Abstract
In this paper, a receding horizon control scheme able to stabilize linear periodic time-varying systems, in the sense of asymptotic convergence, is proposed. The presented approach guarantees that input constraints are always satisfied if the optimization problem is feasible at the initial time.
Unlike the usual approaches for linear systems, a finite prediction horizon is used. Stability is ensured by choosing a time-varying terminal cost, that approximates an infinite horizon cost and is related to the solution of a Matrix Riccati differential equation. Sufficient conditions on the system for the design of its corresponding time-varying terminal region are derived, such that it is also possible to incorporate input constraints. This region is based on the time-varying terminal cost and can be calculated off-line.
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Kern, B., Böhm, C., Findeisen, R., Allgöwer, F. (2009). Receding Horizon Control for Linear Periodic Time-Varying Systems Subject to Input Constraints. In: Magni, L., Raimondo, D.M., Allgöwer, F. (eds) Nonlinear Model Predictive Control. Lecture Notes in Control and Information Sciences, vol 384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01094-1_9
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DOI: https://doi.org/10.1007/978-3-642-01094-1_9
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