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AN ALGORITHM FOR THE WEIGHTING MATRICES IN THE SAMPLED-DATA OPTIMAL LINEAR REGULATOR PROBLEM

机译：采样数据最优线性调节器问题中加权矩阵的一种算法

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摘要

The sampled-data optimal linear regulator problem provides a means whereby a control designer can use an understanding of continuous optimal regulator design to produce a digital state variable feedback control law which satisfies continuous system performance specifica¬tions. A basic difficulty in applying the sampled-data regulator theory is the requirement that certain digital performance index weighting matrices, expressed as complicated functions of system matrices, be computed. This report presents infinite series representations for the weighting matrices of the time-invariant version of the optimal linear sampled-data regulator problem. Error bounds are given for estimating the effect of truncating the series expressions after a finite number of terms and a method is described for their computer implementation. A numerical example is given to illustrate the results.

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