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Control law in analytic expression of a system coupled by reaction–diffusion equation
قانون کنترل در بیان تحلیلی یک سیستم همراه با معادله واکنش- انتشار-2020 Control design of a coupled ODE–PDE boundary control system is considered in this paper. The PDE
is one dimensional reaction–diffusion equation, with constant parameters, actuated at one of the
boundaries and coupled to a linear and time-invariant ODE at the opposite boundary. By introducing a
two-step backstepping design procedure, analytic solutions of the kernel and vector-valued functions
in the backstepping transformations are obtained. Therefore, a boundary control law in analytic
expression is constructed for this coupled ODE–PDE control system. Keywords: Coupled system | Two-step backstepping | Stabilization |
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