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This paper applies recently developed techniques for the PieceWise-Affine (PWA) approximation of explicit Model Predictive Control (MPC) to an Adaptive Cruise Control system. The optimal MPC law is approximated by using a particular class of PWA functions defined over a domain partitioned into simplices, referred to as PieceWise-Affine Simplicial functions. This approximation technique allows a very fast circuit implementation of the control function, thereby enabling the usage of MPC in embedded systems with extremely small sampling periods.
Date of Conference: 29-31 Aug. 2011