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Stabilization of Two Parallel Coupled Strings
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DOI：10.1002/asjc.70222.png)
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Abstract
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The article considers the boundary feedback stabilization of two parallel coupled string equations. The parallel coupled string equations are equivalently transformed into a
first-order hyperbolic equations with nonlocal terms. The control law is given by backstepping transformation. Then Lyapunov function method is used to show that the closed-loop system is well-posed in an
space. Finally, numerical simulation results show that the state of the closed-loop system is exponentially stable.
Keywords:
backstepping method
coupled hyperbolic equations
parallel coupled string
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