Observer Design and Unknown Input Reconstruction for a Class of Switched Descriptor Systems
针对一类具有未知输入的切换广义系统,提出了一种切换降阶观测器来渐进估计系统状态,并利用高阶滑模观测器重构未知输入,通过两个例子验证了方法的有效性。
This correspondence paper is concerned with observer design problems for a class of unknown input switched descriptor systems under average dwell time switching signals. The switched descriptor system under consideration is first transformed into a general switched linear system, and then a switched reduced-order observer that can asymptotically estimate the system state without suffering the influence from the unknown inputs is developed. Besides, a high-order sliding mode observer is introduced to obtain the estimations of the output derivatives by using the system measured outputs. On the basis of estimations of the states and output derivatives, an unknown input reconstructing method is provided. Finally, two examples are presented to verify the effectiveness of the proposed approaches.