吉林大学学报（信息科学版）2017，Vol.35Issue(4)：392-397,6.
不确定分数阶奇异系统鲁棒控制及稳定性分析
Robust Control and Stability Analysis of Uncertain Descriptor Fractional Order Systems
摘要
Abstract
In order to solve the problem of the stability analysis of the linear descriptor fractional-order systems, the continuous frequency distributed equivalent model and the indirect Lyapunov approach are applied in the research of the linear descriptor fractional-order systems, an PD( Proportional-Derivative) controller is proposed to normalize the descriptor fractional order system. A novel sufficient condition for asymptotic stability of the descriptor fractional-order system with the order α( 0<α<1 ) is presented. LMI ( Linear Matrix Inequalities ) techniques and matrix's SVD ( Singular Value Decomposition ) are used to obtain the results. A numerical example is provided to demonstrate the effectiveness of the proposed methods.关键词
鲁棒控制/奇异值分解/线性矩阵不等式/分数阶奇异系统Key words
robust control/singular value decomposition ( SVD )/linear matrix inequalities ( LMI )/descriptor fractional-order system分类
信息技术与安全科学引用本文复制引用
张会珍,刘宝江,邵克勇,任伟建..不确定分数阶奇异系统鲁棒控制及稳定性分析[J].吉林大学学报（信息科学版）,2017,35(4):392-397,6.基金项目
国家自然科学基金资助项目(51404073) （51404073）
黑龙江省教育厅科技研究基金资助项目(12541090) （12541090）
