Title :
An LMI approach to the output-feedback guaranteed cost control for uncertain time-delay systems
Author :
Esfahani, Said H. ; Petersen, Ian R.
Author_Institution :
Sch. of Electr. Eng., Australian Defence Force Acad., Canberra, ACT, Australia
Abstract :
This paper considers the problem of output-feedback guaranteed cost controller design for uncertain time-delay systems The uncertainty in the system is assumed to be norm-bounded and time-varying. The time-delay is allowed to enter the state and the measurement equations. It is proved that the existence of the guaranteed cost controller is equivalent to the feasibility of certain matrix inequalities. A numerical algorithm is developed to construct a full order output-feedback controller that minimizes a specific cost bound for a quadratic performance index
Keywords :
control system synthesis; delay systems; feedback; matrix algebra; minimisation; performance index; time-varying systems; uncertain systems; LMI; cost bound minimization; full order output-feedback controller; linear matrix inequalities; measurement equation; norm-bounded time-varying uncertainty; numerical algorithm; output-feedback guaranteed cost controller design; quadratic performance index; state equation; uncertain time-delay systems; Australia; Control systems; Costs; Delay systems; Equations; Force control; Linear matrix inequalities; Robust control; Robust stability; Uncertainty;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758474