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Inverse Problem of a Modified LQ Control

机译：修改的LQ控制的逆问题

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摘要

A frequency-domain characterization of the solution to a modified LQ problem, which have been formulated and solved by the present authors, is discussed. In the modified LQ problem the optimal state feedback law is supposed to be determined in terms of minimum covariance matrix of the state vector. Without costing the control power, the problem is made well-posed by assuming state observation noise that effectively suppresses the control power. An inequality condition similar to the well known circle criterion is derived as a necessary and sufficient condition for a state feed back law to be the solution to some LQ problem of the modified form.
机译：讨论了通过本作者制定和解决的修改LQ问题的解决方案的频域表征。在修改的LQ问题中，应该根据状态向量的最小协方差矩阵来确定最佳状态反馈定律。在不耗费控制功率的情况下，通过假设有效抑制控制功率的状态观察噪声，解决问题是良好的。与众所周知的圆形标准类似的不等式条件是衍生出状态馈送法的必要和充分条件，以解决修改形式的一些LQ问题。

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