Adaptive approach to Lyapunov design in nonlinear optimal stabilization problems

Randy A. Freeman*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations

Abstract

A time-varying/dynamic compensation strategy for nonlinear systems is proposed which adaptively selects one controller from a parameterized family of Lyapunov-based stabilizing controllers. The purpose of the adaptation is to reduce the value of a given cost functional, but stability is guaranteed regardless of whether or not errors in computing the parameter update preclude such cost reduction. A simulation study illustrates the potential of this adaptive scheme.

Original languageEnglish (US)
Pages (from-to)2339-2344
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume3
StatePublished - Dec 1 1997
EventProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
Duration: Dec 10 1997Dec 12 1997

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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