A generalised optimal linear quadratic tracker with universal applications - part 1: continuous-time systems

作者：Ebrahimzadeh Faezeh; Tsai Jason Sheng Hong^*; Liao Ying Ting; Chung Min Ching; Guo Shu Mei^*; Shieh Leang San; Wang Li

来源：International Journal of Systems Science, 2017, 48(2): 376-396.

DOI：10.1080/00207721.2016.1186239

• Optimal linear quadratic servomechanism
• optimal iterative learning control
• frequency shaping
• PID controller
• input constraint
• non-minimum phase system
• control zeros

This paper presents a generalised optimal linear quadratic analog tracker (LQAT) with universal applications for the continuous-time (CT) systems. This includes: (1) a generalised optimal LQAT 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-feed through term and known/estimated system disturbances or extra input/output signals; (2) a new optimal filter-shaped proportional plus integral state-feedback LQAT design for non-square non-minimum phase CT systems to achieve a minimum phase-like tracking performance; (3) a new approach for computing the control zeros of the given non-square CT system; and (4) a one-learning-epoch input-constrained iterative learning LQAT design for the repetitive CT system.

• 出版日期2017