Abstract
Linear quadratic (LQ) controllers are important because of their robustness in systems with ill-defined structural parameters and unmodelled dynamics (Safanov and Athans, 1977). However the computational requirements of large order, or high speed, industrial applications require fast implementations, and this can be achieved using parallel architectures. Within this paper, hierarchical signal flow graphs (HSFGs) are used to illustrate the computations and the data flow required for the linear quadratic control algorithm. From these HSFGs, fast efficient parallel algorithms are easily and effectively developed, thus illustrating how relatively complex parallel algorithms can be devised in a systematic manner.
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