OPTIMAL H(INFINITY)-STATE FEEDBACK-CONTROL FOR CONTINUOUS-TIME LINEAR-SYSTEMS

This paper proposes a convex programming method to achieve optimal H(i nfinity)-state feedback control for continuous-time linear systems. St ate space conditions, formulated in an appropriate parameter space, de fine a convex set containing all the stabilizing control gains that gu arantee an upper bound on the H(infinity)-norm of the closed-loop tran sfer function. An optimization problem is then proposed, in order to m inimize this upper bound over the previous convex set, furnishing the optimal H(infinity)-control gain as its optimal solution. A limiting b ound for the optimum H(infinity)-norm can easily be calculated, and th e proposed method will achieve minimum attenuation whenever a feasible state feedback controller exists. Generalizations to decentralized an d output feedback control are also investigated. Numerical examples il lustrate the theory.