Passivity analysis and synthesis for uncertain time-delay systems

Magdi S. Mahmoud and Lihua Xie

Mathematical Problems in Engineering, 2001, vol. 7, 1-30

Abstract:

In this paper, we investigate the robust passivity analysis and synthesis problems for a class of uncertain time-delay systems. This class of systems arises in the modelling effort of studying water quality constituents in fresh stream. For the analysis problem, we derive a sufficient condition for which the uncertain time-delay system is robustly stable and strictly passive for all admissible uncertainties. The condition is given in terms of a linear matrix inequality. Both the delay-independent and delay-dependent cases are considered. For the synthesis problem, we propose an observer-based design method which guarantees that the closed-loop uncertain time-delay system is stable and strictly passive for all admissible uncertainties. Several examples are worked out to illustrate the developed theory.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:419527

DOI: 10.1155/S1024123X01001739

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