Backstepping Robust H∞ Control for a Class of Uncertain Switched Nonlinear Systems Under Arbitrary Switchings. Issue 1 (14th March 2012)

• Record Type: Journal Article
• Authors: Ma, Ruicheng; Dimirovski, Georgi M.; Zhao, Jun
• Is Part Of: Asian journal of control. Volume 15:Issue 1(2013:Jan.)
• Page Start: 41
• Page End: 50
• Publication Date: 2012-03-14
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.512
• Languages: English
• ISSNs: 1561-8625

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>This paper addresses global robust <italic>H</italic>_∞ control for a class of switched nonlinear systems with uncertainty under arbitrary switchings. Each subsystem is in lower triangular form. The uncertainties are assumed to be in a known compact set. The backstepping design technique is used to design a smooth state feedback controller that renders the associated closed‐loop switched system globally robustly asymptotically stable and imposes a pre‐specified upper bound to the <italic>L</italic>₂‐gain under arbitrary switchings. An example is provided to demonstrate the efficacy of the design approach.</p> </abstract>