Boundary Control of PDEs
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Publication:3504003
DOI10.1137/1.9780898718607zbMath1149.93004OpenAlexW2499641798MaRDI QIDQ3504003
Krstić, Miroslav, Andrey Smyshlyaev
Publication date: 11 June 2008
Full work available at URL: https://doi.org/10.1137/1.9780898718607
Control, switches and devices (``smart materials) in solid mechanics (74M05) Adaptive control/observation systems (93C40) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Flow control and optimization for incompressible viscous fluids (76D55) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
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of large net structures ⋮ Backstepping-based adaptive error feedback regulator design for one-dimensional reaction-diffusion equation ⋮ Small-time global stabilization of the viscous Burgers equation with three scalar controls ⋮ Adaptive output-feedback control of torsional vibration in off-shore rotary oil drilling systems ⋮ Arctic sea ice state estimation from thermodynamic PDE model ⋮ Explicit control law of a coupled reaction-diffusion process ⋮ Boundary exponential stabilization of non-classical micro/nano beams subjected to nonlinear distributed forces ⋮ Pointwise exponential stabilization of a linear parabolic PDE system using non-collocated pointwise observation ⋮ UDE-based robust boundary control for an unstable parabolic PDE with unknown input disturbance ⋮ Dissipative observers for coupled diffusion-convection-reaction systems ⋮ Boundary control design for a vibrating flexible string system with input nonlinearities ⋮ Switching state observer design for semilinear parabolic PDE systems with mobile sensors ⋮ A backstepping approach to adaptive error feedback regulator design for one-dimensional linear parabolic PIDEs ⋮ On dynamical reconstruction of boundary and distributed inputs in a Schlögl equation ⋮ Cooperative disturbance rejection control of vibrating flexible riser systems ⋮ Tracking control of disturbed crowd dynamic system using unit sliding mode control and feedback linearization ⋮ Fractional-order control with second-order sliding mode algorithm and disturbance estimation for vibration suppression of marine riser ⋮ Single-boundary control of the two-phase Stefan system ⋮ Bilateral backstepping control of coupled linear parabolic PDEs with spatially varying coefficients ⋮ Backstepping-based distributed abnormality localization for linear parabolic distributed parameter systems ⋮ Finite-dimensional observer-based boundary stabilization of reaction-diffusion equations with either a Dirichlet or Neumann boundary measurement ⋮ Boundary sliding mode control of a system of linear hyperbolic equations: a Lyapunov approach ⋮ Stabilization of two coupled wave equations with joint anti-damping and non-collocated control ⋮ Forwarding techniques for the global stabilization of dissipative infinite-dimensional systems coupled with an ODE ⋮ Output feedback exponential stabilization for a 1-d wave PDE with dynamic boundary ⋮ Battery internal temperature estimation via a semilinear thermal PDE model ⋮ Exponential input-to-state stabilization of an ODE cascaded with a reaction-diffusion equation subject to disturbances ⋮ Stabilization of higher order Schrödinger equations on a finite interval. I ⋮ Boundary stabilization and state estimation of ODE-transport PDE with in-domain coupling ⋮ Predictor-based output feedback stabilization of an input delayed parabolic PDE with boundary measurement ⋮ Stability analysis of an ordinary differential equation interconnected with the reaction-diffusion equation ⋮ PI controllers for the general Saint-Venant equations ⋮ Fredholm transformation on Laplacian and rapid stabilization for the heat equation ⋮ Static feedback stabilization of a rotating disk-cable system with measurements from each boundary ⋮ Robustification of stabilizing controllers for ODE-PDE-ODE systems: a filtering approach ⋮ Discrete-time output observers for boundary control systems
