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

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

International Journal of Systems Science, 2017, vol. 48, issue 2, 397-416

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.

Date: 2017
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DOI: 10.1080/00207721.2016.1186240

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