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ghw_nit

铁杆木虫 (正式写手)

应助: 14 (小学生)
金币: 7901.9
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红花: 6
帖子: 653
在线: 175.8小时
虫号: 774851
注册: 2009-05-20
性别: GG
专业: 控制理论与方法

[交流] 【讨论】请控制的虫子们，就各自所学的分支，写一个基本思想的介绍吧，提高这里的人气已有21人参与

比如预测控制，其基本的思想是什么样子，要解决什么问题？存在什么问题。

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1楼 2010-04-21 07:58:50

已阅回复此楼关注TA 给TA发消息送TA红花 TA的回帖

fcqian

金虫 (初入文坛)

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虫号: 1370363
注册: 2011-08-17
性别: GG
专业: 控制理论与方法

★ ★ ★
小木虫(金币+0.5):给个红包，谢谢回帖
mze04532(金币+2): 感谢分享~欢迎常来 2011-08-17 18:24:52

下面是我们研究工作的一部分，已经被IEEE Trans. Automatica Control 录用

As the performance index of the linear-quadratic-Gaussian (LQG)
problem is governed by the non-central generalized Chi-square
distribution, solely controlling the expected value of the
performance index, as the traditional LQG theory aims at, is
insufficient to deliver a satisfactory solution in some
situations. While the risk sensitive control does control a specific
weighting sum of various moments of the performance index, the
single degree of freedom in adjusting the weighting coefficients
in this specific weighting sum of various moments of the performance index
often prevents the risk sensitive control from generating a desired
pattern of high order moment-distribution. We achieve in this
paper the complete statistical characterization of the performance
index for the discrete-time LQG formulation. More specifically, we derive
a recursive relationship to obtain cumulants of various orders
of the performance index successively. Parameterized in feedback
gain, the optimal feedback control law can be computed off-line by
solving a static polynomial optimization problem, thus serving two
design goals: i) To shape the probability density function (PDF)
of the performance index to attain, at least approximately, a given desired pattern by
regulating cumulants of various orders, and ii) to improve the
performance measure of an incumbent solution (generated by the risk sensitive control, for example) by adjusting the
levels of cumulants of various orders.