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Frontiers of Information Technology & Electronic Engineering
ISSN 2095-9184 (print), ISSN 2095-9230 (online)
2022 Vol.23 No.12 P.1862-1870
Observer-based control for fractional-order singular systems with order α (0<α<1) and input delay
Abstract: In this paper, observer-based control for fractional-order singular systems with order α (0<α<1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition.
Key words: Observer-based control; Singular systems; Fractional order; Input delay; Linear matrix inequality
1南开大学机器人与信息自动化研究所，中国天津市，300071
2南开大学天津市智能机器人技术重点实验室，中国天津市，300071
3东北大学理学院，中国沈阳市，110819
4南开大学深圳研究院，中国深圳市，518083
摘要：本文研究输入时滞分数阶（0<α<1）奇异系统的观测器控制问题。基于史密斯预测器和逼近误差，有输入时滞的系统近似等价于无输入时滞的系统。进一步地，基于线性矩阵不等式方法，提出基于观测器控制的充要条件。该条件由于包含等式约束，因此是非严格线性矩阵不等式条件，在使用工具箱求解时会遇到一些麻烦。因此，本文改进了基于严格线性矩阵不等式的条件。最后，通过数值算例和直流电机实例说明了基于严格线性矩阵不等式的条件的有效性。
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DOI:
10.1631/FITEE.2200294
CLC number:
O23
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On-line Access:
2024-08-27
Received:
2023-10-17
Revision Accepted:
2024-05-08
Crosschecked:
2022-11-18