Explicit constraint control based on interpolation techniques for time-varying and uncertain linear discrete-time systems

Abstract In this paper we consider the problem of regulating a time-varying and uncertain linear discrete-time system to the origin. It is shown how, by applying an interpolation technique and minimizing an appropriate objective function, one can achieve feasibility and a robustly and asymptotically stable closed-loop behavior. Moreover, we show that the control is a piecewise affine and continuous function of state. A simulation result demonstrates the performance of our approach.

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