Stability Properties of Reset Systems
| Authors: | Zaccarian Luca, Univ. of Rome, Tor Vergata, Italy
Nesic Dragan, Univ. of Melbourne, Australia
Teel Andrew R., Univ. of California, Santa Barbara, United States |
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| Topic: | 2.3 Non-Linear Control Systems |
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| Session: | Nonlinear Stability II |
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| Keywords: | Hybrid systems, Lyapunov, nonlinear, stability. |
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Abstract
Stability properties for a class of reset systems, such as systems containing a Clegg integrator, are investigated. We present Lyapunov based results for verifying L2 and exponential stability of reset systems. Our results generalize the available results in the literature and can be easily modi ed to cover Lp stability for arbitrary p in [1,infnity]. Several examples illustrate that introducing resets in a linear system may reduce the L2 gain if the reset controller parameters are carefully tuned.
