Fixed-order robust controller design with time-domain constraints

摘要

This paper deals with overshoot reduction in fixedordercontroller design for linear systems subject to polytopicuncertainty. The basis of the developed synthesis method isa recent convex parameterization for fixed-order stabilizingcontrollers based on the polynomial approach. Two convexconstraints are developed in order to decrease the overshootof the closed-loop step response. First, based on the existingconvex parameterization and peak-to-peak gain performance acriterion is developed to minimize the peak value of the stepresponse. In the second method, Markov parameters of thesystem are used to achieve a step response with less overshoot.Simulation results illustrate the effectiveness of the developedmethods.