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Backstepping Robust H ∞ Control for a Class of Uncertain Switched Nonlinear Systems Under Arbitrary Switchings
Author(s) -
Ma Ruicheng,
Dimirovski Georgi M.,
Zhao Jun
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.512
Subject(s) - backstepping , control theory (sociology) , nonlinear system , class (philosophy) , stability theory , mathematics , exponential stability , robust control , controller (irrigation) , triangular matrix , upper and lower bounds , state (computer science) , set (abstract data type) , control (management) , computer science , adaptive control , mathematical analysis , physics , pure mathematics , algorithm , quantum mechanics , artificial intelligence , agronomy , invertible matrix , biology , programming language
This paper addresses global robust H ∞ 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 L 2 ‐gain under arbitrary switchings. An example is provided to demonstrate the efficacy of the design approach.