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The Explicit Constrained Min-Max Model Predictive Control of a Discrete-Time Linear System With Uncertain Disturbances

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2 Author(s)
Yu Gao ; Sch. of Electron. Eng., Jeon Buk Nat. Univ., Jeonju, South Korea ; Kil To Chong

In this technical brief, we develop an algorithm to determine the explicit solution of the constrained min-max model predictive control problem. For a discrete-time linear system with bounded additive uncertain disturbance, the control law is determined to be piecewise affine from a quadratic cost function and the state space is partitioned into corresponding polyhedral cones. By moving the on-line implementation to an off-line explicit evaluation, the computational burden is decreased and the applicability of min-max optimization is broadened. The results of this approach are shown via computer simulations.

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Automatic Control, IEEE Transactions on  (Volume:57 ,  Issue: 9 )