Time-Optimal Control of Fractional Dynamic Systems

被引：3

作者：

Tricaud, Christophe ^{[1
]}

Chen, YangQuan ^{[1
]}

机构：

[1] Utah State Univ, Dept Elect & Comp Engn, CSOIS, 41260 Old Main Hill, Logan, UT 84322 USA

来源：

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年

关键词：

FORMULATION; SCHEME;

D O I：

10.1109/CDC.2009.5400637

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a formulation for fractional time-optimal control problems in terms of Riemann-Liouville fractional derivatives. For solution seeking purpose, the fractional operator is approximated using a rational approximation of the Hankel data matrix of the impulse response and the problem is reformulated. The problem is thoroughly studied for a fractional double integrator, and the solution is obtained by both numerical optimization and time-domain analysis.

引用

页码：5027 / 5032

页数：6

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