具有量化误差的多步长非线性采样系统的镇定

Stabilization of Multi-rate Sampled-data Nonlinear Systems with Quantization

该文研究一类非线性控制系统在采样器采样过程中产生量化误差的情况下多步长采样镇定问题.运用近似DTD方法,在非线性系统的近似离散时间模型上设计全局状态反馈镇定控制器.当系统近似误差和采样量化溟差被限制在一定的条件下,可以得到含量化误差的多步长非线性采佯系统是半全局实用渐近稳定.最后,仿真例子验证了所得结果的有效性.

This paper investigates multi-rate sampled-data stabilization of nonlinear control systems while the sampler produces quantization during sampling. The approximate DTD method is employed to design a （globally） stabilized controller based on the approximate discrete-time models of the nonlinear plant. It is shown that the multi-rate sampled-data nonlinear control systems with quantization are guaranteed to be semi-globally practical asymptotically stable while the approximate error and quantization level are restricted by a certain error condition. A simulation example illustrates the validity of obtained results.