Title :
Mixed H2/H∞ output tracking control for discrete-time systems with multiple time-varying delays
Author :
Ni Zhang ; Yixin Fan ; Xiongxiong He
Author_Institution :
Coll. of Inf. Eng., Zhejiang Univ. of Technol., Hangzhou, China
Abstract :
In this paper, mixed H2/H∞ output tracking control is investigated for discrete-time systems with multiple time-varying delays. Based on free-weighting matrices method and linear matrix inequality (LMI) technique, the delay-dependent sufficient condition is derived for guaranteeing the asymptotic stability and mixed H2/H∞ output tracking performance of the discrete-time system with multiple time-varying delays. The nonlinear matrix inequality involved in the controller design is transformed into nonlinear programming problem constrained by LMIs using the cone complementarity linearization (CCL) algorithm. Finally, the simulation results are given to demonstrate the effectiveness of the proposed methods.
Keywords :
H∞ control; H2 control; asymptotic stability; control system synthesis; delays; discrete time systems; linear matrix inequalities; linearisation techniques; nonlinear programming; time-varying systems; CCL algorithm; LMI technique; asymptotic stability; cone complementarity linearization algorithm; controller design; delay-dependent sufficient condition; discrete-time systems; free-weighting matrix method; linear matrix inequality technique; mixed H2-H∞ output tracking control; multiple time-varying delays; nonlinear matrix inequality; nonlinear programming problem; Control systems; Delay effects; Delays; Discrete-time systems; Linear matrix inequalities; Performance analysis; Time-varying systems; Discrete-Time Systems; H2/H∞ Performance; Multiple Time-Varying Delays; Output Tracking Control;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162405
