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Moving horizon control of linear systems with input saturation and plant uncertainty. II: Disturbance rejection and tracking. (English) Zbl 0782.93051

Summary: We present a moving horizon feedback system, based on constrained optimal control algorithms, for linear plants with input saturation. The system is a nonconventional sampled-data system: its sampling periods vary from sampling instant to sampling instant, and the control during the sampling time is not constant, but determined by the solution of an open loop optimal control problem. In Part 1 we showed that the proposed moving horizon control system is robustly stable. In this paper we show that it is cabable of asymptotically suppressing a class of \(L_ \infty\) bounded disturbances that are restricted to a subspace, and of asymptotically following a class of reference inputs that are continuously differentiable, bounded in magnitude and slope, and restricted to a subspace.

MSC:

93C15 Control/observation systems governed by ordinary differential equations
93C05 Linear systems in control theory
93B52 Feedback control
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