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This paper develops a new design procedure for robust output feedback gain scheduled and switched PID controller design for a linear parameter varying discrete‐time system with polytopic uncertainties. The proposed approach is based on DR regions for robust pole placement and allows to consider also other performance indices. The design procedure aims to design a robust PID gain scheduled and switched controller for polytopic gain scheduled and switched plant model such that the closed‐loop eigenvalues for fixed gain scheduled parameters are in the prescribed DR region and the corresponding quadratic performance has the minimal value. The obtained design procedure can be also used to design a robust discrete‐time switched controller with arbitrarily switching law.
Asian Journal of Control – Wiley
Published: Sep 1, 2022
Keywords: discrete‐time systems; D R regions; extended Lyapunov function; gain scheduled controller; robust pole placement
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