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不确定离散系统的峰峰增益优化:矩阵不等式方法

嵇小辅 苏宏业 褚健

嵇小辅, 苏宏业, 褚健. 不确定离散系统的峰峰增益优化:矩阵不等式方法. 自动化学报, 2007, 33(7): 753-756. doi: 10.1360/aas-007-0753
引用本文: 嵇小辅, 苏宏业, 褚健. 不确定离散系统的峰峰增益优化:矩阵不等式方法. 自动化学报, 2007, 33(7): 753-756. doi: 10.1360/aas-007-0753
JI Xiao-Fu, SU Hong-Ye, CHU Jian. Peak-to-Peak Gain Minimization for Uncertain Linear Discrete Systems: A Matrix Inequality Approach. ACTA AUTOMATICA SINICA, 2007, 33(7): 753-756. doi: 10.1360/aas-007-0753
Citation: JI Xiao-Fu, SU Hong-Ye, CHU Jian. Peak-to-Peak Gain Minimization for Uncertain Linear Discrete Systems: A Matrix Inequality Approach. ACTA AUTOMATICA SINICA, 2007, 33(7): 753-756. doi: 10.1360/aas-007-0753

不确定离散系统的峰峰增益优化:矩阵不等式方法

doi: 10.1360/aas-007-0753
详细信息
    通讯作者:

    嵇小辅

Peak-to-Peak Gain Minimization for Uncertain Linear Discrete Systems: A Matrix Inequality Approach

More Information
    Corresponding author: JI Xiao-Fu
  • 摘要: A matrix inequality approach to peak-to-peak gain minimization for a class of uncertain linear discrete systems is studied. We minimize the ﹡-norm, which is the best upper bound on the induced L∞ norm obtained by bounding the reachable set with inescapable ellipsoids, instead of minimizing the induced L∞ norm directly. Based on this idea, the problems of robust peak-to-peak gain minimization and controller synthesis are reduced to solving the feasibility problems of a set of matrix inequalities. A numerical example is used to demonstrate the feasibility and effectiveness of the presented method.
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出版历程
  • 收稿日期:  2005-11-11
  • 修回日期:  2006-03-08
  • 刊出日期:  2007-07-20

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