Minimization of a closed-loop response to a fixed input for SISOsystems

Casavola A.; Mosca E.

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Minimization of a closed-loop response to a fixed input for SISOsystems

机译：最小化对SISOsystem的固定输入的闭环响应

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It is shown that the problem of minimizing a regulated response of a single-input/single-output system due to a fixed bounded input can be converted, via polynomial techniques, to a linear infinite-dimensional Chebyshev data fitting problem. Approximating feasible solutions within any specified degree of accuracy can be obtained by converting the original problem into a sequence of increasingly large, finite-dimensional Chebyshev approximation problems, for which solution stable and efficient numerical methods exist. A direct formula for calculating tight upper-bounds to the approximation error is provided. The link between the present algebraic approach and the Dahleh and Pearson functional analytic one (1988) is also discussed

机译：结果表明，由于固定的有界输入，使单输入/单输出系统的调节响应最小化的问题可以通过多项式技术转换为线性无穷维Chebyshev数据拟合问题。通过将原始问题转换为一系列越来越大的有限维Chebyshev逼近问题序列，可以获得任何特定精度的近似可行解，对于这些问题存在稳定而有效的数值方法。提供了一个直接公式，用于计算逼近误差的严格上限。还讨论了当前代数方法与Dahleh和Pearson函数分析方法（1988）之间的联系。

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《IEEE Transactions on Automatic Control》 |1997年第11期|p.1581-1587|共7页
作者
Casavola A.; Mosca E.;
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正文语种 eng
中图分类自动化系统;
关键词
Chebyshev approximation; closed loop systems; minimisation; optimal control; stability criteria; SISO systems; algebraic approach; approximation error; closed-loop response minimization; finite-dimensional Chebyshev approximation problems; fixed bounded input; func;

机译：Chebyshev逼近;闭环系统;最小化;最优控制;稳定性判据;SISO系统;代数方法;逼近误差;闭环响应最小化;有限维Chebyshev逼近问题;固定有界输入;func;

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专利

1. Minimization of a closed-loop response to a fixed input for SISO systems [J] . Casavola A., Mosca E. IEEE Transactions on Automatic Control . 1997,第11期

机译：SISO系统对固定输入的闭环响应最小化
2. Minimization of a regulated response to a fixed input [J] . Dahleh M.A., Pearson J.B. IEEE Transactions on Automatic Control . 1988,第10期

机译：最小化对固定输入的调节响应
3. Regional efficiency improvement by means of data envelopment analysis through Euclidean distance minimization including fixed input factors: An application to tourist regions in Italy [J] . Soushi Suzuki, Peter Nijkamp, Piet Rietveld Papers in regional science . 2011,第1期

机译：通过包含固定输入因子的欧几里德距离最小化，通过数据包络分析提高区域效率：在意大利旅游区的应用
4. Minimization of the maximum peak-to-peak gain with time domain constraints on fixed input response [C] . Ohta, Y., Toude, . 1999

机译：在固定输入响应的时域约束下最小化最大峰峰值增益
5. Three essays on the performance analysis of closed-loop conveyors with discrete spaces and fixed windows. [D] . Hsieh, Ying-Jiun. 2001

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7. Regional Efficiency Improvement by Means of Data Envelopment Analysis through Euclidean Distance Minimization Including Fixed Input Factors: An Application to Tourist Regions in Italy [O] . Suzuki, S., Nijkamp, P., Rietveld, P. 2011

机译：通过包括固定输入因子在内的欧氏距离最小化的数据包络分析提高区域效率：在意大利旅游区中的应用

Minimization of a closed-loop response to a fixed input for SISOsystems

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