Nonlinear stabilization via control lyapunov measure

Umesh Vaidya, Prashant G. Mehta, Vinayak V. Shanbhag

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

This paper is concerned with computational methods for Lyapunov-based stabilization of an attractor set of a nonlinear dynamical system. Based upon a stochastic representation of deterministic dynamics, a Lyapunov measure is used for these purposes. The paper poses and solves the co-design problem of jointly obtaining a control Lyapunov measure and a state feedback controller. The computational framework employs set-oriented numerical techniques. Using these techniques, the resulting co-design problem is shown to lead to a finite number of linear inequalities. These inequalities determine the feasible set of the solutions to the co-design problem. A particular solution can be efficiently obtained using methods of linear programming.

Original languageEnglish (US)
Article number5406095
Pages (from-to)1314-1328
Number of pages15
JournalIEEE Transactions on Automatic Control
Volume55
Issue number6
DOIs
StatePublished - Jun 1 2010

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Stabilization
Nonlinear dynamical systems
Computational methods
State feedback
Linear programming
Controllers

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Vaidya, Umesh ; Mehta, Prashant G. ; Shanbhag, Vinayak V. / Nonlinear stabilization via control lyapunov measure. In: IEEE Transactions on Automatic Control. 2010 ; Vol. 55, No. 6. pp. 1314-1328.
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Nonlinear stabilization via control lyapunov measure. / Vaidya, Umesh; Mehta, Prashant G.; Shanbhag, Vinayak V.

In: IEEE Transactions on Automatic Control, Vol. 55, No. 6, 5406095, 01.06.2010, p. 1314-1328.

Research output: Contribution to journalArticle

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