| 引用本文: | 张有陵,刘山.基于最优状态转移的非因果稳定逆[J].控制理论与应用,2016,33(4):428~436.[点击复制] |
| ZHANG You-ling,LIU Shan.Non-causal stable inversion based on optimal state to state transition[J].Control Theory and Technology,2016,33(4):428~436.[点击复制] |
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| 基于最优状态转移的非因果稳定逆 |
| Non-causal stable inversion based on optimal state to state transition |
| 摘要点击 3529 全文点击 2331 投稿时间：2015-01-04 |
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| DOI编号 10.7641/CTA.2016.15002 |
| 2016,33(4):428-436 |
| 中文关键词 稳定逆 状态转移 非因果 非最小相位 |
| 英文关键词 stable inversion state to state transition non-causal non-minimum phase |
| 基金项目 |
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| 中文摘要 |
| 本文研究非最小相位系统的精确跟踪问题. 理想情况下, 非最小相位系统针对参考轨迹的精确跟踪可以通
过非因果稳定逆方法实现, 但控制输入需从负无穷处开始作用. 而在实际情况下应用非因果稳定逆算法时, 控制输
入通过延拓提前作用的时间是有限的, 只能得到近似的跟踪效果. 本文提出了一种基于最优状态转移的非因果稳定
逆算法, 能够在实际情况下实现非最小相位系统对参考轨迹的精确跟踪, 放松了稳定逆方法对系统的初始状态和延
拓时间的限制, 而且在相同跟踪效果的条件下, 比近似稳定逆方法的延拓时间更短. 对比仿真结果验证了所提方法
的性能. |
| 英文摘要 |
| Non-causal stable inversion method can be used to track the reference trajectory precisely under some strict
conditions for non-minimum phase systems; these conditions require the control input to start action from negative infinity
on the time axis. However, in the actual situation, the control input of the stable inversion method must be truncated and
only acts in a finite extended time interval; this results in an approximate tracking instead of the precise tracking. In this
paper, we propose for non-minimum phase systems a revised non-causal stable inversion method based on optimal state-tostate
transition, it can achieve a precise tracking of the reference trajectory in the actual situation, regardless of the arbitrary
initial system state or the arbitrary extended time. With the same tracking precision guaranteed, the proposed method has a
shorter extended time in comparison with the approximate stable inversion method. The better performance of the proposed
method is validated through simulation results. |
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