Robust Lookup Table Controller Based on Piecewise Multi-linear Model for Nonlinear Systems with Parametric Uncertainty

2018 ◽  
pp. 727-738 ◽  
Author(s):  
Tadanari Taniguchi ◽  
Michio Sugeno
Keyword(s):  
Nonlinear Systems ◽  
Linear Model ◽  
Parametric Uncertainty ◽  
Lookup Table

scholarly journals Time-Frequency Analysis of Nonlinear Systems: The Skeleton Linear Model and the Skeleton Curves

2003 ◽  
Vol 125 (2) ◽  
pp. 170-177 ◽  
Author(s):  
Lili Wang ◽  
Jinghui Zhang ◽  
Chao Wang ◽  
Shiyue Hu
Keyword(s):  
Nonlinear System ◽  
Nonlinear Systems ◽  
Linear Model ◽  
Frequency Analysis ◽  
Nonlinear Behavior ◽  
Time Frequency Analysis ◽  
Time Frequency ◽  
Vibration Data ◽  
Identification Technique ◽  
Stiffness And Damping

The joint time-frequency analysis method is adopted to study the nonlinear behavior varying with the instantaneous response for a class of S.D.O.F nonlinear system. A time-frequency masking operator, together with the conception of effective time-frequency region of the asymptotic signal are defined here. Based on these mathematical foundations, a so-called skeleton linear model (SLM) is constructed which has similar nonlinear characteristics with the nonlinear system. Two skeleton curves are deduced which can indicate the stiffness and damping in the nonlinear system. The relationship between the SLM and the nonlinear system, both parameters and solutions, is clarified. Based on this work a new identification technique of nonlinear systems using the nonstationary vibration data will be proposed through time-frequency filtering technique and wavelet transform in the following paper.

scholarly journals Robust control of nonlinear systems with parametric uncertainty

Automatica ◽  
2002 ◽  
Vol 38 (9) ◽  
pp. 1591-1599 ◽  
Author(s):  
Qian Wang ◽  
Robert F. Stengel
Keyword(s):  
Robust Control ◽  
Nonlinear Systems ◽  
Parametric Uncertainty
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