Parametric Analysis of Controllers for Constrained Linear Systems

We analyze properties of closed-loop systems based on explicit model predictive control (MPC) when parameters of the controllers are changing. Formulation of the problem in the framework of MPC with a cost based on piecewise linear norms leads to the generalized multi-parametric linear program containing parameters both in the cost and in the constraints. The focus of the paper is on describing a novel simplex-based algorithm for solving such a class of problems. The algorithm uses the concept of lexicographic perturbation to resolve problems caused by degeneracy


Published in:
Proceedings of the 45th IEEE Conference on Decision and Control, 4514-4519
Presented at:
45th IEEE Conference on Decision and Control, San Diego, CA, USA, 13-15 December 2006
Year:
2006
Publisher:
IEEE
Laboratories:




 Record created 2011-10-25, last modified 2018-01-28

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