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This paper considers the optimal tracking control (OTC) problem for bilinear systems affected by sinusoidal disturbances, and gives a successive approximation approach to solve analogous problems for general bilinear systems. For a given bilinear OTC problem, a sequence of linear problems is constructed, and their solutions are shown to converge to the desired solution. By iteratively solving the...
If we approximate distributed parameter heat exchanger systems as bilinear systems, the systems often contain not only product terms of the state variables and the input flow rates but also product terms of the state variables and the disturbance flow rates. In almost bilinear systems investigated so far, disturbances were applied to the systems linearly. Therefore we cannot apply such controllers...
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