Control Lyapunov functions for adaptive nonlinear stabilization

DOI10.1016/0167-6911(94)00107-7zbMath0877.93119OpenAlexW2063490625WikidataQ59622153 ScholiaQ59622153MaRDI QIDQ672585

Krstić, Miroslav, Petar V. Kokotovic

Publication date: 28 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-6911(94)00107-7

zbMATH Keywords

Nonlinear controlAdaptive stabilizationBacksteppingAdaptive control Lyapunov functions

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Adaptive or robust stabilization (93D21)

Related Items (13)

Optimal design of adaptive tracking controllers for nonlinear systems ⋮ Modular approach to adaptive nonlinear stabilization ⋮ Quantized feedback control design of nonlinear large-scale systems via decentralized adaptive integral sliding mode control ⋮ Adaptive control Lyapunov function based model predictive control for continuous nonlinear systems ⋮ Adaptive tracking control for switched stochastic nonlinear systems with unknown actuator dead-zone ⋮ Global asymptotic stability of nonlinear strict feedback system via backstepping control approach ⋮ A hierarchical structure of observer-based adaptive fuzzy-neural controller for MIMO systems ⋮ Dynamic feedback backstepping control for a class of MIMO nonaffine block nonlinear systems ⋮ Mittag-Leffler stabilization of fractional-order nonlinear systems with unknown control coefficients ⋮ Feedback stabilization and adaptive stabilization of stochastic nonlinear systems by the control Lyapunov function ⋮ Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints ⋮ A control Lyapunov function approach to stabilization of affine nonlinear systems with bounded uncertain parameters ⋮ Quantized output feedback stabilization of uncertain systems with input nonlinearities via sliding mode control

Cites Work

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• An extended direct scheme for robust adaptive nonlinear control
• Adaptive nonlinear control without overparametrization
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• Stabilization with relaxed controls
• Adaptive regulation of nonlinear systems with unmodeled dynamics
• Systematic design of adaptive controllers for feedback linearizable systems
• Adaptive regulation: Lyapunov design with a growth condition

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