Abstract
Although discontinuous, non-smooth or switched dynamical systems have been broadly studied, there still exist dynamical behaviours which are not completely understood. In particular, those related to transitions between state-space regions and to crossings through discontinuity surfaces. The problem of specifying system transitions becomes crucial when multiple discontinuity surfaces or switching elements are present. In this case, a great deal of care has to be taken in order to simulate the system and to verify its properties. Obtaining a computational model appears to be an elegant way for the specification of the transitions and event-triggered phenomena involved in the dynamical behaviour of discontinuous systems. This is the goal of this paper. A class of discontinuous dynamical systems including control inputs and outputs is reinterpreted within the hybrid-automata framework, and what is referred as to discontinuous-dynamical-systemhybrid automaton is proposed.An example is used, which corresponds to a 2-degrees-of-freedom electromechanical system including discontinuous friction and sliding-mode control. This system exhibits several discontinuity surfaces which give rise to different types of transitions and dynamical behaviours. New computational-kind phenomena may arise when the system is reinterpreted as a hybrid dynamical system. Nevertheless, this paper only deals with the modelling and specification of the system.
Original language | English |
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Title of host publication | IFAC Proceedings Volumes (IFAC-PapersOnline)|IFAC Proc. Vol. (IFAC-PapersOnline) |
Publisher | International Federation of Automatic Control (IFAC) |
Pages | 87-92 |
Number of pages | 5 |
Volume | 2 |
ISBN (Print) | 9783902661654 |
Publication status | Published - 2009 |
Event | 2nd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS09 - London Duration: 1 Jul 2009 → … |
Conference
Conference | 2nd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS09 |
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City | London |
Period | 1/07/09 → … |
Keywords
- Abstraction-based approach
- Computational models
- Discontinuous systems
- Friction
- Hybrid automata
- Hybrid systems
- Sliding motions
- Switching control