不确定奇异分数阶系统的正则和鲁棒稳定

doi:10.3969/j.issn.0253-2778.2015.07.003

中国科学技术大学学报 ›› 2015, Vol. 45 ›› Issue (7): 555-560.DOI: 10.3969/j.issn.0253-2778.2015.07.003

不确定奇异分数阶系统的正则和鲁棒稳定

1. 中国科学技术大学自动化系，安徽合肥，230027；
2. 中国科学技术大学火灾国家重点实验室；安徽合肥 230027；
3. 浙江工业大学自动化系，浙江杭州 310014

出版日期:2015-07-30 发布日期:2023-05-15

Regularization and robust stabilization of uncertain descriptor fractionalorder systems

1. Department of Automation, University of Science and Technology of China, Hefei 230027, China;
2. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230027, China;
3. Department of Automation, Zhejiang University of Technology, Hangzhou 310014, China

Online:2015-07-30 Published:2023-05-15
Contact: KANG Yu, PhD/Professor.
About author:HUANG Rong, male, born in 1989, Master. Research field: Automatic Control。
Supported by:
Supported by National Natural Science Foundation of China (61422307, 61304048, 61174061)；National High-tech R & D Program of China (863) (2014AA06A503)；Scientific Research Staring Foundation for the Returned Overseas Chinese Scholars；Youth Innovation Promotion Association,Chinese Academy of Sciences；Youth Top-Notch Talent Support Program.

摘要/Abstract

摘要： 研究了不确定奇异分数阶系统的鲁棒稳定和镇定问题.在该系统里，状态矩阵的不确定参数通常假定为时不变和范数有界的.首先设计一个可预测的控制器使得不确定奇异分数阶正则；然后设计一个输出反馈控制器使得正则后的系统稳定，这样可以得到当分数阶阶次在［1,2）时系统鲁棒渐近稳定的充分条件；最后通过一个数值仿真证明了该方法的有效性.

关键词: 奇异分数阶系统, 参数不确定, 输出反馈控制, 正则和鲁棒稳定

Abstract: The robust stability and stabilization of uncertain descriptor fractional-order systems are investigated. In such systems parameter uncertainty is assumed to be time-invariant and norm-bounded in the state matrix. First, a predictive controller was used to regularize the uncertain descriptor fractionalorder systems, and then an output feedback controller was designed to stabilize the regularized system. The sufficient conditions for robustly stabilizing such systems with the fractional order alpha in ［1,2) are derived. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

Key words: descriptor fractional-order systems, parameter uncertainty, output feedback control, regularization and robust stabilization

中图分类号:

TP273

黄荣, 康宇, 赵云波. 不确定奇异分数阶系统的正则和鲁棒稳定[J]. 中国科学技术大学学报, 2015, 45(7): 555-560.

HUANG Rong, KANG Yu, ZHAO Yunbo. Regularization and robust stabilization of uncertain descriptor fractionalorder systems[J]. Journal of University of Science and Technology of China, 2015, 45(7): 555-560.

不确定奇异分数阶系统的正则和鲁棒稳定

Regularization and robust stabilization of uncertain descriptor fractionalorder systems

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