Achieving nonvanishing stability regions with high-gain cheap control using H techniques: The second order case

Gregory J. Toussaint, Tamer Basar

Research output: Contribution to journalConference articlepeer-review


We use asymptotically optimal H design techniques to develop a high-gain linear feedback controller to stabilize a class of nonlinear systems. We determine conditions on the design parameters to guarantee that the high-gain control does not cause the stability region to vanish. Our approach uses a Lyapunov function to derive a sufficient condition to maintain the stability region for a second-order system when we know a bound on the nonlinear terms. A simulation confirms the results.

Original languageEnglish (US)
Pages (from-to)1279-1283
Number of pages5
JournalProceedings of the American Control Conference
StatePublished - 1999
EventProceedings of the 1999 American Control Conference (99ACC) - San Diego, CA, USA
Duration: Jun 2 1999Jun 4 1999

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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