Abstract
A nonlinear robust controller is presented for the minimization of water level deviation in presence of disturbances in an one-reach open channel controlled by an underflow gate at the upstream end. To apply nonlinear robust control to this distributed parameter system, the original nonlinear partial differential equations (the Saint-Venant equations) were adopted without using neither linearization nor discretization. We have defined an infinite-dimensional Hamilton-Jacobi equation and modified an algorithm proposed for solving open loop constrained minimax problem to the infinite-dimensional case.
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