Two-scale command shaping for feedforward control of nonlinear systems

This paper presents a critical analysis of the two-scale command shaping (TSCS) feedforward control technique as applied to nonlinear Duffing oscillators. TSCS is an approach for tailoring a flexible system’s applied control input to reduce undesirable residual vibrations using multiple problem scal...

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Bibliographic Details
Published inNonlinear dynamics Vol. 92; no. 3; pp. 885 - 903
Main Authors Wilbanks, J. Justin, Adams, Christopher J., Leamy, Michael J.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.05.2018
Springer Nature B.V
Subjects
Automotive Engineering
Classical Mechanics
Control
Control systems
Control theory
Coulomb friction
Damping
Duffing oscillators
Dynamical Systems
Engineering
Feedforward control
Filtration
Kalman filters
Mechanical Engineering
Nonlinear control
Nonlinear systems
Nonlinearity
Original Paper
Parameter estimation
Parameter uncertainty
System effectiveness
Vibration
Feedforward control
Command shaping
Nonlinear
Kalman filtering
Perturbation
Multiple scale
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Summary:This paper presents a critical analysis of the two-scale command shaping (TSCS) feedforward control technique as applied to nonlinear Duffing oscillators. TSCS is an approach for tailoring a flexible system’s applied control input to reduce undesirable residual vibrations using multiple problem scales, command shaping of a linear subproblem, and cancelation of a remaining nonlinear subproblem. As shown herein, TSCS proves to be an effective method for feedforward control of nonlinear systems. The strategy outperforms conventional and nonlinearly informed command shaping strategies in traditional and non-traditional Duffing systems (e.g., Duffing systems with quadratic nonlinearity and Coulomb damping). The TSCS approach is also extended herein to nonlinear systems with uncertain parameters through the implementation of robust command shaping strategies and the extended Kalman filtering parameter estimation technique.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-018-4098-0