Markov跳变系统的未知输入观测器设计

Unknown Input Observer Design for Markov Jump Systems

本文对离散时间非线性Markov跳变系统研究了未知输入观测器(UIO)设计问题。所提出的未知输入观测器具有较为新颖的结构。在文中给出了基于Lyapunov函数的未知输入观测器设计的可行性条件,并将其转化为一组线性矩阵不等式(LMI)条件,便于利用软件的相关工具箱进行参数求解。最后通过对车辆横向动力学模型的数值仿真,验证了该方法的有效性与实用性。

The unknown input observer(UIO)design problem for discrete time nonlinear Markov jump systems is studied in this pa⁃per.The proposed unknown input observer has a relatively novel structure.In this paper,the feasibility conditions for the design of unknown input observer based on Lyapunov function are given,and the conditions are transformed into a set of linear matrix in⁃equality(LMI)conditions,which can be easily solved by using the related toolbox of the software.Finally,the effectiveness and practicability of the proposed method are verified by numerical simulation of vehicle lateral dynamics model.