Abstract
Control Lyapunov Functions (CLF) method gives a constructive tool for stabilization of nonlinear systems. To find a CLF, many methods have been proposed in the literature, e.g. backstepping for cascaded systems and sum of squares (SOS) programming for polynomial systems. Dealing with continuous-time systems, the CLF-based controller is also continuous-time, whereas practical implementation on a digital platform requires sampled-time control. In this paper, we show that if the continuous-time controller provides exponential stabilization, then an exponentially stabilizing event-triggered control strategy exists with the convergence rate arbitrarily close to the rate of the continuous-time system.
Original language | English |
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Title of host publication | Proceedings of the 21st International Conference on Hybrid Systems (HSCC 2018) |
Subtitle of host publication | Computation and Control (part of CPS Week) |
Place of Publication | New York, NY, USA |
Publisher | Association for Computing Machinery (ACM) |
Pages | 111-119 |
ISBN (Electronic) | 978-1-4503-5642-8 |
DOIs | |
Publication status | Published - 2018 |
Event | 21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018 - Porto, Portugal Duration: 11 Apr 2018 → 13 Apr 2018 |
Conference
Conference | 21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018 |
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Country/Territory | Portugal |
City | Porto |
Period | 11/04/18 → 13/04/18 |
Bibliographical note
Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-careOtherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.
Keywords
- Control Lyapunov Function
- Event-triggered control
- Stability