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

• Published in: International journal of control, automation, and systems Vol. 17; no. 6; pp. 1473 - 1482
• Main Authors: He, Shenghuang, Wu, Yuanqing, Li, Yanzhou
• Format: Journal Article
• Language: English
• Published: Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.06.2019; Springer Nature B.V; 제어·로봇·시스템학회
• 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; Time dependence; Time synchronization; Uncertainty; 제어계측공학; synchronization; Asymptotical stability; sampled-data control; chaotic Lur’e systems
• ISSN: 1598-6446; 2005-4092
• DOI: 10.1007/s12555-018-0264-x

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.