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Zbl 1214.93072
Barreiro, Antonio; Baños, Alfonso
Delay-dependent stability of reset systems. (English)
[J] Automatica 46, No. 1, 216-221 (2010). ISSN 0005-1098

Summary: This work presents results on the stability of time-delay systems under reset control. The case of delay-dependent stability is addressed, by developing a generalization of previous stability results for reset systems without delay, and also a generalization of the delay-independent case. The stability results are derived by using appropriate Lyapunov-Krasovskii functionals, obtaining LMI (Linear Matrix Inequality) conditions and showing connections with passivity and positive realness. The stability conditions guarantee that the reset action does not destabilize the base LTI (Linear Time Invariant) system. Several interpretations are given for these conditions in terms of impulsive control, which provide insights into the potentials of reset control.

MSC 2000:: *93D05 Lyapunov and other classical stabilities of control systems
93C30 Control systems governed by other functional relations
93B35 Sensitivity (robustness) of control systems

Keywords: reset control; hybrid systems; time-delay systems; passivity; Lyapunov-Krasovskii functionals

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