Stability Analysis of Real-Time Hybrid Simulation with Time-Varying Delay through a Delay Decomposition Approach
Publication: Journal of Engineering Mechanics
Volume 146, Issue 10
Abstract
Stability of real-time hybrid simulation (RTHS) has attracted considerable attention given that actuator delay might destabilize the real-time test, especially when the compensation is not sufficient. Previous research by the authors explored the stability of RTHS with time-varying delay, but the derived stability criteria are relatively conservative due to the application of the Lyapunov-Krasovskii (L-K) theory. For overcoming such defect and pursuing a more accurate stability analysis, this study introduces a delay decomposition approach to reduce the conservatism of matrix inequality with convexity property. For both constant- and time-varying delay systems, the delay decomposition approach performed remarkably in stability analysis. Moreover, with the increase in number of decomposition, this approach can further improve the accuracy of analysis results and reduce its conservatism; however, the computational efforts will rise rapidly. Computational simulation verified the effectiveness of the delay decomposition approach especially for the physical substructure involving a small stiffness ratio.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request, including all data, models and code.
Acknowledgments
The research described in this paper was financially supported by the National Natural Science Foundation of China, No. 51678147, and the Fundamental Research Funds for the Central Universities, No. JZ2020HGQA0203.
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 10 • October 2020
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© 2020 American Society of Civil Engineers.
History
Received: Nov 7, 2019
Accepted: Apr 24, 2020
Published online: Jul 16, 2020
Published in print: Oct 1, 2020
Discussion open until: Dec 16, 2020
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