A Control Design Approach for Slowly Varying Second Order Linear Systems using Generalized Multiple Scales Method

2006 ◽  
Author(s):  
Go Tiauw Hiong
Keyword(s):  
Linear Systems ◽  
Multiple Scales ◽  
Control Design ◽  
Second Order ◽  
Multiple Scales Method ◽  
Design Approach ◽  
Order Linear

scholarly journals Perturbations of nonlinear autonomous oscillators

1994 ◽  
Vol 35 (4) ◽  
pp. 445-468 ◽  
Author(s):  
P. B. Chapman
Keyword(s):  
General Theory ◽  
Fourier Coefficients ◽  
Multiple Scales ◽  
Second Order ◽  
Multiple Scales Method ◽  
Suitable Parameter ◽  
Non Linear

AbstractA general theory is given for autonomous perturbations of non-linear autonomous second order oscillators. It is found using a multiple scales method. A central part of it requires computation of Fourier coefficients for representation of the underlying oscillations, and these coefficients are found as convergent expansions in a suitable parameter.

Sign in / Sign up

Export Citation Format

Share Document