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Asynchronous H ∞ control of time‐delayed switched systems with actuator saturation via anti‐windup design
Author(s) -
He Hangfeng,
Gao Xianwen,
Qi Wenhai
Publication year - 2017
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2330
Subject(s) - control theory (sociology) , asynchronous communication , actuator , piecewise , computer science , saturation (graph theory) , lyapunov function , mathematics , control (management) , nonlinear system , mathematical analysis , computer network , physics , combinatorics , artificial intelligence , quantum mechanics
Summary This paper deals with the problem of asynchronous H ∞ control for time‐delay switched systems under actuator saturation via anti‐windup design, where asynchronous switching means the switching of the controllers has a lag to the switching of subsystems. By constructing an appropriate piecewise Lyapunov‐Krasovskii function and using local sector conditions, sufficient conditions for solving the problem are derived in the form of linear matrix inequalities. Moreover, the domain of attraction is maximized. Finally, an application example is given to demonstrate the validity of the main results.