A new PI-based optimal linear quadratic state-estimate tracker for discrete-time non-square non-minimum phase systems

Jason Sheng Hong Tsai, Ying Ting Liao, Zih Wei Lin, Faezeh Ebrahimzadeh, Shu Mei Guo, Leang San Shieh, Jose I. Canelon

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

A new proportional–integral (PI)-based optimal linear quadratic state-estimate tracker, derived using a proportional–integral–derivative (PID) filter-based frequency-domain shaping approach, is proposed in this paper for discrete-time non-square non-minimum phase multi-input-multi-output systems. Subsequently, a new integrated PID filter-shaped optimal PI state estimator is presented for the aforementioned systems, so that both the proposed state estimator and the state-estimate tracker are able to achieve satisfactory minimum phase-like tracking performance, for the case of arbitrary command inputs with significant variations at some isolated time instants.

Original languageEnglish
Pages (from-to)1856-1877
Number of pages22
JournalInternational Journal of Systems Science
Volume49
Issue number9
DOIs
Publication statusPublished - 2018 Jul 4

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications

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