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Lyapunov‐based backward‐horizon adaptive stabilization
Authors:Ravinder Venugopal  Venkatesh G Rao  Dennis S Bernstein
Abstract:In this paper we develop a discrete‐time adaptive stabilization algorithm based on a one‐step backward‐horizon cost criterion. By optimizing the cost with respect to the update step size, we obtain a gain update law that guarantees convergence of the plant states. The convergence proof is based on a modified Lyapunov technique. We extend the algorithm to include integral control for rejecting constant disturbances and we present an experimental application to DC motor positioning system. Copyright © 2003 John Wiley & Sons, Ltd.
Keywords:Discrete time  Adaptive control  Lyapunov methods
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