Gain scheduled control for discrete-time systems depending on bounded rate parameters

In this paper a linear, discrete-time system depending multiaffinely on uncertain, real time-varying parameters is considered. A new sufficient condition for the stability of this class of systems, in terms of a feasibility problem involving Linear Matrix Inequalities (LMIs), is obtained under the hypothesis that a bound on the rate of variation of the parameters is known. The design of a gain scheduled compensator is also proposed. By means of the solution of a standard LMI feasibility problem, a state feedback gain scheduled controller which guarantees Robust Stability for this class of systems can be designed. Copyright ((C)) 2000 IFAC.