Bifurcation in model reference adaptive control systems

DOI10.1016/0167-6911(88)90101-6zbMath0672.93049OpenAlexW1995650502MaRDI QIDQ1120529

B. Erik Ydstie, Melinda P. Golden

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0167-6911(88)90101-6

zbMATH Keywords

stability boundariesunmodeled dynamicsHopf bifurcationschaotic behaviorglobal instabilityPID control designsimple model reference adaptive control mechanismZiegler-Nichols approach

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability of control systems (93D99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (10)

Drift instabilities and chaos in forecasting and adaptive decision theory ⋮ An overview of bifurcation, chaos and nonlinear dynamics in control systems ⋮ A COMPUTER-ASSISTED STUDY OF GLOBAL DYNAMIC TRANSITIONS FOR A NONINVERTIBLE SYSTEM ⋮ Stability of discrete model reference adaptive control - revisited ⋮ Small amplitude chaos and ergodicity in adaptive control ⋮ LOCAL FEEDBACK CONTROL OF THE NEIMARK–SACKER BIFURCATION ⋮ STUDY OF DEGENERATE BIFURCATIONS IN MAPS: A FEEDBACK SYSTEMS APPROACH ⋮ BIFURCATION CONTROL: THEORIES, METHODS, AND APPLICATIONS ⋮ Global control with application to bifurcating power systems ⋮ Noninvertibility and the structure of basins of attraction in a model adaptive control system

Cites Work

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• Theory and applications of selftuning regulators
• Nonlinear dynamics in adaptive control: Chaotic and periodic stabilization
• On self tuning regulators
• A robust indirect adaptive-control approach
• Discrete-time multivariable adaptive control

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