L2 Gain Analysis of Switched Systems with Average Dwell Time
نویسندگان
چکیده
منابع مشابه
Stability, l2 -Gain and Asynchronous H∞ Control of Discrete-Time Switched Systems With Average Dwell Time
This paper first investigates the stability and -gain problems for a class of discrete-time switched systems with average dwell time (ADT) switching by allowing the Lyapunov-like functions to increase during the running time of subsystems. The obtained results then facilitate the studies on the issue of asynchronous control, where “asynchronous” means the switching of the controllers has a lag ...
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This paper addresses the L2-gain analysis and control synthesis problem for a class of switched nonlinear systems affected by both time-varying uncertainties and external disturbances. Firstly, the L2-gain for the autonomous switched disturbed uncertain system is analyzed. Then, a switched state feedback control law is designed and the L2 -gain is analyzed for the disturbed uncertain non-autono...
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This paper is concerned with the problem of stabilization and L2-gain analysis for a class of switched nonlinear systems with norm-bounded time-varying uncertainties. A system in this class is composed of two parts: a uncertain linear switched part and a nonlinear part, which are also switched systems. When all the subsystem are stabilizable and have a L2-gain, the switched feedback control law...
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It is shown that switching among stable linear systems results in a stable system provided that switching is “slow-on-the-average.” In particular, it is proved that exponential stability is achieved when the number of switches in any finite interval grows linearly with the length of the interval, and the growth rate is sufficiently small. Moreover, the exponential stability is uniform over all ...
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The stability properties of linear switched systems consisting of both Hurwitz stable and unstable subsystems are investigated by using piecewise Lyapunov functions incorporated with an average dwell time approach. It is shown that if the average dwell time is chosen sufficiently large and the total activation time ratio between Hurwitz stable and unstable subsystems is not smaller than a speci...
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ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 2000
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.36.937