Premium
Control of periodic sampling systems subject to actuator saturation
Author(s) -
Yang Hongjiu,
Li Zhiwei,
Shi Peng,
Hua Changchun
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.3286
Subject(s) - lyapunov function , control theory (sociology) , saturation (graph theory) , sampling (signal processing) , delta operator , mathematics , periodic system , actuator , periodic function , lyapunov redesign , control lyapunov function , stability theory , control (management) , computer science , nonlinear system , mathematical analysis , physics , shift operator , compact operator , filter (signal processing) , quantum mechanics , artificial intelligence , combinatorics , extension (predicate logic) , computer vision , programming language
Summary In this paper, the control problem of linear systems with periodic sampling period subject to actuator saturation is considered via delta operator approach. Using periodic Lyapunov function, sufficient conditions of local stabilization for periodic sampling systems are given. By solving an optimization problem, we derive the periodic feedback control laws and the estimate of the domain of attraction. As the saturation function sat(·) belongs to the sector [0,1], sufficient conditions are derived by constructing saturation‐dependent Lyapunov functions to ensure that the periodic sampling system is globally asymptotically stable. A numerical example is given to illustrate the theoretical results proposed in this paper. Copyright © 2014 John Wiley & Sons, Ltd.