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, J. S.H. Tsai, J. I. Canelon, M. Singla

研究成果: Article同行評審

8 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)78-93
頁數16
期刊Journal of Process Control
25
DOIs
出版狀態Published - 2015 一月

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 建模與模擬
  • 電腦科學應用
  • 工業與製造工程

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