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H ∞ digital redesign for LTI systems

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  • Control Theory
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Abstract

The so-called digital redesign (DR) is a sampled-data (SD) controller design method where an analogue controller is designed firstly, and then transformed to an approximately equivalent digital controller in the sense of state-matching. In this approach, the SD controller is designed by reducing the discrepancy between the discrete-time (DT) counterpart of the closed-loop SD control system and the continuous-time (CT) closed-loop system. In this paper, we develop a DR strategy for CT linear time-invariant systems. More specifically, H ∞ norm of the error dynamic system between the CT and DT plants is minimized for the optimal state-matching performance at every sampling point. The design problem is formulated as linear matrix inequalities which can be efficiently solved by using convex optimization techniques. Finally, an example is given to illustrate the effectiveness of the proposed method.

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Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, 47906, USA

    Dong Hwan Lee

  2. Department of Control and Robotics Engineering, Kunsan National University, Kunsan, Chonbuk, 573-701, Korea

    Young Hoon Joo & Sung Kwan Kim

Authors
  1. Dong Hwan Lee
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Corresponding author

Correspondence to Young Hoon Joo.

Additional information

Dong Hwan Lee received his B.S. degree in Electronic Engineering from Konkuk University, Seoul, Korea, in 2008 and his M.S. degree in Electrical and Electronic Engineering, Yonsei University, Seoul, Korea, in 2010. From 2014, he is working toward a Ph.D. degree at the Department of Electrical and Computer Engineering, Purdue University, USA. He was the recipient of the Outstanding Paper Award in Graduate School of Yonsei University Thesis Award Fall 2010 and the recipient of the Student Paper Award in ICCAS 2010. He is an Associate Editor of IEEE Transactions on Fuzzy Systems. His current research interests include stability analysis in fuzzy systems, fuzzy-model-based control, and robust control of uncertain linear systems.

Young Hoon Joo received his B.S., M.S., and Ph.D. degrees in Electrical Engineering from Yonsei University, Seoul, Korea, in 1982, 1984, and 1995, respectively. He worked with Samsung Electronics Company, Seoul, Korea, from 1986 to 1995, as a project manager. He was with the University of Houston, Houston, TX, from 1998 to 1999, as a visiting professor in the Department of Electrical and Computer Engineering. He is currently a professor in the Department of Control and Robotics Engineering, Kunsan National University, Korea. His major interest is mainly in the field of intelligent robot, intelligent control, robot vision, human-robot interaction, wind farm control, and intelligent surveillance systems. He severed as President for Korea Institute of Intelligent Systems (KIIS) (2008–2009) and as the Vice-President for the Korean Institute of Electrical Engineers (KIEE) (2013–2014) and is serving as Editor-in-Chief for the Intelligent Journal of Control, Automation, and Systems (IJCAS) (2014-present).

Sung Kwan Kim received his B.S. and M.S. degrees from the School of Electronics and Information Engineering at Kunsan National University, Korea, in 2013 and 2015, respectively. He is currently working toward a Ph.D. degree at the Department of Control and Robotics Engineering from Kunsan National University, Korea. His research interests include intelligent surveillance system, robot vision, and human-robot interaction.

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Lee, D.H., Joo, Y.H. & Kim, S.K. H ∞ digital redesign for LTI systems. Int. J. Control Autom. Syst. 13, 603–610 (2015). https://doi.org/10.1007/s12555-014-0326-7

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  • DOI: https://doi.org/10.1007/s12555-014-0326-7

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