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Semiglobal Stabilization via Output-Feedback for a Class of Nontriangular Nonlinear Systems with an Unknown Coefficient

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  • Mengliang Liu
  • Yungang Liu
  • Fengzhong Li

Abstract

This paper is devoted to the semiglobal stabilization via output-feedback for a class of uncertain nonlinear systems. Remark that the systems in question contain an unknown control coefficient which inherently depends on the system output and allow larger-than-two order growing unmeasurable states which is the obstruction of global stabilization via output-feedback. By introducing a recursive reduced-order observer and combining with saturated state estimate, a desired output-feedback controller is explicitly constructed for the systems. Under the appropriate choice of design parameters, the controller can make the closed-loop system semiglobally attractive and locally exponentially stable at the origin. A simulation example is provided to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Mengliang Liu & Yungang Liu & Fengzhong Li, 2015. "Semiglobal Stabilization via Output-Feedback for a Class of Nontriangular Nonlinear Systems with an Unknown Coefficient," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, March.
  • Handle: RePEc:hin:jnlmpe:375765
    DOI: 10.1155/2015/375765
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