Exponential Stabilization of 1-d Wave Equation with Distributed Disturbance

نویسندگان

  • QI HONG FU
  • GEN QI XU
چکیده

In this paper, we consider the stabilization problem of a one-dimensional wave equation with unknown disturbance. In order to stabilize the system with disturbance, we design a distributed feedback controller by employing the idea of sliding mode control technology. For the resulted nonlinear closed-loop system, we prove its solvability by using the maximal monotone operator. Further we prove the exponentially stable of the closedloop system. Key–Words: 1-d wave equation; distributed control; distributed disturbance; exponential stabilization.

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تاریخ انتشار 2015