Robust Strict Positive Real Stabilization for Uncertain Systems

This paper is devoted to the study of robust strict positive real stabilization for uncertain systems, i.e. considering how to design a single controller which can not only robustly stabilizes a plant with uncertainties under unity-feedback but also makes the closed-loop system robustly strictly positive real. Though this problem is of important significance in robust control, adaptive control and network theory, it has not had more attention up to now. This paper covers the following problems: (1) Robust strict positive real stabilization criteria for uncertain systems are established. (2) The synthesis approach of a controllet is given, (3) Some applications to the asymptotic hyperstability robustness of nonlinear systems are introduced simply.