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Explicit input and output feedback control for discrete-time systems

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  • Control Theory
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Abstract

A new form of output feedback control, referred herein as explicit input and output feedback control (EIOC), is proposed for linear discrete-time systems. Unlike the conventional dynamic output feedback control described by a state-space model, the proposed EIOC has a batch form, where current control is explicitly expressed using current and past system outputs and past control inputs over a recent time horizon. The paper formulates the EIOC law and discusses its features and desirable characteristics. The EIOC is shown to be equivalent to static output feedback control for an augmented system. The coefficients of the EIOC are obtained to achieve the H ∞ performance criterion. Finally, numerical examples are presented to illustrate the effectiveness of the EIOC.

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Authors and Affiliations

  1. School of Electrical Engineering, Inha University, Inchon, Korea

    Young Sam Lee

  2. Department of Computer Science, San Diego State University, San Diego, CA, USA

    Mahmoud Tarokh

  3. Department of Electrical Engineering, Konkuk University, Seoul, Korea

    Soohee Han

Authors
  1. Young Sam Lee
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  2. Mahmoud Tarokh
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  3. Soohee Han
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Corresponding author

Correspondence to Soohee Han.

Additional information

Recommended by Editorial Board member Shengyuan Xu under the direction of Editor Myotaeg Lim.

This research was supported by an INHA Research Grant and was also supported by the MKE (The Ministry of Knowledge Economy), Korea, under the Industrial Convergence Technology Development Program (10040132) and the CITRC (Convergence Information Technology Research Center) support program (NIPA-2012-H0401-12-1007) supervised by the NIPA(National IT Industry Promotion Agency). The authors also wish to express their deepest gratitude towards the reviewers for making comments on this work.

Young Sam Lee received his B.S. and M.S. degrees in Electrical Engineering from Inha University, Inchon, Korea, in 1997 and 1999, respectively. He received his Ph.D. at the School of Electrical Engineering and Computer Science from Seoul National University, Seoul, Korea, in 2003. His research interests include time delay systems, receding horizon control, signal processing, mechatronics, and embedded systems. He is currently with the School of Electrical Engineering, Inha University, Inchon, Korea.

Mahmoud Tarokh is a professor of computer science and the director of Intelligent Machines and Systems Laboratory, Department of Computer Sciences, San Diego State University (SDSU), California, U.S.A. Prior to joining SDSU he held academic positions at University of California, San Diego, University of New Mexico and Sharif University of Technology, Iran. He has published extensively in the areas of robot path planning, rover kinematics, intelligent robotics system and control, as well as linear systems theory. He has also conducted a number of research projects sponsored by government agencies and industries, notable among them National Aeronautics and Space Administration (NASA), Department of Defense, and National Science Foundation.

Soohee Han received his B.S. degree in Electrical Engineering from Seoul National University, Seoul, Korea in 1998. He received his M.S. and Ph.D. degrees in School of Electrical Engineering and computer science from Seoul National University, in 2000 and 2003, respectively. From 2003 to 2007, he was a researcher at the Engineering Research Center for Advanced Control and Instrumentation of Seoul National University. In 2008, he was a senior researcher at the robot S/W research center. Since 2009, he has been with the Department of Electrical Engineering, Konkuk University, Seoul, Korea. His main research interests are in the areas of computer aided control system design, distributed control system, time delay system, and stochastic signal processing. He is currently an Associated Editor of International Journal of Control, Automation, and Systems, and Journal of Electrical Engineering & Technology. In 2012, he was a Guest Editor of Mathematical Problems in Engineering for optimal control problems in engineering. He served as the financial chair of IFAC and ICCAS for 2008 and 2012, respectively.

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Lee, Y.S., Tarokh, M. & Han, S. Explicit input and output feedback control for discrete-time systems. Int. J. Control Autom. Syst. 11, 482–488 (2013). https://doi.org/10.1007/s12555-012-0362-0

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  • DOI: https://doi.org/10.1007/s12555-012-0362-0

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