基于有限区域量化的系统稳定性分析与设计

针对基于输出反馈和具有有限区域信号量化的离散时间系统,进行了系统稳定性分析与量化参数设计的研究.首先,分别对状态观测误差系统和对象系统在有限区域对数量化作用下的系统渐近稳定性进行了分析,得到了相应的稳定性条件,接着针对对数型量化器,给出了两个系统稳定性之间的内在关联,同时得到了各有限区域量化器的量化区间上界值.在此基础上,得到了保证各子系统稳定的系统通信速率比值.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 and Quantization Parameters Design of Systems with Finite Quantizers

This paper is concerned with asymptotic stability analysis and quantization parameters design of discrete-time linear systems subject to output feedback and finite logarithmic quantizers. First, the asymptotic stability analysis and its corresponding stability conditions for observation error system and plant system are given, respectively. Then, the numerical relationships of stability between plant system and error system are presented explicitly under finite logarithmic quantizers. The upper bound interval value of each finite quantizers and their data rate ratio are achieved. Finally, a hybrid quantized control strategy based on state observation is proposed, and a numerical example is given.