Global chaos synchronization of two identical non-autonomous horizontal platform systems coupled by linear state error feedback controller is investigated. The sufficient criteria for global chaos synchronization are deduced based on the stability theory of linear time-varied systems and Lyapunov's
Master–slave synchronization criteria for horizontal platform systems using time delay feedback control
✍ Scribed by Ke Ding; Qing-Long Han
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 919 KB
- Volume
- 330
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
This paper is concerned with master-slave synchronization for two identical nonautonomous horizontal platform systems by using time-delay feedback control. Compared with some existing results on synchronization for horizontal platform systems, the effect of the time delay in the feedback control on master-slave synchronization is investigated. Applying a delay decomposition approach, some delay-dependent synchronization criteria are established and formulated in the form of linear matrix inequalities (LMIs). Sufficient conditions about the existence of a time delay feedback controller are derived by employing these newly obtained synchronization criteria. The controller gains can be achieved by solving a set of LMIs. One simulation example is given to illustrate the effectiveness of synchronization criteria and the design method.
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