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A generalised optimal linear quadratic tracker with universal applications. Part 2: discrete-time systems

Author

Listed:
  • Faezeh Ebrahimzadeh
  • Jason Sheng-Hong Tsai
  • Min-Ching Chung
  • Ying Ting Liao
  • Shu-Mei Guo
  • Leang-San Shieh
  • Li Wang

Abstract

Contrastive to Part 1, Part 2 presents a generalised optimal linear quadratic digital tracker (LQDT) with universal applications for the discrete-time (DT) systems. This includes (1) a generalised optimal LQDT design for the system with the pre-specified trajectories of the output and the control input and additionally with both the input-to-output direct-feedthrough term and known/estimated system disturbances or extra input/output signals; (2) a new optimal filter-shaped proportional plus integral state-feedback LQDT design for non-square non-minimum phase DT systems to achieve a minimum-phase-like tracking performance; (3) a new approach for computing the control zeros of the given non-square DT systems; and (4) a one-learning-epoch input-constrained iterative learning LQDT design for the repetitive DT systems.

Suggested Citation

  • Faezeh Ebrahimzadeh & Jason Sheng-Hong Tsai & Min-Ching Chung & Ying Ting Liao & Shu-Mei Guo & Leang-San Shieh & Li Wang, 2017. "A generalised optimal linear quadratic tracker with universal applications. Part 2: discrete-time systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 397-416, January.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:397-416
    DOI: 10.1080/00207721.2016.1186240
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    Cited by:

    1. Jiunn-Shiou Fang & Jason Sheng-Hong Tsai & Jun-Juh Yan & Chang-He Tzou & Shu-Mei Guo, 2019. "Design of Robust Trackers and Unknown Nonlinear Perturbation Estimators for a Class of Nonlinear Systems: HTRDNA Algorithm for Tracker Optimization," Mathematics, MDPI, vol. 7(12), pages 1-20, November.

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