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Comprehensive admissibility for descriptor systems

Yu Feng Mohamed Yagoubi 1, 2
1 Commande
IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
Abstract : This paper presents a complete solution to the problem of comprehensive admissibility for descriptor systems with unstable and nonproper weights. In such non-standard circumstances, it is hard to render the closed-loop system admissible due to the uncontrollable and unobservable weights. The necessary and sufficient condition is given and a specifically structured output feedback controller is conducted in terms of the dynamics of the weighs. It is shown that determining suitable controllers for a given descriptor system with the presence of unstable and nonproper weights requires solving an admissibility problem for an augmented system explicitly constructed in this paper. A numerical example is included to illustrate the current result.
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https://hal-mines-nantes.archives-ouvertes.fr/hal-01310974
Contributor : Mohamed Yagoubi <>
Submitted on : Tuesday, May 3, 2016 - 2:44:07 PM
Last modification on : Monday, January 13, 2020 - 4:01:27 PM

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Yu Feng, Mohamed Yagoubi. Comprehensive admissibility for descriptor systems. Automatica, Elsevier, 2016, 66, pp.271-275. ⟨10.1016/j.automatica.2016.01.028⟩. ⟨hal-01310974⟩

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