Controller Implementation for a Class of Spatially-Varying Distributed Parameter Systems

Abstract In this paper we discuss fast implementation of the model based centralized controllers using fractional Fourier transform for large scale plant models coming from spatial discretization of a certain type of linear spatially-varying distributed parameter systems. This fast implementation reduces the computational time delay significantly when the dimension of the system is higher than 512 = 2 9 . Compared to direct implementation, the proposed method allows faster sampling. If the control design objectives are demanding fast closed loop modes, then slower sampling required by direct implementation leads to instability. The results are illustrated by an example.

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