Robust H∞ control for fractional order singular systems 0 < α < 1 with uncertainty

被引：2
|
作者：
Li, Bingxin [1 ,2 ]
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, Shenzhen Res Inst, Inst Intelligence Technol & Robot Syst, Shenzhen, Peoples R China
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2023年 / 44卷 / 01期
基金：
中国国家自然科学基金; 国家重点研发计划;
关键词：
fractional order singular systems; H-infinity control; linear matrix inequality; robust H-infinity control; SLIDING MODE CONTROL; BOUNDED REAL LEMMAS; STABILIZATION; ADMISSIBILITY; STABILITY;
D O I：
10.1002/oca.2939
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 article studies robust H-infinity control for fractional order singular systems (FOSS) 0 <alpha < 1 with uncertainty. First, the condition based on the linear matrix inequality (LMI) is obtained for fractional order systems with 0 <alpha< 1 in Corollary 1. Compared with existing results, by using two matrices to replace the complex matrix, the condition is easier to solve. Based on Corollary 1, the condition of H-infinity control based on non-strict LMI for FOSS without uncertainty is proposed. The strict LMI-based conditions of H-infinity control are improved to overcome the equality constraints. Finally, the LMI-based conditions of robust H-infinity control are proposed for FOSS. Four examples are shown to illustrate the effectiveness of the method.
引用
收藏
页码：332 / 348
页数：17
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