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Global Asymptotic Stabilization Control for a Class of Nonlinear Systems with Dynamic Uncertainties

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  • Jiangbo Yu
  • Jizhong Wang
  • Zhongcai Zhang

Abstract

This paper is concerned with the global asymptotic stabilization control problem for a class of nonlinear systems with input-to-state stable (ISS) dynamic uncertainties and uncertain time-varying control coefficients. Unlike the existing works, the ISS dynamic uncertainty is characterized by the uncertain supply rates. By using the backstepping control approach, a systematic controller design procedure is developed. The designed control law can guarantee that the system states are asymptotically regulated to the origin from any initial conditions and the other signals are bounded in closed-loop systems. Moreover, it is shown that, under some additional conditions, a linear control law can be designed by the proposed methodology. The simulation example demonstrates its effectiveness.

Suggested Citation

  • Jiangbo Yu & Jizhong Wang & Zhongcai Zhang, 2015. "Global Asymptotic Stabilization Control for a Class of Nonlinear Systems with Dynamic Uncertainties," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-12, October.
    • Handle: RePEc:hin:jnlmpe:206162
    DOI: 10.1155/2015/206162
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