Dissipative control for linear discrete-time systems

This paper focuses on the problem of quadratic dissipative control for line ar discrete-time systems. We consider the design of feedback controllers to achieve asymptotic stability and strict quadratic dissipativeness. Both th e linear static state feedback and the dynamic output feedback controllers are considered. Necessary and sufficient conditions for the solutions of th e quadratic dissipative control problems are obtained using the linear matr ix inequality (LMI) approach. The main result of this paper unifies existin g results on H-infinity and positive real control and it provides a more fl exible and less conservative control design as it allows for a better trade -off between phase and gain performances. (C) 1999 Elsevier Science Ltd. Al l rights reserved.