Title :
On the piecewise linear nature of min-max model predictive control with bounded uncertainties
Author :
Ramírez, D.R. ; Camacho, E.F.
Author_Institution :
Departamento de Ingenieria de Sistemas y Automatica, Seville Univ., Spain
Abstract :
This paper shows how a min-max model predictive control with bounded additives uncertainties and a quadratic cost function results in a piecewise linear control law. Proofs based on properties of the cost function and the optimization problem are given. The results are illustrated by a simulation example
Keywords :
control system analysis; minimax techniques; piecewise linear techniques; predictive control; uncertain systems; bounded uncertainties; min-max control; model predictive control; optimization; piecewise linear control; quadratic cost function; Additives; Cost function; Equations; Mathematical model; Piecewise linear techniques; Predictive control; Predictive models; Robust control; Robust stability; Uncertainty;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980974