Technical communique: α-Dissipativity analysis of singular time-delay systems

Authors:
Zhiguang Feng;James Lam;Huijun Gao
Affiliations:
Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong;Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong;Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, Heilongjiang Province, 150001, China
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 4
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Brief paper: Passivity-based sliding mode control of uncertain singular time-delay systems

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Mixed H∞ and passive filtering for singular systems with time delays

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Dissipativity analysis of singular systems with Markovian jump parameters and mode-dependent mixed time-delays

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Abstract

In this paper, the problem of delay-dependent @a-dissipativity analysis is investigated for continuous-time singular systems with time-delay. Using the delay partitioning technique, sufficient conditions are established in terms of linear matrix inequalities (LMIs), which guarantees a singular system to be admissible and strictly (Q,S,R)-@a-dissipative. In addition to delay dependence, the obtained results are also dependent on the parameter @a. Moreover, the results of H"~ performance analysis and passivity analysis are unified from the dissipative analysis results. The results developed in this paper are less conservative than existing ones in the literature, which are illustrated by several examples.