Modified Wilson-theta Method under State Feedback and Its Calculation Stability

In this paper, using system's dynamic equilibrium equation to determine the imbalance component of calculation acceleration in Wilson-θ integration algorithm, then react to original system as feedback to revise the computational movement state. Two approaches are presented: to revise in lagged...

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Bibliographic Details
Published in:2013 Fourth International Conference on Digital Manufacturing & Automation pp. 797 - 800
Main Authors: Huang Qingfeng, Huang Qunxian
Format: Conference Proceeding
Language:English
Published: IEEE 01.06.2013
Subjects:
Acceleration
Accuracy
Asymptotic stability
deviation of movement state
Equations
equilibrium equation
feedback
Mathematical model
Numerical stability
stability
State feedback
Wilson-θ method
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Summary:In this paper, using system's dynamic equilibrium equation to determine the imbalance component of calculation acceleration in Wilson-θ integration algorithm, then react to original system as feedback to revise the computational movement state. Two approaches are presented: to revise in lagged time step, it would retain the unconditional stability of original method; to revise in real time, it would be conditional stability in case of θ≥1.37 and Δt ≥ 1 / √2π . As a contract, the situation of Newmark method is discussed also.
DOI:10.1109/ICDMA.2013.190