On Stabilization with a Prescribed Region of Asymptotic Stability

Abstract

An important unsolved problem in nonlinear control is that of stabilization with a prescribed region of stability. In this paper, sufficient conditions are obtained for the existence of a linear feedback stabilizing an equilibrium point of a given nonlinear system with the resulting region of asymptotic stability (RAS) containing a ball of given radius. Conditions for global stabilization are also given. Feedback stabilization is achieved while satisfying a certain robustness property. The technique is applied to planar systems, resulting in a complete design methodology for this case. Examples and simulations illustrating the method are presented.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1988
Accession Number
ADA454728

Entities

People

  • Andre L. Tits
  • Eyad H. Abed
  • Lahcen Saydy

Organizations

  • University of Maryland

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Fields of Study

  • Mathematics

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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
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