Asymptotic Stability of Master-slave Systems Using Sampled-data Controller with Time-delay

In this paper, the synchronization of Chaotic Lur’e systems subject to aperiodic sampling is investigated. It is shown that sampling interval is bounded and nonuniform. A modified free-matrix-based (MFMB) time-dependent Lyapunov functional is developed to capture the information on sampling pattern,...

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Bibliographic Details
Published in:International journal of control, automation, and systems 2019, Automation, and Systems, 17(6), , pp.1473-1482
Main Authors: He, Shenghuang, Wu, Yuanqing, Li, Yanzhou
Format: Article
Language:English
Subjects:
Attenuation
Control
Control charts
Control stability
Control systems
Control systems design
Controllers
D C motors
Delay
Discrete time systems
Electric motors
Engineering
H-infinity control
Linearization
Mechatronics
Regular Papers
Robotics
Robust control
Sampling
Stability analysis
Synchronism
Time dependence
Time synchronization
Uncertainty
제어계측공학
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Summary:In this paper, the synchronization of Chaotic Lur’e systems subject to aperiodic sampling is investigated. It is shown that sampling interval is bounded and nonuniform. A modified free-matrix-based (MFMB) time-dependent Lyapunov functional is developed to capture the information on sampling pattern, which is sufficiently used to analyze stability of Chaotic Lur’e systems. For a special case that the sampled-data controller suffers constant input delay, a discontinuous Lyapunov functional is presented based on the vector extension of Wirtinger’s inequality. The obtained stability condition leads to a less computational complexity than some of existing works. A longer value on the calculation of sampling interval is achieved. Two illustrative examples demonstrate the effectiveness of designed methods and less conservatism of the obtained results.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-018-0264-x