Robust H∞ control of uncertain time-varying and linear delay systems

Author

Aixian, Pan ; Zhaohua, Zeng ; Zhijun, Su

Author_Institution

Sch. of Autom. Eng., Qingdao Technol. Univ., Qingdao, China

fYear

2010

fDate

24-27 Aug. 2010

Firstpage

129

Lastpage

134

Abstract

The problem of robustly control for linear systems with state and input-time-varying delay is studied in terms of integral inequality. The design method of control law with time-delay dependent condition is derived for this class of uncertain system based on Linear Matrix Inequality (LMI) through the conformation of appropriate Lyapunov-Krasovskii function. The time-delay dependent condition of state-feedback controller is included in the result. Numerical examples are used to demonstrate the validity of the proposed method.

Keywords

H^∞ control; Lyapunov matrix equations; control system synthesis; delays; linear matrix inequalities; robust control; state feedback; time-varying systems; uncertain systems; Lyapunov-Krasovskii function; integral inequality; linear delay system; linear matrix inequality; robust H_∞ control; state-feedback controller; time-delay dependent condition; uncertain time-varying system; Control systems; Delay; Design methodology; Linear matrix inequalities; Numerical stability; Symmetric matrices; Vectors; input delay; linear matrix inequality (LMI); robust Hw control; state delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Education (ICCSE), 2010 5th International Conference on

Conference_Location

Hefei

Print_ISBN

978-1-4244-6002-1

Type

conf

DOI

10.1109/ICCSE.2010.5593678

Filename

5593678