Discrete-time entropy formulation of optimal and adaptive control problems

Tsai Y.A.; Casiello F.A.

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Discrete-time entropy formulation of optimal and adaptive control problems

机译：最优和自适应控制问题的离散时间熵公式

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The discrete-time version of the entropy formulation of optimal control of problems developed by G.N. Saridis (1988) is discussed. Given a dynamical system, the uncertainty in the selection of the control is characterized by the probability distribution (density) function which maximizes the total entropy. The equivalence between the optimal control problem and the optimal entropy problem is established, and the total entropy is decomposed into a term associated with the certainty equivalent control law, the entropy of estimation, and the so-called equivocation of the active transmission of information from the controller to the estimator. This provides a useful framework for studying the certainty equivalent and adaptive control laws.

机译：由G.N.开发的最佳控制问题的熵公式的离散时间版本。讨论了Saridis（1988）。给定一个动力学系统，控件选择中的不确定性以概率分布（密度）函数为特征，该函数使总熵最大化。建立了最优控制问题和最优熵问题之间的等价关系，并将总熵分解为与确定性等价控制律，估计熵和所谓的信息主动传递等价相关的项估计器的控制器。这为研究确定性等价和自适应控制定律提供了有用的框架。

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《IEEE Transactions on Automatic Control》 |1992年第7期|P.1083-1088|共6页
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Tsai Y.A.; Casiello F.A.;
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正文语种 eng
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1. Entropy formulation of optimal and adaptive control [J] . Saridis G.N. IEEE Transactions on Automatic Control . 1988,第8期

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3. Decentralized Optimal Control of a Class of Interconnected Nonlinear Discrete-Time Systems by Using Online Hamilton-Jacobi-Bellman Formulation [J] . Mehraeen S., Jagannathan S. Neural Networks, IEEE Transactions on . 2011,第11期

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4. Entropy Formulations of Discrete-Time Adaptive Optimal Control Problems [C] . YI -SEN CHEN, CHING-CHIH TSAI 19th IASTED(International Association of Science and Technology for Development) International Conference on Modelling, Identification and Control, 19th, Feb 14-17, 2000, Innsbruck, Austria . 2000

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Discrete-time entropy formulation of optimal and adaptive control problems

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