Robust Stability and Stabilization of Commensurate Fractional Multi-Order Systems with Norm-bounded Uncertainties

被引：0
|
作者：
Sha, Xin-Yu [1 ]
Lu, Jun-Guo [2 ,3 ]
机构：
[1] Shanghai Jiao Tong Univ, Inst Paris Tech, Shanghai 200240, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[3] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai, Peoples R China
来源：
PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021) | 2021年
基金：
中国国家自然科学基金;
关键词：
Commensurate fractional multi-order systems; linear matrix inequality; norm-bounded uncertainties; stability; stabilization; OUTPUT-FEEDBACK; TIME;
D O I：
10.1109/CCDC52312.2021.9602184
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 considers robust stability and stabilization problems of commensurate fractional multi-order systems with norm-bounded uncertainties. With the lowest fractional order 0 < alpha < 1, robust sufficient stability conditions are presented. Then depending on the accessibility of the systems' state vector and its fractional derivatives, a robust state feedback controller and a robust static output feedback controller are designed for stabilizing. All results are presented in the form of linear matrix inequality to take advantages of the LMI mathematical tools. Finally, numerical examples are implemented to demonstrate the effectiveness of the proposed results.
引用
收藏
页码：2839 / 2844
页数：6
相关论文
共 50 条
12345