Insensitivity of Optimal Linear Control Systems to Persistent Changes in Parameters
Insensitivity of Optimal Linear Control Systems to Persistent Changes in Parameters
复制标题
最优线性控制系统对参数持续变化的不敏感性
DOI：
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发表时间：
1966
期刊：
影响因子：
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通讯作者：
C. Storey
中科院分区：
文献类型：
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作者：
S. Barnett;C. Storey
摘要以往关于具有二次型性能指标的最优线性控制系统[xdot] = Ax + Bu的灵敏度的工作主要集中在参数的微小变化的影响上。本文证明了最优反馈律u = − Dx对A和B的各种持续变化不敏感（即不受其影响）。给出了A和B的这些变化的一些显式表达式，包括当B固定时的情况，以及当A的变化已知时的情况。如果A是固定的，则B的任何变化都会导致D的变化，因此系统对B的变化比对A的变化更敏感。
ABSTRACT Previous work on the sensitivity of optimal linear control systems [xdot] = Ax + Bu with quadratic performance index has concentrated on the effects of small changes in parameters. It is shown in this paper that the optimal feedback law u = − Dx is insensitive to (i.e. is unaltered by) a wide variety of persistent changes in A and B. Some explicit expressions for these variations in A and B are presented, including the cases when B is fixed, and when the change in A is known. If A is fixed any change in B results in a change in D, so that the system is more sensitive to changes in B than in A.