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Robust Hinf performance of periodic systems with memory: New formulations, analysis and design results

Abstract : This paper is devoted to H ∞ analysis and synthesis conditions of state-feedback periodic memory controllers, in the framework of periodic uncertain discrete-time systems. The proposed conditions are such that the user is allowed to freely add degrees-of-freedom to the control law which effectively reduces the conservatism of the synthesis condition and decreases the guaranteed H ∞ induced norm of the obtained uncertain closed-loop systems. Numerical examples show that for a particular structure of controllers the efficiency of the design theorem can be significantly enhanced by relaxing the structure of slack-variables.
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https://hal.archives-ouvertes.fr/hal-01982653
Contributor : Jean-François Trégouët <>
Submitted on : Tuesday, January 15, 2019 - 6:31:31 PM
Last modification on : Friday, January 10, 2020 - 9:10:08 PM

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Jean-François Trégouët, Denis Arzelier, Dimitri Peaucelle, Yoshio Ebihara, Christelle Pittet, et al.. Robust Hinf performance of periodic systems with memory: New formulations, analysis and design results. 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), Dec 2012, Maui, HI, United States. ⟨10.1109/CDC.2012.6426806⟩. ⟨hal-01982653⟩

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