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Content Provider | IEEE Xplore Digital Library |
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Author | Dai, D. Sanfelice, R.G. Tingshu Hu Teel, A.R. |
Copyright Year | 2008 |
Description | Author affiliation: Dept. of Electr. & Comput. Eng., Univ. of Massachusetts, Lowell, MA, USA (Tingshu Hu) || Dept. of Electr. & Comput. Eng., Univ. of California, Santa Barbara, CA, USA (Dai, D.; Teel, A.R.) || Lab. for Inf. & Decision Syst., Massachusetts Inst. of Technol., MA, USA (Sanfelice, R.G.) |
Abstract | This paper studies a class of hybrid systems with linear (or linear plus saturated linear) continuous and discrete dynamics, which are determined by a flow map and jump map, and state-triggered jumps. One motivation for considering this class of systems is that they can model control systems with a relay-type hysteresis element. Based on Lyapunov theorems for hybrid systems, a Lyapunov function is constructed that effectively incorporates the feature of the jumps. Global asymptotic stability analysis is presented for the case when the flow map is linear, and local asymptotic stability analysis is presented for the case when the flow map is linear plus saturated linear. The stability conditions are derived as matrix inequalities. A numerical example is presented to illustrate the hybrid modeling process for a system experiencing hysteresis. Simulations confirm the effectiveness of the proposed analysis tools and demonstrate the potential of the Lyapunov function. |
Starting Page | 2764 |
Ending Page | 2769 |
File Size | 239600 |
Page Count | 6 |
File Format | |
ISBN | 9781424431236 |
ISSN | 01912216 |
DOI | 10.1109/CDC.2008.4739453 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2008-12-09 |
Publisher Place | Mexico |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Relays Hysteresis Lyapunov method Asymptotic stability Control systems Linear matrix inequalities Systems engineering and theory Control system synthesis Analytical models Proportional control matrix inequalities Hybrid systems saturation relay-type hysteresis Lyapunov analysis |
Content Type | Text |
Resource Type | Article |
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