Title :
H∞ control with parametric Lyapunov functions
Author :
Yu, Jie ; Sideris, Athanasios
Author_Institution :
Dept. of Mech. & Aerosp. Eng., California Univ., Irvine, CA, USA
Abstract :
A new control synthesis approach is proposed for linear parametrically varying (LPV) systems using parameter-dependent quadratic Lyapunov functions. The synthesis problem is formulated via a set of linear matrix inequalities (LMIs). When solved, parameter-dependent controllers are obtained that stabilize the LPV systems and achieve guaranteed performance in an L2-gain sense. The new approach includes the case of parameter-independent Lyapunov functions, and as a result provides additional flexibility in the control design
Keywords :
H∞ control; Lyapunov methods; control system synthesis; matrix algebra; stability; H∞ control; L2-gain guaranteed performance; control synthesis; linear matrix inequalities; linear parametrically-varying systems; parameter-dependent controllers; parameter-dependent quadratic Lyapunov functions; parameter-independent Lyapunov functions; Control design; Control system synthesis; Control systems; Erbium; H infinity control; Lyapunov method; Stability analysis; State feedback; State-space methods; Time varying systems;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478475
