The effects of redundant control inputs in optimal control
The effects of redundant control inputs in optimal control
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DOI：
10.1007/s11432-009-0189-3
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发表时间：
2009-11
期刊：
影响因子：
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通讯作者：
Z. Duan;Lin Huang;Ying Yang
中科院分区：
文献类型：
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作者：
Z. Duan;Lin Huang;Ying Yang
对于可镇定系统，控制输入的扩展无助于可镇定，但对于最优控制是重要的。本文给出了控制输入扩张后严格降低二次最优性能指标的充要条件。对H_2最优控制问题也给出了类似的结果。这些结果显示了单输入控制系统和多输入控制系统之间的本质区别。文中列举了几个例子来说明相关问题。
For a stabilizable system, the extension of the control inputs has no use for stabilizability, but it is important for optimal control. In this paper, a necessary and sufficient condition is presented to strictly decrease the quadratic optimal performance index after control input extensions. A similar result is also provided forH2optimal control problem. These results show an essential difference between single-input and multi-input control systems. Several examples are taken to illustrate related problems.