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Parametric Analysis of Controllers for Constrained Linear Systems

Author(s):

C.N. Jones
Conference/Journal:

IEEE Conference on Decision and Control, San Diego, USA
Abstract:

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.

Year:

2006
Type of Publication:

(06)Talk
Supervisor:

M. Morari

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