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Research of Lyapunov-theory-based Adaptive Control Improving on Smith Predictor Methods in Time-delay Systems


We report on Lyapunov-theory-based model reference adaptive control schemes for improvement of Smith predictor methods applied to automatic control of time-delay systems. The theoretical analysis is carried out for first order plant models, and the Lyapunov-based adaptive control laws are derived. We also provide digital calculation methods and present numerical simulation results to verify this proposal. It is evident that the combination of Smith predictor methods and adaptive control improves the control performance of time-delay systems and prevents the system instability due to the parameter mismatches between the Smith predictor model and the real plant.

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Correspondence to Yangdong Zheng.

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This work was supported in part by Grants-in-Aid for the basic research and development of Mitsubishi Electric (China) Company Limited.

Yangdong Zheng received his B.S. degree in electronic engineering from Shanghai University, Shanghai, China, and his M.S. and Ph.D. degrees in electronic physics from Tokyo Institute of Technology, Tokyo, Japan, in 2004 and 2008, respectively. He is currently a professorial senior engineer at the Research and Development Department of Mitsubishi Electric (China) Company Limited. His research interests include adaptive control, intelligent control, robust and nonlinear control, fuzzy control, electronics, and quantum physics.

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Zheng, Y. Research of Lyapunov-theory-based Adaptive Control Improving on Smith Predictor Methods in Time-delay Systems. Int. J. Control Autom. Syst. 20, 3177–3186 (2022).

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  • Adaptive control
  • Lyapunov design approach
  • Smith predictor
  • time-delay systems