Robust H∞ Control of Fractional-Order Switched Systems with Order 0 < α < 1 and Uncertainty

被引：8
作者：
Li, Bingxin [1 ,2 ]
Zhao, Xiangfei [1 ,2 ]
Liu, Yaowei [1 ,2 ,3 ]
Zhao, Xin [1 ,2 ,3 ]
机构：
[1] Nankai Univ, Inst Robot & Automat Informat Syst, Tianjin 300071, Peoples R China
[2] Nankai Univ, Tianjin Key Lab Intelligent Robot, Tianjin 300071, Peoples R China
[3] Nankai Univ, Inst Intelligence Technol & Robot Syst, Shenzhen Res Inst, Shenzhen 518083, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 03期
基金：
中国国家自然科学基金; 国家重点研发计划;
关键词：
robust H-infinity control; fractional-order switched systems; fractional-order switching law; linear matrix inequalities (LMIs); state feedback controller; STABILITY ANALYSIS; TRACKING CONTROL; LINEAR-SYSTEMS; STABILIZATION; STABILIZABILITY; LYAPUNOV;
D O I：
10.3390/fractalfract6030164
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, robust H-infinity control for fractional-order switched systems (FOSSs) with uncertainty is studied. Firstly, the fractional-order switching law for FOSSs is proposed. Then, H-infinity control for FOSSs is proven based on the switching law and linear matrix inequalities (LMIs). Moreover, H-infinity control for FOSSs with a state feedback controller is extended. Furthermore, the LMI-based condition of robust H-infinity control for FOSSs with uncertainty is proven. Furthermore, the condition of robust H-infinity control is proposed to design the state feedback controller. Finally, four simulation examples verified the effectiveness of the proposed methods.
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页数：16
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