Title :
A direct characterization of L2-gain controllers for LPV systems
Author :
Köse, I.E. ; Jabbari, F. ; Schmitendorf, W.E.
Author_Institution :
Dept. of Mech. & Aerosp. Eng., California Univ., Irvine, CA, USA
Abstract :
In this paper, a class of linear parameter-dependent output feedback controllers that satisfy quadratic stability and an induced L 2-norm bound for a given linear parameter-varying (LPV) plant are considered. By using a parameter-independent common Lyapunov function, the solvability conditions are expressed in terms of finite-dimensional linear matrix inequalities (LMI´s) evaluated at the extreme points of the admissible parameter set. Conditions under which strictly proper controllers can be used are obtained. By restricting some of the controller matrices to be constant, the input and output matrices can be parameter varying, without destroying the convexity of the problem. Cases where the controller matrices can be obtained without interpolation are also discussed, thereby simplifying the implementation of the controller. A numerical example is included which demonstrates the application of the results
Keywords :
Lyapunov methods; feedback; gain control; linear systems; matrix algebra; optimal control; stability; L2-gain controllers; Lyapunov function; convexity; linear matrix inequalities; linear parameter-varying systems; output feedback; quadratic stability; solvability; Aerospace engineering; Attenuation; Control systems; Interpolation; Linear feedback control systems; Linear matrix inequalities; Lyapunov method; Output feedback; Symmetric matrices;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577346
