The present paper proposes the robust control for singular switched fractional order systems (FOS). The main objective of this paper is to design an observer to stabilize the closed-loop singular switched FOS with actuator saturation under the designed switching law. By using generalized singular value decomposition (SVD) and linear matrix inequalities (LMIs), the observer and controller gains are obtained. Then, based on the proposed stabilization conditions, the stability region by solving an optimization problem is estimated. Finally, the presented methods are illustrated by the practical and numerical simulations.

中文翻译：

---

受致动器饱和影响的奇异开关分数阶系统的基于观测器的鲁棒控制

本文提出了奇异开关分数阶系统（FOS）的鲁棒控制。本文的主要目的是设计一个观测器，以在设计的开关规律下稳定具有致动器饱和的闭环奇异开关 FOS。通过使用广义奇异值分解 (SVD) 和线性矩阵不等式 (LMI)，获得观测器和控制器增益。然后，基于建议的稳定条件，通过求解优化问题来估计稳定区域。最后，通过实际和数值模拟说明了所提出的方法。