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To solve the boundary control problem, we first use the method of lines to obtain a finite-dimensional ODE model based on the original PDE system.
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A well rate controller for the boundary control problem is designed using the backstepping method.
In this study, we consider a boundary control problem of a flexible aerial refueling hose in the presence of input disturbance.
In particular we show that under suitable assumptions the value function of the boundary control problem is the unique viscosity solution of the related Hamilton-Jacobi equation.
In this paper, we determine that there exists at least one solution to the time optimal boundary control problem with time-varying controls.
We formulate a mathematical model and perform the analytic and numerical analysis of the boundary control problem based on the Lyapunov method.
In this paper, we model the problem of mitigating water hammer during valve closure by an optimal boundary control problem involving a nonlinear hyperbolic PDE system that describes the fluid flow along the pipeline.
The optimal boundary control problem is studied for coupled parabolic PDE ODE systems.
Moreover, an exponentially convergent observer for anti-collocated setup is proposed, and the output feedback boundary control problem is solved.
Int J Numer Meth Geomech 1999 23 1455 72, Ichikawa Y, Ohkami T. A parameter identification procedure as a dual boundary control problem for linear elastic materials.
Abstract: Control of freeway traffic using ramp metering is a "boundary control" problem when modeling is approached using widely adopted coupled hyperbolic PDE models of the Aw-Rascle-Zhang type, which include the velocity and density states, and which incorporate a model of driver reaction time.
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