Sentence examples for using the boundary control from inspiring English sources

Using the boundary control transformation method, the PDE-ODE system is represented in an infinite-dimensional state-space with a homogeneous boundary condition.

We also show that the proposed method can be used for the boundary control of a Korteweg de Vries-like third-order PDE.

The design is based on three steps, (1) parametrization of the sinusoidal disturbance as the output of a known feedback system with an unknown output vector that depends on unknown disturbance parameters, (2) representation of the delay as a transport PDE, (3) design of the adaptive controller by using the backstepping boundary control technique for PDEs.

By means of Lyapunov based techniques, we derive some sufficient conditions for exponential boundary observer design using only the information from the boundary control and the boundary conditions.

A well rate controller for the boundary control problem is designed using the backstepping method.

Overall, the optimal control is simply given by the BANG control U until (v_{2}) reaches the guard, after which the boundary control is used exactly as in the single spike problem.

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.

To illustrate the control performance of the boundary control law satisfying condition (H), numerical simulations by using the finite element method (FEM) are performed.

This paper addresses the stabilization problem of the nonlinear Kirchhoff string using nonlinear boundary control.

The objective is to stabilize an unstable steady-state of the system using boundary control of temperature and concentration on the inlet side of the reactor.

We design control laws for a class of dissipative infinite-dimensional systems using nonlinear boundary control action.