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Switching signal design for asymptotic stability of uncertain multiple equilibrium switched systems with actuator saturation
Author(s) -
Wu Wenjuan,
Duan Guangren,
Tan Feng
Publication year - 2015
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3375
Subject(s) - control theory (sociology) , parametric statistics , actuator , saturation (graph theory) , lyapunov function , bounded function , norm (philosophy) , exponential stability , robust control , rate of convergence , mathematics , computer science , mathematical optimization , control system , engineering , nonlinear system , channel (broadcasting) , control (management) , law , physics , mathematical analysis , computer network , statistics , electrical engineering , combinatorics , artificial intelligence , quantum mechanics , political science
Summary This paper addresses the problem of robust control for a class of multiple equilibrium switched systems with actuator saturation and parameter uncertainties. The parameter uncertainties are described in norm‐bounded form. By combining the parametric Lyapunov equation approach and the gain‐scheduling technique, stabilization conditions are established in terms of linear matrix inequalities. State‐feedback controllers can be designed to guarantee the robust stability and performance of the closed‐loop system in the presence of parameter uncertainties and actuator saturation. The proposed method is to increase the convergence rate during the convergence of the states. Numerical examples and simulations are worked out to illustrate the feasibility of the proposed results. Copyright © 2015 John Wiley & Sons, Ltd.