Robust adaptive nonlinear regulation with dynamic uncertainties

Zhong Ping Jiang, David J. Hill

Research output: Contribution to journalConference articlepeer-review


This paper presents a constructive robust adaptive nonlinear control scheme which can be regarded as a robustification of the now popular adaptive backstepping algorithm. The allowed class of uncertainties includes nonlinearly appearing parametric uncertainty, uncertain non-linearities and unmeasured input-to-state stable dynamics. In contrast to [4, 5, 6], the adaptive control laws proposed in this paper do not require any dynamic dominating signal to guarantee Lagrange stability. The numerical example of a simple pendulum with unknown parameters and without velocity measurement illustrates our theoretical results.

Original languageEnglish (US)
Pages (from-to)3016-3021
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 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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