Robust stability and stabilization of discrete singular systems with interval time-varying delay and linear fractional uncertainty

Autor:	Jian-Min Jiao
Rok vydání:	2012
Předmět:	Control and Systems Engineering Control theory Applied Mathematics Modeling and Simulation Linear matrix inequality Interval (mathematics) Singular systems Stability (probability) Computer Science Applications Mathematics
Zdroj:	International Journal of Automation and Computing. 9:8-15
ISSN:	1751-8520 1476-8186
DOI:	10.1007/s11633-012-0610-z
Popis:	The robust stability and robust stabilization problems for discrete singular systems with interval time-varying delay and linear fractional uncertainty are discussed. A new delay-dependent criterion is established for the nominal discrete singular delay systems to be regular, causal and stable by employing the linear matrix inequality (LMI) approach. It is shown that the newly proposed criterion can provide less conservative results than some existing ones. Then, with this criterion, the problems of robust stability and robust stabilization for uncertain discrete singular delay systems are solved, and the delay-dependent LMI conditions are obtained. Finally, numerical examples are given to illustrate the effectiveness of the proposed approach.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::19e6dc3b2d0a4998ca2398beea1876b9 https://doi.org/10.1007/s11633-012-0610-z Zobrazit plný text záznamu Full text from SpringerLink