Title :
Robust H2 control of norm-bounded uncertain continuous-time system-an LMI approach
Author :
Lai, Cheng-Te ; Fang, Chun-Hsiung ; Kau, Shih-Wei ; Lee, Chin-Hsihg
Author_Institution :
Dept. of Electr. Eng., Nat. Kaohsiung Univ. of Appl. Sci., Taiwan
Abstract :
This paper considers robust H2 control problem of continuous-time systems with time-varying norm-bounded uncertainties. A necessary and sufficient condition for the analysis of robust H2 control is derived in the form of linear matrix inequalities (LMI). Using the analysis result, a state feedback controller and a dynamic output feedback controller are designed respectively so that the closed-loop uncertain system is quadratically stable and all its transfer matrices have H2-norm bounded by a prescribed value. With LMI manipulations, two necessary and sufficient conditions for the solvability of above design problems are addressed.
Keywords :
H∞ control; closed loop systems; continuous time systems; control system analysis; control system synthesis; linear matrix inequalities; robust control; state feedback; time-varying systems; uncertain systems; LMI; closed loop uncertain system; continuous time system; control system analysis; control system synthesis; dynamic output feedback controller; linear matrix inequalities; norm bounded uncertain system; quadratic stability; robust H2 control; state feedback controller; time varying system; Control systems; Linear matrix inequalities; Output feedback; Robust control; Robustness; State feedback; Sufficient conditions; Time varying systems; Uncertain systems; Uncertainty;
Conference_Titel :
Computer Aided Control Systems Design, 2004 IEEE International Symposium on
Print_ISBN :
0-7803-8636-1
DOI :
10.1109/CACSD.2004.1393883
