Design of a robust H∞ repetitive control system with time-delay

Author

Zhen Shao ; Zhengrong Xiang ; Karimi, Hamid Reza

Author_Institution

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

fYear

2014

fDate

1-4 June 2014

Firstpage

2312

Lastpage

2317

Abstract

This paper investigates the problem of designing a robust H_∞ repetitive control system with periodic time-delay. Firstly, a corobust H_∞ repetitive control system with periodicntinuous-discrete two-dimensional (2D) model with time-delay is constructed to describe the control and learning actions of the system. Then, by choosing an appropriate Lyapunov functional, LMI-based sufficient stability conditions for asymptotic stability and satisfactory H_∞ tracking performance of the 2D model is derived. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

Keywords

H^∞ control; Lyapunov methods; asymptotic stability; control system synthesis; delays; functional equations; linear matrix inequalities; periodic control; robust control; 2D model H_∞ tracking; LMI-based sufficient stability conditions; Lyapunov function; asymptotic stability; continuous discrete two-dimensional model; linear matrix inequality; periodic time delay system; robust H_∞ repetitive control system learning; Attenuation; Control systems; Design methodology; Numerical stability; Robustness; Stability analysis; Symmetric matrices; 2D systems; H∞ performance; LMI(Linear matrix inequality); repetitive control; time-delay system;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics (ISIE), 2014 IEEE 23rd International Symposium on

Conference_Location

Istanbul

Type

conf

DOI

10.1109/ISIE.2014.6864979

Filename

6864979