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Robust Tracking Control with Preview Action for Uncertain Discrete-time Systems

Li Li, Fucheng Liao*, and Zhenqin Ren
International Journal of Control, Automation, and Systems, vol. 18, no. 3, pp.719-729, 2020

Abstract : This paper discusses the robust preview control problem for uncertain discrete-time systems, where future reference and disturbance signals over a finite horizon can be previewed. First, in order to utilize future information for the controller design, an augmented error system including future information on previewable signals is constructed by using two new auxiliary variables related to the original system state and input. Second, sufficient conditions for designing a robust state feedback preview controller are given in terms of solutions to a set of linear matrix inequalities (LMIs). A preview controller is designed, one which guarantees that for admissible uncertainties and disturbances, the output of the closed-loop system can asymptotically track the reference signal. Finally, numerical simulation examples illustrate the superiority of the desired preview controller for the uncertain system.

Keyword : Augmented error system, integrator, LMI, preview control, robust control.

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