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Parametric Analysis of Controllers for Constrained Linear Systems


C.N. Jones

IEEE Conference on Decision and Control, San Diego, USA

We present an application of parametric linear programming for the parametric analysis of constrained control systems. In particular, 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. We introduce a novel simplex-based algorithm for solving such a class of problems. Efectiveness of the proposed procedure is demonstrated on several computational examples.


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M. Morari

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