A weighted error controller for a class of distributed parameter systems

The paper treats the control problem of a class of distributed parameter systems described by hyperbolic partial differential equations. The controllers are obtained using the concept of boundary geometric control and a weighted error control technique. A control algorithm is proposed and the stability is analyzed. Then, for a dynamic model with uncertain components, a robust algorithm based on weighted error Sliding Mode Control is discussed. Numerical simulations are also provided to verify the effectiveness of the presented approach.

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