Title :
State feedback optimal H2 and H∞ problems for continuous-time periodic systems
Author_Institution :
Dipt. di Elettron., Politec. di Milano, Milan, Italy
Abstract :
This paper is devoted to three state-feedback control problems for continuous-time linear periodic systems, namely the H2 control problem, the H∞ control problem and the mixed H2/H∞ control problem. The development is based on the the properties of differential Lyapunov and Riccati equations and inequalities. New insight and technical tools are provided for the parametrization of memoryless H∞ controllers and a new algorithm is proposed for the suboptimal solution of the mixed H2/H∞ problem.
Keywords :
H2 control; Lyapunov methods; Riccati equations; continuous time systems; differential equations; linear systems; memoryless systems; periodic control; state feedback; suboptimal control; time-varying systems; Riccati equation; continuous-time linear periodic systems; continuous-time periodic systems; differential Lyapunov equation; memoryless H∞ controller parametrization; mixed H2/H∞ control problem; state-feedback control problems; suboptimal solution; Context; Convex functions; Linear matrix inequalities; Linear programming; Riccati equations; Standards; Symmetric matrices; H∞/L1; Periodic systems; Robust control;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
