描述变量理论在线性时滞系统最优控制问题研究中的应用

1989 American Control Conference Pub Date : 1989-06-21 DOI:10.23919/ACC.1989.4790544

E. Y. Ibrahim, V. Lovass-Nagy, R. Mukundan, D. L. Powers, R. Schilling

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引用次数: 0

摘要

线性定常时滞控制系统是用定常描述变量系统来逼近的。近似描述变量系统不包含任何时滞，而是由输入向量及其导数的线性组合控制。导出了最优控制存在的必要条件;详细研究了一类“最小能量”最优控制问题。

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On Application of Descriptor-Variable Theory to the Investigation of Optimal Control Problems of Linear Time-Delay Systems

Linear time-invariant time-delay control systems are approximated by time-invariant descriptor-variable systems. The approximating descriptor-variable systems do not contain any time-delay but they are controlled by a linear combination of the input vector and some of its derivatives. Necessary conditions are derived for existence of optimal controls; a "minimum energy" optimal control problem is investigated in some detail.

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1989 American Control Conference

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