Continuity of the Combined $L^{1}-L^{2}$ Optimal Control for Linear Systems

Continuity of the Combined $L^{1}-L^{2}$ Optimal Control for Linear Systems
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线性系统组合 $L^{1}-L^{2}$ 最优控制的连续性

DOI:
10.1109/indiancc.2019.8715553
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发表时间:
2019
期刊:
2019 Fifth Indian Control Conference (ICC)
影响因子:
--
通讯作者:
D. Chatterjee
D. Chatterjee
中科院分区:
--
文献类型:
--
作者:
M. Nagahara;D. Chatterjee

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本文证明了线性系统组合L^{1}-L^{2}(CLOT)最优控制的连续性。为此,我们给出了基于非光滑极大值原理的CLOT最优控制问题的一阶必要条件。从这些必要条件,我们证明,如果问题是正常的,那么CLOT最优控制(如果它存在)是连续的时间。仿真结果说明了CLOT最优控制的连续性。
In this article, we prove the continuity property of the Combined $L^{1}-L^{2}$ (CLOT) optimal control for linear systems. For this, we give first-order necessary conditions for the CLOT optimal control problem based on the non-smooth maximum principle. From these necessary conditions, we prove that if the problem is normal, then the CLOT optimal control (if it exists) is continuous with respect to time. Simulation results are shown to illustrates the continuity property of the CLOT optimal control.
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