Title :
LPV analysis and control using fast iterative solutions to rationally parametric Lyapunov and Riccati equations
Author :
Rice, J.K. ; Verhaegen, M.
Author_Institution :
Delft Center for Syst. & Control, Delft Univ., Delft, Netherlands
fDate :
June 30 2010-July 2 2010
Abstract :
We consider the problem of analysis and control of Linear Parameter Varying(LPV) systems. With regard to such problems, solving rationally parametric Lyapunov and Riccati equations for parametric matrices often arises. In this paper, we develop computationally efficient iterative methods for finding rational approximations to solutions to such problems to arbitrary accuracy.
Keywords :
Lyapunov matrix equations; Riccati equations; approximation theory; control system analysis; control system synthesis; iterative methods; nonlinear control systems; LPV analysis; LPV control; Riccati equations; fast iterative solutions; iterative methods; linear parameter varying systems; parametric matrices; rational approximations; rationally parametric Lyapunov equations; Arithmetic; Control system analysis; Control systems; Differential algebraic equations; Linear matrix inequalities; Matrix converters; Power generation; Riccati equations; Space technology; Stability;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5530667
