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Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems

Author

Listed:
  • Bei Wu
  • Mou Chen
  • Xiaoming Chen

Abstract

A bounded controller is proposed for a class of uncertain discrete time-delay systems with nonlinearity and disturbance based on state estimator and disturbance observer technique. A state estimator is developed to estimate the unmeasured system state vector. Suppose that the disturbance is generated by an exogenous system; a disturbance observer is designed to estimate the unknown disturbance. The parameters of the state estimator and the disturbance observer are calculated by solving linear matrix inequalities (LMIs). By applying the outputs of the state estimator and the disturbance observer, the sufficient condition for the existence of the bounded controller is derived based on an appropriate Lyapunov function candidate. Under the developed bounded controller, the stability of the closed-loop system can be guaranteed. Simulation examples are provided to show the effectiveness of the proposed bounded control scheme.

Suggested Citation

  • Bei Wu & Mou Chen & Xiaoming Chen, 2015. "Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-16, November.
    • Handle: RePEc:hin:jnddns:135248
    DOI: 10.1155/2015/135248
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    References listed on IDEAS

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    1. T. Senthilkumar & P. Balasubramaniam, 2011. "Delay-dependent robust control for uncertain stochastic T–S fuzzy systems with time-varying state and input delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 877-887.
    2. Qingyun Yang & Mou Chen, 2014. "Robust Control for Uncertain Linear System Subject to Input Saturation," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, June.
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