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Robust Control for Uncertain Linear System Subject to Input Saturation

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  • Qingyun Yang
  • Mou Chen

Abstract

A robust control scheme using composite nonlinear feedback (CNF) technology is proposed to improve tracking control performance for the uncertain linear system with input saturation and unknown external disturbances. A disturbance observer is presented to estimate the unknown disturbance generated by a linear exogenous system. The designed gain matrix of the disturbance observer is determined by solving linear matrix inequalities (LMIs). Based on the output of the designed disturbance observer, a robust CNF controller including a linear feedback control item and a nonlinear item is developed to follow the desired tracking signals. The linear feedback controller is designed using LMIs and the stability of the closed-loop system is proved via rigorous Lyapunov analysis. Finally, the extensive simulation results are presented to illustrate the effectiveness of the proposed control scheme.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnljam:803842
    DOI: 10.1155/2014/803842
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    Cited by:

    1. 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.

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