Polynomial chaos for the design of robust controller with time specifications: a comparison of two approaches
by Amani Added; Maher Ben Hariz; Faouzi Bouani
International Journal of Modelling, Identification and Control (IJMIC), Vol. 38, No. 3/4, 2021

Abstract: This paper deals with the design of a robust controller for stochastic dynamic systems. A new method is proposed to compute the controller parameters to achieve the desired time requirements. It is based on the polynomial chaos expansion which is used to provide a high order deterministic state space model. Then, the controller parameters are obtained by minimising a cost function which depends on the closed loop and the desired characteristic polynomials. The proposed method is compared to a classical method founded on an uncertainty parametric model. The control law problem is formulated as a min-max optimisation. Developed controllers ensure desired closed loop performances such as settling time and overshoot. Simulation results are presented and compared to highlight the efficiency and the performances of the proposed controllers.

Online publication date: Mon, 13-Jun-2022

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