Nonlinear averaging theorems, and the determination of parameter convergence rates in adaptive control

DOI10.1016/0167-6911(86)90108-8zbMath0612.93038OpenAlexW2050978482MaRDI QIDQ1088626

Brian D. O. Anderson, Marc Bodson, Bitmead, Robert R., Mareels, Iven M. Y., Shankar S. Sastry

Publication date: 1986

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(86)90108-8

zbMATH Keywords

model reference adaptive controlaveraged systemparameter convergence rates

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Adaptive control/observation systems (93C40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Averaging method for ordinary differential equations (34C29) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Slow-drift instability in model reference adaptive systems —an averaging analysis ⋮ Analysis for a class of singularly perturbed hybrid systems via averaging ⋮ Deterministic adaptive control with slowly varying parameters: an averaging analysis ⋮ Optimal compensation of nonlinearities in the presence of noise ⋮ Pseudo-burst phenomenon in ideal adaptive systems ⋮ Topological orbital equivalence with asymptotic phase for a two time- scales discrete-time system

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
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• A stability-instability boundary for disturbance-free slow adaptation with unmodeled dynamics
• Stability of slow adaptation for non-SPR systems with disturbances
• Stable adaptive controller design--Direct control

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