Brief paper: Delay-dependent stability of reset systems

Authors:
Antonio Barreiro;Alfonso Baños
Affiliations:
E.T.S. Ingenieros Industriales, University of Vigo, 36200 Vigo, Spain;Facultad de Informática, University of Murcia, 30071 Murcia, Spain
Venue:
Automatica (Journal of IFAC)
Year:
2010

Citing 5
Cited 3

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Lyapunov conditions for input-to-state stability of impulsive systems

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Fundamental properties of reset control systems

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Brief Energy-based control for hybrid port-controlled Hamiltonian systems

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Robust exponential stabilization of uncertain impulsive bilinear time-delay systems with saturating actuators

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Brief paper: Stability analysis and design of reset control systems with discrete-time triggering conditions

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Robust stability of reset control systems with uncertain output matrix

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Abstract

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.