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Disturbance rejection of singularly perturbed switched systems subject to actuator saturation
Author(s) -
Wang Qianjin,
Zhou Linna,
Ma Xiaoping,
Yang Chunyu
Publication year - 2017
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.4017
Subject(s) - control theory (sociology) , perturbation (astronomy) , singular perturbation , piecewise , disturbance (geology) , lyapunov function , actuator , dwell time , mathematics , convex optimization , saturation (graph theory) , controller (irrigation) , regular polygon , computer science , control (management) , nonlinear system , mathematical analysis , physics , medicine , paleontology , clinical psychology , geometry , quantum mechanics , artificial intelligence , agronomy , biology , combinatorics
Summary This paper addresses the disturbance rejection problem for singularly perturbed switched systems subject to actuator saturation. We focus our attention on the synthesis of feedback control laws to achieve disturbance rejection for the systems. By using the average dwell‐time approach together with the piecewise Lyapunov function technique, sufficient conditions for the existence of a controller are derived in terms of LMIs, which are independent of the singular perturbation parameter ε. Some convex optimization problems are formulated to get a larger estimate of the basin of attraction and a better disturbance rejection ability. The state‐feedback controller depends on the singular perturbation parameter ε, but it is shown to be well posed for all ε∈(0,ε 0 ]. In addition, if ε is sufficiently small, the ε‐dependent controller can be reduced to an ε‐independent one. Finally, a hydraulic servoposition system is used to show the feasibility and effectiveness of the obtained results.