Title :
State-feedback controller synthesis for parameter-dependent LTI systems
Author :
Iwasaki, Tetsuya ; Tsiotras, Panagiotis ; Zhang, Xiping
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
In this paper we show that the class of polynomially parameter-dependent quadratic (PPDQ) Lyapunov functions of specified degree characterizes the stability of single-parameter dependent linear, time-invariant, (s-PDLTI) systems. Using PPDQ Lyapunov functions we provide necessary and sufficient conditions for the stability of s-PDLTI systems. Checking the feasibility of these conditions can be cast as a convex, finite-dimensional programming problem. Finally, we extend this analysis result to state-feedback parameter-dependent controller synthesis for s-PDLTI systems.
Keywords :
Lyapunov methods; continuous time systems; control system synthesis; convex programming; quadratic programming; robust control; state feedback; convex finite-dimensional programming problem; parameter-dependent LTI systems; polynomially parameter-dependent quadratic Lyapunov function; single-parameter dependent linear time-invariant systems; state-feedback controller synthesis; state-feedback parameter-dependent controller synthesis; Aerospace engineering; Control system synthesis; Linear matrix inequalities; Lyapunov method; Optimization methods; Polynomials; Robust stability; Stability analysis; Stability criteria; Sufficient conditions;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470021
