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Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems

IEEE Transactions on Automatic Control · 1981 · Vol. 26(5) · pp. 1139–1144

M. Corless✉(University of California, Berkeley)G. Leitmann(University of California, Berkeley)

Abstract

We consider a dynamic system containing uncertain elements. Only the set of possible values of these uncertainties is known. Based on this information a class of state feedback controls is proposed in order to guarantee uniform ultimate boundedness of every system response within an arbitrarily small neighborhood of the zero state. These feedback controls are continuous functions of the state.

Adaptive Control of Nonlinear Systems Stability and Control of Uncertain Systems Advanced Control Systems OptimizationControl theory (sociology)State (computer science)Set (abstract data type)Class (philosophy)MathematicsUniform boundednessOrder (exchange)Computer scienceFeedback controlControl (management)

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