Gain-scheduled H∞-control of discrete-time polytopic time-varying systems

This paper presents synthesis procedures for the design of both robust and gain-scheduled H_∞ static output feedback controllers for discrete-time linear systems with time-varying parameters. The parameters are assumed to vary inside a polytope and have known bounds on their rate of variation. The geometric properties of the polytopic domain are exploited to derive a finite set of linear matrix inequalities that consider the bounds on the rate of variation of the parameters. A numerical example illustrates the proposed approach.