Robust H∞ control with time-delay in controller for dynamic non-linear discrete systems

Author

Fu, Xingjian ; Hou, Ming ; Liu, Xiaohe ; Li, Yingchun

Author_Institution

Sch. of Autom., Beijing Inf. Sci. & Technol. Univ., Beijing, China

fYear

2012

fDate

15-17 July 2012

Firstpage

536

Lastpage

540

Abstract

This paper deals with the problems of robust H_∞ control for uncertain time-delay non-linear discrete systems. The parametric uncertainties are time-varying as well as norm bounded. Robust H_∞ controller designed contains state feedback and time-delay state feedback. Based on the Lyapunov method, the state feedback H_∞ control design for robust stability is given in terms of solutions to linear matrix inequality (LMI). The solutions of the LMI can be easily obtained using Matlab toolbox. At last, a numerical example and simulation are included to illustrate the design procedures.

Keywords

H^∞ control; control system synthesis; delays; discrete systems; linear matrix inequalities; nonlinear control systems; robust control; state feedback; uncertain systems; LMI; Lyapunov method; Matlab toolbox; control design; design procedure; dynamic nonlinear discrete system; linear matrix inequality; norm bounded uncertainty; parametric uncertainty; robust H_∞ control; robust stability; time-delay state feedback; time-varying uncertainty; uncertain time delay; Closed loop systems; Educational institutions; Linear matrix inequalities; Robustness; State feedback; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Information Processing (ICICIP), 2012 Third International Conference on

Conference_Location

Dalian

Print_ISBN

978-1-4577-2144-1

Type

conf

DOI

10.1109/ICICIP.2012.6391425

Filename

6391425