基于状态观测的量化系统稳定性分析

针对基于状态观测和信号量化的线性系统,进行了稳定性分析与研究.首先对状态观测误差系统在量化作用下的渐近稳定性进行了分析,接着研究了对象系统本身在量化效应下的渐近稳定性,得到了相应的稳定性条件,同时针对对数型量化器,给出了两个系统稳定性之间的关联.最后,给出了在时变量化作用下基于状态观测的控制策略和仿真例子.

Stability analysis of systems with signal quantization and state observation

This paper is concerned with the asymptotic stability analysis of linear systems with signal quantization and state observation.First,the asymptotic stability analysis on error system under output feedback is given.Then,the same work is carried out to the plant system.The corresponding stability conditions are achieved and the relation of stability between plant system and error system is also presented explicitly under logarithmic type quantization.Finally,a hybrid quantized control strategy based on state observation is proposed,and a numerical example is given to illustrate the analysis approach.