Global Stability of a Direct Adaptive Control Scheme With Respect to a Graph Topology

L. Praly
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L. Praly: CAI Ecole des Mines

A chapter in Adaptive and Learning Systems, 1986, pp 57-72 from Springer

Abstract: Abstract We study the stability given by a modified model reference adaptive controller. Modifications are projections of the adapted parameters into a convex compact set and normalization of the signals entering the adaptation law by a weighted l 2-norm of the I/O signals. The plant is assumed to satisfy properties which are proved to be robust with respect to a graph topology based on μ-exponential stability. Global stability is established and the mean square tracking error is shown to converge to zero linearly with the unmodeled effects.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-1895-9_4

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DOI: 10.1007/978-1-4757-1895-9_4

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