Linear System Theory and Design
Linear System Theory and Design
Logic-based switching algorithms in control
Logic-based switching algorithms in control
Stability and L2-gain analysis for switched delay systems: A delay-dependent method
Automatica (Journal of IFAC)
Stability analysis and stabilization control of multi-variable switched stochastic systems
Automatica (Journal of IFAC)
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Using average dwell time approach, this paper investigates the observer-based L2 gain control problem of switched linear systems with time-delay in detection of switching signal. The feedback mechanism considered is off-line type. First, estimates on the generalized matrix norm and the state transition matrix are established, respectively (Lemmas 2-3 in Section 2). Then, based on these estimations, under the assumption that each subsystem is controllable and observable, we prove that there exists an observer-based switched state feedback controller such that the corresponding closed-loop switched system has an L2 gain less than γ for any switching signal with average dwell time greater than a given constant. Finally, an example is given to illustrate our results.