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Global Regulation of a Chain of Integrators with an Unknown Delay in the Input via Reduced-order Observer Based Output Feedback with a Gain-scaling Factor

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  • Control Theory and Applications
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Abstract

In this study, we reanalyze the global regulation problem for an input-delayed chain of integrators by output feedback. Our main objective is to achieve the faster/improved system regulation over the existing result. We propose a reduced-order observer based output feedback controller with a dynamic gain-scaling factor to achieve our main objective. The key feature of our control method is a newly designed reduced-order observer coupled with a dynamic gain-scaling factor. We analytically show that the controlled system is regulated with improved performance over the existing result. An example is given for illustration.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Dong-A University, 840 Hadan2-Dong, Saha-gu, Busan, 49315, Korea

    Ji-Sun Park & Ho-Lim Choi

  2. Department of Fire Safety Management, Kyungnam College of Information and Technology, 45 Jurye-ro, Sasang-gu, Busan, Korea

    Sang-Young Oh

Authors
  1. Ji-Sun Park
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  2. Sang-Young Oh
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  3. Ho-Lim Choi
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Corresponding author

Correspondence to Ho-Lim Choi.

Additional information

This study was supported by research funds from Dong-A University.

Ji-Sun Park received her B.S.E. and M.S. degrees from the Department of Electrical Engineering, Dong-A University, Busan, Korea, in 2019 and 2021, respectively. She is currently working toward a Ph.D. degree. Her research interests are nonlinear control problems including robust controls, quadrotor, and autonomous driving control. She is a member of IEEE, ICROS, and KIEE.

Sang-Young Oh received his B.S.E., M.S., and Ph.D. degrees from the Department of Electrical Engineering, Dong-A University, Busan, Korea, in 2013, 2015, and 2020, respectively. He is an assistant professor at the Department of Fire Safety Management, Kyungnam College of Information and Technology. His research interests include nonlinear system control problems including optimal controls, feedback linearization problems, and time-delay issues. He is a member of IEEE, ICROS, and KIEE.

Ho-Lim Choi received his B.S.E. degree from the department of electrical engineering, The University of Iowa, USA, in 1996, and an M.S. degree, in 1999, and a Ph.D degree, in 2004, from KAIST, respectively. Currently, he is a professor at department of electrical engineering, Dong-A university, Busan. His research interests include the nonlinear control problems with emphasis on feedback linearization, gain scheduling, singular perturbation, output feedback, time-delay systems, and timeoptimal control. He is a senior member of IEEE.

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Park, JS., Oh, SY. & Choi, HL. Global Regulation of a Chain of Integrators with an Unknown Delay in the Input via Reduced-order Observer Based Output Feedback with a Gain-scaling Factor. Int. J. Control Autom. Syst. 20, 2868–2878 (2022). https://doi.org/10.1007/s12555-021-0543-9

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  • DOI: https://doi.org/10.1007/s12555-021-0543-9

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