数学物理学报(英文版)

• 论文 • 上一篇    下一篇

FLOATING QUANTIZATION EFFECTS ON MULTIRATE SAMPLED-DATA NONLINEAR CONTROL SYSTEMS

余宏旺; 汪志鸣   

  1. 华东师范大学数学系, 上海 200062
  • 收稿日期:2004-10-09 修回日期:2005-12-26 出版日期:2007-07-20 发布日期:2007-07-20
  • 通讯作者: 汪志鸣
  • 基金资助:

    Supported by National Natural Science Foundation of China (10671069) and the program of Shanghai Priority Academic Discipline.

FLOATING QUANTIZATION EFFECTS ON MULTIRATE SAMPLED-DATA NONLINEAR CONTROL SYSTEMS

Yu Hongwang; Wang Zhiming   

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2004-10-09 Revised:2005-12-26 Online:2007-07-20 Published:2007-07-20
  • Contact: Wang Zhiming

摘要:

In this article, floating quantization effects on multirate sampled-data control
systems are studied. It shows that the solutions of multirate digital feedback control systems with nonlinear plant and with floating quantization in the controller are uniformly ultimately bounded if the associated linear systems consisting of linearization of the plant and controller with no quantization are Schur stable. Moreover, it also shows that the difference between the response of multirate digital controllers without quantizers and the same plant with floating quantization in the controllers can be made as small as
desired by selecting proper quantization level.

关键词: Multirate sampled-data control systems, quantization, Schur stable, uniformly ultimately bounded

Abstract:

In this article, floating quantization effects on multirate sampled-data control
systems are studied. It shows that the solutions of multirate digital feedback control systems with nonlinear plant and with floating quantization in the controller are uniformly ultimately bounded if the associated linear systems consisting of linearization of the plant and controller with no quantization are Schur stable. Moreover, it also shows that the difference between the response of multirate digital controllers without quantizers and the same plant with floating quantization in the controllers can be made as small as
desired by selecting proper quantization level.

Key words: Multirate sampled-data control systems, quantization, Schur stable, uniformly ultimately bounded

中图分类号: 

  • 93C57