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分数阶系统的状态反馈控制

State Feedback Control for Fractional Order Systems
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摘要 讨论了矩阵A不满足argλA()()>απ2的带Riemann-Liouville导数的分数阶系统的状态反馈控制。分别针对阶数α(0<α<1)和α(1≤α<2)2种情况,利用状态反抗控制器的设置以及线性矩阵不等式方法得到了系统稳定的充分条件。 This paper studies state feedback control for fractional order systems with Riemann-Liouville derivative,in which matrix A is not satisfying the condition|arg(λ(A)|>απ/2.Based on the state feedback controllers' designer,and Linear Matrix inequality(LMI)approach,the sufficient conditions for the systems with fraction order 0<α <1and 1<α <2are obtained respectively.
出处 《长江大学学报(自科版)(上旬)》 CAS 2014年第12期3-6,共4页 JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI & ENG
基金 国家级特色专业建设项目(TS11496) 信息与计算科学专业综合改革试点(2013ZYSD05) 阜阳师范学院自然科学研究重点项目(2014FSKJ03ZD) 阜阳师范学院自然科学研究一般项目(2013FSKJ10)
关键词 分数阶 状态反馈 稳定 线性矩阵不等式 fractional feedback control stability linear matrix inequality
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