Browsing by Author "Matteo, Rubagotti"
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Item Metadata only Approximate Explicit MPC on Simplicial Partitions with Guaranteed Stability for Constrained Linear Systems(IFAC Proceedings Volumes, 2012-01-01) Rubagotti, Matteo; Barcelli, Davide; Bemporad, Alberto; Matteo, RubagottiAbstract This paper proposes an approximate explicit model predictive control design approach for regulating linear time-invariant systems subject to both state and control constraints. The proposed control law is implemented as a piecewise-affine function defined on a regular simplicial partition, and has two main positive features. First, the regularity of the simplicial partition allows a very efficient implementation of the control law on digital circuits, with computation performed in tens of nanoseconds. Second, the asymptotic stability of the closed-loop system is enforced a priori by design.