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Fixed-order robust controller design with time-domain constraints

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5 Author(s)
Keivan Zavari ; PMA Division, Mechanical Engineering Department, Katholieke Universiteit Leuven, Belgium ; Hamid Khatibi ; Vahid Johari Majd ; Goele Pipeleers
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This paper deals with overshoot reduction in fixed order controller design for linear systems subject to polytopic uncertainty. The basis of the developed synthesis method is a recent convex parameterization for fixed-order stabilizing controllers based on the polynomial approach. Two convex constraints are developed in order to decrease the overshoot of the closed-loop step response. First, based on the existing convex parameterization and peak-to-peak gain performance a criterion is developed to minimize the peak value of the step response. In the second method, Markov parameters of the system are used to achieve a step response with less overshoot. Simulation results illustrate the effectiveness of the developed methods.

Published in:

Proceedings of the 2011 American Control Conference

Date of Conference:

June 29 2011-July 1 2011