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

Jean Francois Tregouet; Denis Arzelier; Dimitri Peaucelle; Yoshio Ebihara; Christelle Pittet; Alexandre Falcoz

doi:10.1109/CDC.2012.6426806

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

Jean Francois Tregouet, Denis Arzelier, Dimitri Peaucelle, Yoshio Ebihara, Christelle Pittet, Alexandre Falcoz

Research output: Contribution to journal › Conference article › peer-review

4 Citations (Scopus)

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.

Original language	English
Article number	6426806
Pages (from-to)	7781-7786
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6426806
Publication status	Published - 2012
Externally published	Yes
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: Dec 10 2012 → Dec 13 2012

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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10.1109/CDC.2012.6426806

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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.",

author = "Tregouet, {Jean Francois} and Denis Arzelier and Dimitri Peaucelle and Yoshio Ebihara and Christelle Pittet and Alexandre Falcoz",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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AU - Tregouet, Jean Francois

AU - Arzelier, Denis

AU - Peaucelle, Dimitri

AU - Ebihara, Yoshio

AU - Pittet, Christelle

AU - Falcoz, Alexandre

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - 6426806

Y2 - 10 December 2012 through 13 December 2012

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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