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

作　　者：余宏旺[1] 汪志鸣[2,3] 张宝善[1] 

机构地区：[1]南京审计学院数学与统计学院,南京211815 [2]华东师范大学数学系,上海200241 [3]华东师范大学数学系应用数学与交叉科学中心,上海200062

出　　处：《数学物理学报（A辑）》2012年第1期13-26,共14页Acta Mathematica Scientia

基　　金：国家自然科学基金(10671069);上海市重点学科项目(B407);南京审计学院微分方程理论与应用硕士点建设基金(202720035)资助

摘　　要：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.

关 键 词：多步长采样 量化误差 半全局实用渐近稳定. 

分 类 号：O211.4[理学—概率论与数理统计]