分数阶不确定奇异系统的镇定

Stabilization of fractional-order singular uncertain systems

研究阶数0<α<1的分数阶不确定奇异系统的鲁棒镇定问题.利用矩阵奇异值分解和线性矩阵不等式方法提出新的基于观测器的鲁棒状态反馈镇定的充分条件,同时给出该条件下观测器和状态反馈控制器的具体求解方法.最后通过数值例子验证该方法的有效性.

The stabilization for fractional-order singular(FOS)uncertain linear systems with the fractional commensurate order 0<α<1was researched.By using the matrix singular value decomposition(SVD)and linear matrix inequality(LMI)technics,the sufficient conditions for robust state feedback stabilization based on the state observer were derived.The efficient approach were also presented for designing the observer and the state feedback controller under this condition.Finally,numerical example demonstrates the validity of this approach.