Linear modeling error and steady-state behaviour of nonlinear dynamical systems
被引:0
作者:
Schweickhardt, Tobias
论文数: 0引用数: 0
h-index: 0
机构:
Univ Stuttgart, Inst Syst Theory Engn, D-70550 Stuttgart, GermanyUniv Stuttgart, Inst Syst Theory Engn, D-70550 Stuttgart, Germany
Schweickhardt, Tobias
[1
]
Allgoewer, Frank
论文数: 0引用数: 0
h-index: 0
机构:
Univ Stuttgart, Inst Syst Theory Engn, D-70550 Stuttgart, GermanyUniv Stuttgart, Inst Syst Theory Engn, D-70550 Stuttgart, Germany
Allgoewer, Frank
[1
]
机构:
[1] Univ Stuttgart, Inst Syst Theory Engn, D-70550 Stuttgart, Germany
来源:
2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8
|
2005年
关键词:
best linear approximation;
nonlinear system;
nonlinearity measure;
sector nonlinearity;
D O I:
暂无
中图分类号:
TP [自动化技术、计算机技术];
学科分类号:
0812 ;
摘要:
We consider different measures of nonlinearity that quantify the modeling error of optimal linear models for nonlinear systems. We show that linear dynamic approximations have no advantage over linear static approximations for static nonlinear functions in any of the considered measures. Simplified formulae for scalar nonlinearities; are derived using the notion of a sector nonlinearity. We show that the steady state behaviour of a nonlinear system gives rise to a lower bound on the nonlinearity measures. Furthermore, some results for composite nonlinear systems are given.