Adaptive Gain-Scheduled H_∞ Control of Linear Parameter-Varying Systems

Abstract

This paper concerns with a new class of adaptive gain-scheduled H_∞ control of linear parameter-varying (LPV) systems. The plants in this manuscript are assumed to be polytopic LPV systems, but the time-varying parameters in those plants are not available for measurement, and thus, the conventional gain-scheduled control strategy cannot be applied. In the proposed adaptive schemes, the estimates of those unknown parameters are obtained recursively, and the current estimates are fed to the controllers to stabilize the plants and to attain H_∞ control performance adaptively. Stability analysis of the adaptive control systems is carried out by utilizing Lyapunov approaches based on linear matrix inequalities in the bounded real lemma.