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Reliable gain-scheduled control of discrete-time systems and its application to CSTR model

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Listed:
  • R. Sakthivel
  • S. Selvi
  • K. Mathiyalagan
  • Y. Shi

Abstract

This paper is focused on reliable gain-scheduled controller design for a class of discrete-time systems with randomly occurring nonlinearities and actuator fault. Further, the nonlinearity in the system model is assumed to occur randomly according to a Bernoulli distribution with measurable time-varying probability in real time. The main purpose of this paper is to design a gain-scheduled controller by implementing a probability-dependent Lyapunov function and linear matrix inequality (LMI) approach such that the closed-loop discrete-time system is stochastically stable for all admissible randomly occurring nonlinearities. The existence conditions for the reliable controller is formulated in terms of LMI constraints. Finally, the proposed reliable gain-scheduled control scheme is applied on continuously stirred tank reactor model to demonstrate the effectiveness and applicability of the proposed design technique.

Suggested Citation

  • R. Sakthivel & S. Selvi & K. Mathiyalagan & Y. Shi, 2016. "Reliable gain-scheduled control of discrete-time systems and its application to CSTR model," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3447-3454, October.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3447-3454
    DOI: 10.1080/00207721.2015.1084395
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    References listed on IDEAS

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    1. Zhifeng Gao & Bin Jiang & Ruiyun Qi & Yufei Xu, 2011. "Robust reliable control for a near space vehicle with parametric uncertainties and actuator faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(12), pages 2113-2124.
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