Repetitive control for a class of linear discrete-time switched systems

Author

Zhen Shao ; Shei Huang ; Zhengrong Xiang

Author_Institution

Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China

fYear

2014

Firstpage

2186

Lastpage

2190

Abstract

In this paper, the repetitive control is considered for a class of linear discrete-time switched systems with arbitrary switching signals. The periodicity of the repetitive control system is exploited to establish a discrete 2D (two-dimensional) model that to describe the control and learning actions of the system. Then, by choosing an appropriate multiple Lyapunov function, LMI (linear-matrix-inequality) based a convergence condition for the repetitive control system is derived. A numerical example is given to illustrate the effectiveness of the proposed method.

Keywords

Lyapunov methods; convergence of numerical methods; discrete time systems; learning systems; linear matrix inequalities; linear systems; switching systems (control); LMI; arbitrary switching signals; convergence condition; discrete 2D model; discrete two-dimensional model; linear discrete-time switched systems; linear-matrix-inequality; multiple Lyapunov function; repetitive control system; Linear systems; Lyapunov methods; Numerical stability; Stability analysis; Switched systems; Switches; LMI; Switched systems; arbitrary switching signals; discrete 2D systems; repetitive control;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2014 11th World Congress on

Type

conf

DOI

10.1109/WCICA.2014.7053061

Filename

7053061