Computing the distance between a nonlinear model and its linear approximation:: an L2 approach

被引：11
作者：
Kihas, D [1 ]
Marquez, HJ [1 ]
机构：
[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
来源：
COMPUTERS & CHEMICAL ENGINEERING | 2004年 / 28卷 / 12期
关键词：
nonlinear model; linearization; Hamilton-Jacobi inequality; input-output stability; input-to-state stability;
D O I：
10.1016/j.compchemeng.2004.08.002
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we consider the following problem: viewing both a nonlinear system model and its linearization as mappings from input-to-state, we define the error between the state of the original nonlinear system and that of the linearization and find the region of the state space where this error is norm-bounded, in the integral-square (or L-2-norm) sense. Using the Hamilton-Jacobi inequality we define the distance between these two systems as the upper bound of this error. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2659 / 2666
页数：8
相关论文
共 21 条
  • [1] ALLGOWER FA, 2004, 951 STUTTG U
  • [2] [Anonymous], 1996, NONLINEAR SYSTEM
  • [3] Linear control of nonlinear systems: Interplay between nonlinearity and feedback
    Eker, SA
    Nikolaou, M
    [J]. AICHE JOURNAL, 2002, 48 (09) : 1957 - 1980
  • [4] EKER SA, 2003, COMPUT CHEM ENG, V27, P1043
  • [5] GUAY M, 1995, CANADIAN J CHEM ENG, V73
  • [6] GUAY M, 1997, AICHE J, V43
  • [7] Guay M., 1996, THESIS QUEENS U KING
  • [8] Nonlinearity measures:: definition, computation and applications
    Helbig, A
    Marquardt, W
    Allgöwer, F
    [J]. JOURNAL OF PROCESS CONTROL, 2000, 10 (2-3) : 113 - 123
  • [9] HELBIG A, 1998, P IFAC S DYCOPS 5 CO
  • [10] HERNJAK N, 2002, CONTROL RELEVANT CHA
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