切换系统激活模式辨识和有限时间状态估计  

Active Mode Identification and Finite Time Estimation For Switched Linear Systems

作　　者：杨俊起[1] 吴琛[1] YANG Jun-qi;WU Chen(School of Electrical Engineering and Automation,Henan Polytechnic University,Jiaozuo 454000,China)

机构地区：[1]河南理工大学电气工程与自动化学院,河南焦作454000

出　　处：《控制工程》2020年第3期493-499,共7页Control Engineering of China

基　　金：国家自然科学基金项目(61403129);河南理工大学基本科研业务费专项项目(NSFRF180335);河南省高等学校青年骨干教师资助项目(2015GGJS-064)。

摘　　要：针对一类具有未知输入的不确定线性切换系统,考虑并利用有限时间观测器解决其激活模式辨识和有限时间状态估计问题。首先,利用状态和输出变换得到解耦未知输入的降维切换系统。其次,为每一个降维子系统设计一个对应的有限时间观测器,并对降维系统与观测器系统输出的残差范数进行最小化,从而提出一种激活模式辨识的方法。然后,通过有限时间观测器设置任意小的时间参数,实现了对降维解耦切换系统的有限时间状态估计,同时利用状态等价变化的方法得到原系统的有限时间状态估计。最后,通过MATLAB仿真验证了所提方法的可靠性。This paper discusses the issue of finite time state estimation for a switched linear system with unknown inputs and the switching signal, where the active modes of the switched system are unknown. First, both state and output transformations are used to deal with unknown inputs, and a reduced-order switched system that removes the influence of unknown inputs is constructed. Second, for each reduced-order subsystem, a corresponding finite time observer is designed, and a kind of active mode identification method is proposed by minimizing the output residual norm. Then, based on the finite time observer, the state estimation of a reduced-order decoupled system can be obtained by choosing any small time parameters in finite time. The finite time state estimation of the original system can be got by using state equivalent transformation. Finally, a MATLAB simulation is given to verify the reliability of the proposed method.

关 键 词：切换系统 有限时间观测器 模式辨识 状态估计 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]