摘要
在考虑带有传感器故障和存在量测噪声的条件下,设计了不确定分数阶系统的状态观测器.通过利用增广矩阵和根据矩阵秩不变的性质,把不确定分数阶系统增广为广义分数阶不确定系统.根据线性矩阵不等式的分数阶系统稳定性判据,考虑分数阶次在1 <q <2的范围,给出误差动态系统渐近稳定的充分条件,得到传感器故障和量测噪声的准确估计.为了能在实际应用中得到更好的结果,将观测器改进为不带输出导数的形式.通过仿真算例验证了结果的有效性.
The observer for the uncertain fractional-order system with sensor fault and system measurement noise is developed.By using the method of augmented matrix and the invariant property of matrix rank,the uncertain fractional-order system is augmented into the singular fractional-order uncertain system.Based on the linear matrix inequality approach of stability criterion for fractional-order systems,an asymptotic stability criterion of the error dynamic system with fractional-order satisfying 1<q<2 is proved.An exact estimation with sensor fault and measurement noise is derived.In order to obtain better outcomes in practical application,the observer is improved to the form without output derivative.Through numerical examples,the obtained criterion is verified.
作者
张雪峰
刘博豪
ZHANG Xue-feng;LIU Bo-hao(School of Sciences,Northeastern University,Shenyang 110819,China)
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2019年第5期619-624,共6页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(61673094
61673100)
关键词
不确定分数阶系统
渐近稳定性
线性矩阵不等式
观测器设计
传感器故障
量测噪声
uncertain fractional-order systems
asymptotic stability
linear matrix inequalities(LMIs)
observer design
sensor fault
measurement noise
