Adaptive control of the ODE systems with uncertain diffusion-dominated actuator dynamics

DOI10.1080/00207179.2012.668715zbMath1282.93220OpenAlexW2043662854MaRDI QIDQ5745588

Jian Li, Yungang Liu

Publication date: 30 January 2014

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2012.668715

zbMATH Keywords

diffusion equationinfinite-dimensional backstepping transformationactuator dynamicsadaptive stabilisation

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Adaptive or robust stabilization (93D21) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

Adaptive stabilization for ODE systems coupled with parabolic PDEs ⋮ Adaptive stabilization for ODE systems via boundary measurement of uncertain diffusion-dominated actuator dynamics ⋮ Adaptive output-feedback stabilization for PDE-ODE cascaded systems with unknown control coefficient and spatially varying parameter ⋮ Stabilization of coupled PDE-ODE systems with spatially varying coefficient ⋮ Boundary stabilization of a cascade of ODE-wave systems subject to boundary control matched disturbance ⋮ Adaptive stabilisation for a class of uncertain coupled parabolic equations ⋮ Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems ⋮ Adaptive stabilisation of ODE systems via distributed effect of uncertain diffusion-dominated actuator dynamics ⋮ Boundary feedback stabilisation of a flexible robotic manipulator with constraint ⋮ Adaptive stabilisation for uncertain coupled PDE–ODE systems

Cites Work

• Control of PDE-ODE cascades with Neumann interconnections
• Compensating actuator and sensor dynamics governed by diffusion PDEs
• Adaptive trajectory tracking despite unknown input delay and plant parameters
• Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
• Tracking control of rigid-link electrically – driven robot manipulators
• Robust H/sub ∞/ control of uncertain Markovian jump systems with time-delay
• Adaptive Boundary Control for Unstable Parabolic PDEs—Part I: Lyapunov Design
• On Compensating Long Actuator Delays in Nonlinear Control
• Applied Numerical Methods Using MATLAB®

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