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Exponential Stabilization of the Uncertain Wave Equation via Distributed Dynamic Input Extension
2011
IEEE Transactions on Automatic Control
The wave equation is studied under the effect of a persistent external perturbation. A dynamical distributed controller is suggested, based on an infinite-dimensional generalization of second-order sliding-mode control techniques, that provides the exponential attainment of a sufficiently smooth arbitrary reference of the state trajectory. The control system comprises of both feedforward and feedback parts, the latter being a discontinuous term directly connected to the plant input through a
doi:10.1109/tac.2010.2089380
fatcat:ciac2iu2ejbwvc37wmdczjjxui