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Periodic Memory State-Feedback Controller: New Formulation, Analysis, and Design Results

Abstract : This paper proposes a unified setup for robust stability and performance analysis and synthesis for periodic polytopic discrete-time systems. Relying on a general formulation for state-feedback periodic memory controllers and a new time-lifting, new sufficient LMI conditions for the existence of robust stability certificates and H 2 guaranteed cost control laws are derived. Comparisons of the efficiency of different controller structures illustrate these developments on a numerical example.
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https://hal.archives-ouvertes.fr/hal-01982649
Contributor : Jean-François Trégouët <>
Submitted on : Tuesday, January 15, 2019 - 6:27:56 PM
Last modification on : Friday, January 10, 2020 - 9:10:08 PM

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Jean-François Trégouët, Dimitri Peaucelle, Denis Arzelier, Yoshio Ebihara. Periodic Memory State-Feedback Controller: New Formulation, Analysis, and Design Results. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013, 58 (8), pp.1986-2000. ⟨10.1109/TAC.2013.2251820⟩. ⟨hal-01982649⟩

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