Stabilization for 1-d Hyperbolic Differential Equations with Boundary Input including a Nonlinear Disturbance
نویسندگان
چکیده
We consider the stabilization for 1-D hyperbolic differential equations with boundary input including a nonlinear disturbance. The time varying extended state observer (ESO) is designed to estimate the disturbance. Based on the estimated disturbance, we obtain an explicit controller by applying the backstepping method. It is shown that the closed-loop system of the 1-D hyperbolic differential equation is asymptotically stable under this controller. This result is illustrated by simulation examples.
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