A modified functional observer-based EID estimator for unknown sampled-data singular systems

Jason Sheng-Hon Tsai, Chia Yuan Chang, Yang Fang Chen, Shu-Mei Guo, Leang San Shieh, Jose I. Canelon

Research output: Contribution to journalArticle

Abstract

This paper presents both an observer/Kalman filter identification (OKID) method-based linear quadratic digital tracker (LQDT) and a new functional observer-based discrete equivalent input disturbance (EID) estimator, for unknown square/non-square singular sampled-data systems with unknown input and output disturbances. Initially, it is shown that even if the solution of the impulsive mode-free singular linear quadratic tracker problem exists, under some quite general conditions the tracker-based generalised algebraic Riccati equation (GARE) might have no solution. To overcome this issue, an innovative methodology that involves an introduced reduced-order equivalent proper regular model (EPRM) of the singular system is presented, to make the tracker-based GARE solvable for a wide class of servo control problems for a singular system. Furthermore, a new functional observer-based design methodology for the discrete EID estimator of the discrete EPRM is proposed in this paper, for a proper sampled-data system with unknown matched/mismatched input and output disturbances. Finally, a discrete-time EPRM of the unknown singular sampled-data system is constructed using the off-line OKID method and the robust prediction-based state-estimate optimal LQDT, associated with the (plug-in) discrete EID estimator, is developed for the singular sampled-data system.

Original languageEnglish
Pages (from-to)1976-2001
Number of pages26
JournalInternational Journal of Systems Science
Volume50
Issue number10
DOIs
Publication statusPublished - 2019 Jan 1

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Sampled-data Systems
Singular Systems
Observer
Riccati equations
Disturbance
Estimator
Kalman filters
Unknown
Identification (control systems)
Algebraic Riccati Equation
Kalman Filter
Linear Quadratic Problem
Unknown Inputs
Singular Problems
Output
Plug-in
Design Methodology
Control Problem
Discrete-time
Model

All Science Journal Classification (ASJC) codes

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

Cite this

Tsai, Jason Sheng-Hon ; Chang, Chia Yuan ; Chen, Yang Fang ; Guo, Shu-Mei ; Shieh, Leang San ; Canelon, Jose I. / A modified functional observer-based EID estimator for unknown sampled-data singular systems. In: International Journal of Systems Science. 2019 ; Vol. 50, No. 10. pp. 1976-2001.
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A modified functional observer-based EID estimator for unknown sampled-data singular systems. / Tsai, Jason Sheng-Hon; Chang, Chia Yuan; Chen, Yang Fang; Guo, Shu-Mei; Shieh, Leang San; Canelon, Jose I.

In: International Journal of Systems Science, Vol. 50, No. 10, 01.01.2019, p. 1976-2001.

Research output: Contribution to journalArticle

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