Title :
Parametric Lyapunov function approach to H2 analysis and control of linear parameter-dependent systems
Author :
de Souza, C.E. ; Trofino, A. ; de Oliveira, J.
Author_Institution :
Dept. of Syst. & Control, Laboratorio Nacional de Computacao Cientifica, Petropolis, Brazil
Abstract :
The problems of H2 analysis and control synthesis for linear continuous-time parameter-dependent systems are addressed. The admissible values of the parameters and their rates of variation are assumed to belong to a given polytope. Linear matrix inequality-based methods of H2 performance analysis and state feedback control are developed. Both the design of gain-scheduled and robust controllers are addressed. The proposed methods have the feature that stability as well as the guaranteed H2 performance cost are based on a parameter-dependent Lyapunov function which is quadratic on the system parameters. The controller implementation does not require online knowledge of the rate of variation of the parameters
Keywords :
Lyapunov methods <H2 anal. and control of lin. param.-depend. systs., parametric Lyapunov fn. approach>; continuous time systems <H2 anal. and control of lin. param.-depend. systs., parametric Lyapunov fn. approach>; control system analysis <H2 anal. and control of lin. param.-depend. systs., parametric Lyapunov fn. approach>; control system synthesis <H2 anal. and control of lin. param.-depend. systs., parametric Lyapunov fn. approach>; linear matrix inequalities <H2 anal. and control of lin. param.-depend. systs., parametric Lyapunov fn. approach>; linear systems <H2 anal. and control of lin. param.-depend. systs., parametric Lyapunov fn. approach>; robust control <H2 anal. and control of lin. param.-depend. systs., parametric Lyapunov fn. approach>; H2 analysis; H2 control; continuous-time systems; control synthesis; gain-scheduled controllers; guaranteed H2 performance; linear matrix inequality-based methods; linear parameter-dependent systems; parameter-dependent Lyapunov function; parametric Lyapunov function approach; robust controllers; state feedback control;
Journal_Title :
Control Theory and Applications, IEE Proceedings -
DOI :
10.1049/ip-cta:20030709
