Performance constrained stabilization of uncertain systems: application to load-frequency control

In this paper, we propose a new approach to the design of a stable closed-loop system with uncertainties and a predefined performance constraint. We establish a relationship between the ranges of uncertainties and the performance of the system in terms of a well known robustness measure. We derive sufficient conditions for our design method to provide a constant feedback gain that stabilizes a given system with bounded uncertainties and meets the performance requirement. Our method is applied to the problem of load-frequency control for a power system but is applicable to other systems with uncertainties, We provide numerical results to verify that the system can be stabilized while satisfying the performance constraint. (C) 1999 Elsevier science Ltd. All rights reserved.