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Exponential Admissibility and Dynamic Output Feedback Control of Switched Singular Systems with Interval Time‐Varying Delay
Author(s) -
Jinxing Lin,
Chunxia Fan
Publication year - 2010
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2010/680382
Subject(s) - control theory (sociology) , dwell time , mathematics , impulse (physics) , interval (graph theory) , controller (irrigation) , exponential function , output feedback , exponential stability , linear matrix inequality , control (management) , computer science , mathematical optimization , nonlinear system , mathematical analysis , medicine , clinical psychology , physics , quantum mechanics , combinatorics , artificial intelligence , agronomy , biology
This paper is concerned with the problems of exponential admissibility and dynamic output feedback (DOF) control for a class of continuous-time switched singular systems with interval time-varying delay. A full-order, dynamic, synchronously switched DOF controller is considered. First, by using the average dwell time approach, a delay-range-dependent exponential admissibility criterion for the unforced switched singular time-delay system is established in terms of linear matrix inequalities (LMIs). Then, based on this criterion, a sufficient condition on the existence of a desired DOF controller, which guarantees that the closed-loop system is regular, impulse free and exponentially stable, is proposed by employing the LMI technique. Finally, some illustrative examples are given to show the effectiveness of the proposed approach

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