Title :
Delay-dependent robust stabilizability of singular systems with delays
Author_Institution :
Dept. of Mech. Eng., Ecole Polytech de Montreal, Que., Canada
fDate :
29 July-1 Aug. 2005
Abstract :
This paper deals with the class of continuous-time singular uncertain linear systems with time delay in the state vector. The uncertainties we are considering are of norm bounded type. Delay-dependent sufficient conditions on robust stability and robust stabilizability are developed. A design algorithm for a memoryless state feedback controller which guarantees that the closed-loop dynamics are regular, impulse free and robustly stable is proposed in terms of the solutions to linear matrix inequalities (LMIs).
Keywords :
closed loop systems; continuous time systems; control system synthesis; delays; linear matrix inequalities; linear systems; memoryless systems; stability; state feedback; uncertain systems; closed-loop dynamics; continuous-time singular uncertain linear systems; delay-dependent robust stabilizability; linear matrix inequalities; memoryless state feedback controller design algorithm; norm bounded type uncertainties; state vector; time delay; Algorithm design and analysis; Delay effects; Delay systems; Linear systems; Robust stability; Robustness; State feedback; Sufficient conditions; Uncertainty; Vectors;
Conference_Titel :
Mechatronics and Automation, 2005 IEEE International Conference
Print_ISBN :
0-7803-9044-X
DOI :
10.1109/ICMA.2005.1626515
