Synthesis of a Minimum-Energy Controller Subject to an Average Power Constraint

Pearson A. E.

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Synthesis of a Minimum-Energy Controller Subject to an Average Power Constraint

机译：受平均功率约束的最小能量控制器的综合

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The synthesis of controllers, optimum in the sense of MinÃÂÃÂ¿u2(t)dt, u(t) u the control function, and Subject to the constraint T = ÃÂÃÂ¿0Tu2(t)dt is given for a plant with constant coefficients and distinct characteristic roots. Several variations in the synthesis are considered if the plant has numerator dynamics. The computation involves solving a single transcendental equation for the response time T. Results for several particular plants are given, and these are fimilar to time optimal control.

机译：控制器的综合，在MinÃƒÂ，u2（t）dt，u（t）u的意义上是最优的控制函数，并且受约束T =ÃƒÂ¡0Tu2（ t）dt用于具有恒定系数和不同特征根的植物。如果工厂具有分子动力学，则应考虑合成中的几种变化。该计算涉及求解响应时间T的单个超越方程。给出了几种特定植物的结果，这些结果与时间最优控制类似。

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《Applications and Industry, IEEE Transactions on》 |1963年第66期|P.70-75|共6页
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Pearson A. E.;
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Columbia University, New York, N. Y.;

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Synthesis of a Minimum-Energy Controller Subject to an Average Power Constraint

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