A New Approximate Method for Construction of the Normal Control. <ce:cross-ref refid='fn1'> <ce:sup loc='post'>?</ce:sup> </ce:cross-ref>

Evgeniy A. Krupennikov

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A New Approximate Method for Construction of the Normal Control. ?

机译：一种建构正常控制的新方法。？

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The problem of construction of the normal control (namely, the control with the least norm inL2space) that generates a given trajectory of a control system is considered. A new method for constructing approximations of the normal control is suggested for a class of control systems with dynamics linear in controls and non-linear in state coordinates where the dimension of the control parameter is greater than or equal to the dimension of the state variables. This method relies on necessary optimality conditions in auxiliary variational problems.An illustrating example is exposed. The results of numerical simulation are compared with the results obtained with another approach.

机译：考虑了生成控制系统的给定轨迹的正常控制的构建问题（即，具有最小规范Inl2space的控制）。用于构建正常控制的近似的新方法，用于一类具有动力学线性的控制系统，在控制参数的尺寸大于或等于状态变量的尺寸的状态坐标中。该方法依赖于辅助变分问题中的必要的最优性条件。示出示例的示例是暴露的。将数值模拟的结果与另一种方法获得的结果进行了比较。

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《IFAC PapersOnLine》 |2018年第32期|共6页
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Evgeniy A. Krupennikov;
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normal controlNonlinear control systemscalculus of variationsHamiltonian systems;

机译：普通ControlNonlinear控制系统的变化汉尔顿系统;

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A New Approximate Method for Construction of the Normal Control. ?

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