Ait Ladel Ayyoub, Benzaouia Abdellah, Outbib Rachid, Ouladsine Mustapha
LAEPT, Physics Department, Faculty of Sciences Semlalia, Cadi Ayyad University, P.B.2390, Marrakech, Morocco; LIS Laboratory (UMR CNRS 7020), Aix-Marseille University, 13397 Marseille, France.
LAEPT, Physics Department, Faculty of Sciences Semlalia, Cadi Ayyad University, P.B.2390, Marrakech, Morocco; Modeling, Information, and Systems Laboratory, University of Picardie Jules Verne, UFR of Sciences, 33 Rue St Leu Amiens, 80000, France.
ISA Trans. 2021 Jun;112:224-233. doi: 10.1016/j.isatra.2020.12.005. Epub 2020 Dec 5.
In this paper, we address the state/fault estimation and observer-based control issues for switched systems with sensor faults. The main objective is to estimate sensor faults and compensate for their effects on the system state estimation, and then stabilize the switched system by the estimated state feedback. Applying the mode-dependent average dwell time (MDADT) concept and the Lyapunov stability theory, a new separation principle is developed, which allows formalizing the observer-based controller design in the form of linear matrix inequalities (LMI) instead of bilinear ones. Finally, a highly manoeuvrable aircraft technology (HiMAT) example, a DC-DC boost converter example, and a numerical example are investigated to show the practicability and efficiency of the obtained results.
在本文中，我们研究了具有传感器故障的切换系统的状态/故障估计以及基于观测器的控制问题。主要目标是估计传感器故障并补偿其对系统状态估计的影响，然后通过估计的状态反馈使切换系统稳定。应用模式依赖平均驻留时间（MDADT）概念和李雅普诺夫稳定性理论，提出了一种新的分离原理，该原理允许以线性矩阵不等式（LMI）而非双线性不等式的形式来规范基于观测器的控制器设计。最后，通过研究一个高机动性飞机技术（HiMAT）示例、一个DC-DC升压转换器示例以及一个数值示例，来展示所得结果的实用性和有效性。
