Minimum energy control of fractional positive continuous-time linear systems using Caputo-Fabrizio definition

Kaczorek T.

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Minimum energy control of fractional positive continuous-time linear systems using Caputo-Fabrizio definition

机译：使用Caputo-Fabrizio定义的分数正连续线性系统的最小能量控制

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摘要

The Caputo-Fabrizio definition of the fractional derivative is applied to minimum energy control of fractional positive continuous- time linear systems with bounded inputs. Conditions for the reachability of standard and positive fractional linear continuous-time systems are established. The minimum energy control problem for the fractional positive linear systems with bounded inputs is formulated and solved.

机译：将分数阶导数的Caputo-Fabrizio定义应用于具有有界输入的分数阶正连续线性系统的最小能量控制。建立了标准分数线性连续时间系统和正分数线性连续时间系统的可达性条件。建立并求解了输入有界的分数阶正线性系统的最小能量控制问题。

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来源
《Bulletin of the Polish Academy of Sciences. Technical Sciences》 |2017年第1期|共7页
作者
Kaczorek T.;
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作者单位

Bialystok Tech Univ Fac Elect Engn 45D Wiejska St PL-15351 Bialystok Poland;

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原文格式 PDF
正文语种 eng
中图分类一般工业技术;年鉴、年刊;
关键词
fractional positive continuous-time system; minimum energy control; bounded inputs;

机译：分数正连续时间系统;最小能量控制;有界输入;

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机译：使用Caputo-Fabrizio定义的分数阶连续连续线性系统的最小能量控制
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Minimum energy control of fractional positive continuous-time linear systems using Caputo-Fabrizio definition

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