Digital sliding mode controller design for multiple time-delay continuous-time transfer function matrices with a long input-output delay

L. B. Xie, L. S. Shieh, C. Y. Wu, Jason Sheng-Hon Tsai, J. I. Canelon, M. Singla

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This paper extends the dominant eigenvector-based sliding mode control (SMC) design methodology, which was originally developed for delay-free continuous-time processes with known parameters, to the case of multiple time-delay continuous-time processes with known/unknown parameters. In addition, this paper presents a new prediction-based Chebyshev quadrature digital redesign methodology for indirect design of the digital counterpart of the analog sliding mode controller (ASMC) for multiple time-delay continuous-time transfer function matrices with either a long input delay or a long output delay. An approximated discrete-time model and its corresponding continuous-time model are constructed for multiple time-delay continuous-time stable/unstable dynamical processes with known/unknown parameters, using first the conventional observer/Kalman filter identification (OKID) method. Then, an optimal ASMC is developed using the linear quadratic regulator (LQR) approach, in which the corresponding sliding surface is designed using the user-specified eigenvectors and the scalar sign function. For digital implementation of the proposed non-augmented low-dimensional ASMC, a digital counterpart is designed based on the existing prediction-based digital redesign method and the newly developed prediction-based Chebyshev quadrature digital redesign method. Finally, a non-augmented low dimensional digital observer with a long input or output dead time is constructed for the implementation of the digitally redesigned sliding mode controller, to improve the performances of multiple time-delay dynamical processes. The effectiveness of the proposed method has been verified by means of two illustrative examples.

Original languageEnglish
Pages (from-to)78-93
Number of pages16
JournalJournal of Process Control
Volume25
DOIs
Publication statusPublished - 2015 Jan 1

Fingerprint

Multiple Time Delays
Digital Redesign
Delay Time
Sliding Mode
Controller Design
Transfer Function
Transfer functions
Continuous Time
Time delay
Controller
Controllers
Output
Analogue
Chebyshev
Eigenvalues and eigenfunctions
Quadrature
Unknown Parameters
Eigenvector
Observer
Prediction

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Industrial and Manufacturing Engineering

Cite this

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Digital sliding mode controller design for multiple time-delay continuous-time transfer function matrices with a long input-output delay. / Xie, L. B.; Shieh, L. S.; Wu, C. Y.; Tsai, Jason Sheng-Hon; Canelon, J. I.; Singla, M.

In: Journal of Process Control, Vol. 25, 01.01.2015, p. 78-93.

Research output: Contribution to journalArticle

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