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基于Volterra级数的离散MIMO非线性闭环系统的稳定性
引用本文:方洋旺,焦李成,党映农,韩崇昭. 基于Volterra级数的离散MIMO非线性闭环系统的稳定性[J]. 控制理论与应用, 2001, 18(5): 741-744
作者姓名:方洋旺  焦李成  党映农  韩崇昭
作者单位:1. 西安电子科技大学
2. 西安交通大学电子与信息工程学院,
基金项目:国家自然科学基金 (696740 0 9)资助项目
摘    要:基于非线性传递函数矩阵的Volterra级数表示,利用多维Z变换,讨论了一类MIMO离散非线性系统的闭环稳定性,给出了直接利用开环稳定性来判别系统闭环稳定性的新方法,并用实例仿真来验证其有效性。

关 键 词:非线性闭环控制系统 稳定性 Volterra级数 MIMO
文章编号:1000-8152(2001)05-0741-04
收稿时间:1999-09-21
修稿时间:2000-06-02

Stability of Discrete MIMO Nonlinear Closed-Loop System Based on Volterra Series
FANG Yang-wang,JIAO Li-cheng,DANG Ying-nong and HAN Chong-zhao. Stability of Discrete MIMO Nonlinear Closed-Loop System Based on Volterra Series[J]. Control Theory & Applications, 2001, 18(5): 741-744
Authors:FANG Yang-wang  JIAO Li-cheng  DANG Ying-nong  HAN Chong-zhao
Affiliation:Key Lab for Radar Signal Processing, Xidian University, Xi'an,710071,P.R.China;Key Lab for Radar Signal Processing, Xidian University, Xi'an,710071,P.R.China;School of Electronic & Information Engineering, Xi'an Jiaotong University, Xi'an,710049, P.R.China;School of Electronic & Information Engineering, Xi'an Jiaotong University, Xi'an,710049, P.R.China
Abstract:Based on the Volterra series representation of nonlinear transfer function matrix, the stability of closed loop control systems for a class of MIMO discrete nonlinear control systems is discussed, and the new method for judging FDBIBO (BIBO stability in frequency domain) stability for the closed loop control system by using its open loop subsystem stability is proposed in this paper, and its validity is demonstrated by a simulation example.
Keywords:nonlinear transfer function matrix  MIMO discrete nonlinear control system  FDBIBO stability  
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