Adaptive boundary control for unstable parabolic PDEs. II: Estimation-based designs
From MaRDI portal
Publication:2466912
DOI10.1016/j.automatica.2007.02.014zbMath1128.93029OpenAlexW2126235488WikidataQ59621878 ScholiaQ59621878MaRDI QIDQ2466912
Andrey Smyshlyaev, Krstić, Miroslav
Publication date: 16 January 2008
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2007.02.014
Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for higher-order parabolic equations (35K35) Adaptive control/observation systems (93C40)
Related Items
Boundary stabilization and observation of a weak unstable heat equation in a general multi-dimensional domain, Adaptive stabilization for an uncertain reaction-diffusion equation with dynamic boundary condition at control end, Parameter estimation and stabilization for a wave equation with boundary output harmonic disturbance and non-collocated control, Analysis of Linear Partial Differential Equations Using Convex Optimization, Adaptive boundary observer for parabolic PDEs subject to domain and boundary parameter uncertainties, Adaptive stabilisation via passive identifier for an ODE system cascaded by coupled parabolic equations with serious uncertainties, Boundary output feedback of second-order distributed parameter systems, Backstepping approach to the adaptive regulator design for a one-dimensional wave equation with general input harmonic disturbance, A tracking problem for the state of charge in an electrochemical Li-ion battery model, Adaptive observer design for wave PDEs with nonlinear dynamics and parameter uncertainty, Adaptive output-feedback stabilization of linear \(2 \times 2\) hyperbolic systems using anti-collocated sensing and control, Time-varying IBLFs-based adaptive control of uncertain nonlinear systems with full state constraints, Stabilization for the multi-dimensional heat equation with disturbance on the controller, Adaptive rejection of harmonic disturbance anticollocated with control in 1D wave equation, Recovering the initial state of an infinite-dimensional system using observers, New unknown input observer and output feedback stabilization for uncertain heat equation, Boundary stabilization for time-space fractional diffusion equation, Stabilization of an axially moving Euler Bernoulli beam by an adaptive boundary control, Stabilization of chains of linear parabolic PDE-ODE cascades, Adaptive Output Feedback Stabilization of $n + m$ Coupled Linear Hyperbolic PDEs with Uncertain Boundary Conditions, Adaptive boundary stabilization of a nonlinear axially moving string, Spatiotemporal adaptive state feedback control of a linear parabolic partial differential equation, Adaptive stabilization based on passive and swapping identifiers for a class of uncertain linearized Ginzburg–Landau equations, Output-feedback adaptive control of a wave PDE with boundary anti-damping, Marcum \(Q\)-functions and explicit kernels for stabilization of \(2 \times 2\) linear hyperbolic systems with constant coefficients, Adaptive boundary control of constant-parameter reaction-diffusion PDEs using regulation-triggered finite-time identification, Input constrained adaptive tracking for a nonlinear distributed parameter tubular reactor, Adaptive boundary control for unstable parabolic PDEs. III: Output feedback examples with swapping identifiers, Adaptive stabilization of \(n + 1\) coupled linear hyperbolic systems with uncertain boundary parameters using boundary sensing, Adaptive control of linear \(2 \times 2\) hyperbolic systems, Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control, Stabilization and regulator design for a one‐dimensional unstable wave equation with input harmonic disturbance, Dynamic feedback stabilization of an unstable wave equation, Adaptive stabilization for a reaction-diffusion equation with uncertain nonlinear actuator dynamics, Disturbance rejection in a class of adaptive control laws for distributed parameter systems, Adaptive techniques for the MRAC, adaptive parameter identification, and on‐line fault monitoring and accommodation for a class of positive real infinite dimensional systems, Stabilization of an abstract second order system with application to wave equations under non-collocated control and observations, Adaptive stabilization of LTI systems with distributed input delay
Cites Work
- Unnamed Item
- Robust adaptive control in Hilbert space
- Infinite-dimensional dynamical systems in mechanics and physics
- Adaptive nonlinear control without overparametrization
- Adaptive boundary control for unstable parabolic PDEs. III: Output feedback examples with swapping identifiers
- Backstepping observers for a class of parabolic PDEs
- Adaptive regulator design of a viscous Burgers' system by boundary control
- Reduced spatial order model reference adaptive control of spatially varying distributed parameter systems of parabolic and hyperbolic types
- Adaptive control of Burgers' equation with unknown viscosity
- Robust adaptive LQ control schemes
- Adaptive Boundary and Point Control of Linear Stochastic Distributed Parameter Systems
- Direct adaptive control of parabolic systems: algorithm synthesis and convergence and stability analysis
- Adaptive control of infinite-dimensional systems without parameter estimation: an overview
- Model Reference Adaptive Control of Distributed Parameter Systems
- Adaptive distributed parameter systems identification with enforceable identifiability conditions and reduced-order spatial differentiation
- Adaptive stabilization of the Kuramoto-Sivashinsky equation
- Adaptive Boundary Control for Unstable Parabolic PDEs—Part I: Lyapunov Design
- Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
- Lyapunov-based distributed control of systems on lattices