed for a class of multiple‐input and multiple‐output uncertain switched nonlinear systems with unknown control directions and under arbitrary switchings. In the control design, fuzzy logic systems are used to identify the unknown switched nonlinear systems. A Nussbaum gain function is introduced into the control design and the unknown control direction problem is solved. Under the framework of the backstepping control design, fuzzy adaptive control and common Lyapunov function stability theory, a new adaptive fuzzy output tracking control method is developed. It is proved that the proposed control approach can guarantee that all the signals in the closed‐loop system are bounded and the tracking error remains an adjustable neighborhood of the origin. A numerical example is provided to illustrate the effectiveness of the proposed approach. © 2015 Wiley Periodicals, Inc. Complexity 21: 155–166, 2016