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Near-optimal tracking control for discrete-time systems with delayed input

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Abstract

This paper considers the near-optimal tracking control problem for discrete-time systems with delayed input. Using a variable transformation, the system with delayed input is transformed into a non-delayed system, and the quadratic performance index of the optimal tracking control is transformed into a relevant format. The optimal tracking control law is constructed by the solution of a Riccati matrix equation and a Stein matrix equation. A reduced-order observer is constructed to solve the physically realizable problem of the feedforward compensator and a near-optimal tracking control is obtained. Simulation results demonstrate the effectiveness of the optimal tracking control law.

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Authors and Affiliations

  1. College of Information Science and Engineering, Ocean University of China, Qingdao, 266100, China

    Shi-Yuan Han, Gong-You Tang & Cheng-Ming Zhang

Authors
  1. Shi-Yuan Han
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  2. Gong-You Tang
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  3. Cheng-Ming Zhang
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Corresponding author

Correspondence to Gong-You Tang.

Additional information

Recommended by Editorial Board member Shengyuan Xu under the direction of Editor Young Il lee. This work was supported by the National Natural Science Foundation of China (Grants No. 40776051, 40806040) and the Key Natural Science Foundation of Shandong Province (Grant No. Z2005G01).

Shi-Yuan Han received his M.S. degree from the College of Information Science and Engineering, Ocean University of China. Since September 2009, he has been pursuing his Ph.D. degree at the same university. His main research interests include analysis and control for time-delay systems and networked control systems.

Gong-You Tang received his Ph.D. degree in Control Theory and Applications from the South China University of Technology, P. R. China in 1991. He is a Professor at the College of Information Science and Engineering at the Ocean University of China, Qingdao, P. R. China. He is the Editor of the Journal of the Ocean University of China and Control and the Instruments in Chemical Industry. His research interests are in the areas of nonlinear systems, delay systems, large-scale systems, and networked control systems, with emphasis in optimal control, robust control, fault diagnosis and stability analysis.

Cheng-Ming Zhang received his M.S. degree from the College of Information Science and Engineering, Ocean University of China. Since September 2008, he has been pursuing his Ph.D. degree at the same university. His main research interests include computer control, analysis and control for nonlinear systems, and optimal control.

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Han, SY., Tang, GY. & Zhang, CM. Near-optimal tracking control for discrete-time systems with delayed input. Int. J. Control Autom. Syst. 8, 1330–1335 (2010). https://doi.org/10.1007/s12555-010-0619-4

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  • DOI: https://doi.org/10.1007/s12555-010-0619-4

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