美国麻省理工大学：《航空系统的估计与控制》教学资源（讲义）Handout 15：Describing functions

Handout 15: Describing functions. Introduction Eric feron March 3 1. 2004 General Philosophy General reponse of arbitrary nonlinear systems is somewhat complicated We usually know the systems we work with Work with finite families of 'most likely responses

Handout 15: Describing functions, Introduction Eric Feron March 31, 2004 General Philosophy General reponse of arbitrary nonlinear systems is somewhat complicated. We usually know the systems we work with. Work with finite families of ’most likely responses’. 1

Typical most likely responses Sinusoidal Bias -almost 'constant ' signa 2

Typical most likely responses: Sinusoidal Bias ­ almost ’constant’ signals 2

Typical most likely responses Slow signals fast oscillations 3

Typical most likely responses: Slow signals + fast oscillations 3

The filtering idea Basic principles for working with'most likely responses Rayleigh-Ritz approximations 4

The filtering idea Basic principles for working with ’most likely responses ’Rayleigh­Ritz approximations’ 4