Abstract
This paper considers synthesis of gain-scheduled (GS) controllers for discrete-time linear parameter-varying systems. We propose a new parameter-dependent LMI condition for synthesis whose solution gives a GS controller. Derivation of the proposed LMI does not depend on a sufficient condition that the previous paper introduced via matrix augmentation and forcing some of the variables to be indenpendent of the scheduling parameter to obtain an LMI for synthesis. Numerical examples are provided to illustrate that the proposed method can synthesize a gain-scheduled controller with a smaller upper bound of closed-loop l2 gain.
