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

fYear

2015

fDate

23-25 May 2015

Firstpage

2804

Lastpage

2809

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7162405

Filename

7162405