OPTIMAL CHOICE OF NONLINEAR OUTPUT FEEDBACK CONTROL LAW FOR A CLASS OF UNCERTAIN PARABOLIC SYSTEMS

In this paper we consider optimal output feedback boundary control problems for a class of semilinear uncertain parabolic systems. The uncertain initial boundary value problem is converted into an equivalent Cauchy problem described by a differential inclusion in appropriate Banach spaces. We follow game-theoretic formalism and prove existence of saddle points giving optimal strategies. This is an extension of a recent result of the author from linear to a class of nonlinear feedback operators. The paper is concluded with a brief description of open problems and future directions.