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Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems

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  • Leipo Liu
  • Xiaona Song
  • Zhumu Fu
  • Shuzhong Song

Abstract

This paper is concerned with disturbance observer-based input-output finite-time control of a class of nonlinear systems with one-sided Lipschitz condition, as well as multiple disturbances. Firstly, a disturbance observer is constructed to estimate the disturbance generated by an exogenous system. Secondly, by integrating the estimation of disturbance with a classical state feedback control law, a composite control law is designed and sufficient conditions for input-output finite-time stability (IO-FTS) of the closed-loop system are attained. Such conditions can be converted into linear matrix inequalities (LMIs). Finally, two examples are given to show the effectiveness of the proposed method.

Suggested Citation

  • Leipo Liu & Xiaona Song & Zhumu Fu & Shuzhong Song, 2017. "Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-7, September.
    • Handle: RePEc:hin:jnlmpe:7202584
    DOI: 10.1155/2017/7202584
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