Analog/digital PID-based sliding-mode controller design for nonlinear processes with long time delays

L. B. Xie, L. S. Shieh, Jason Sheng-Hon Tsai, F. Ebrahimzadeh, J. I. Canelon

Research output: Contribution to journalArticle

Abstract

This paper presents a methodology for the design of a cascaded analog/digital proportional-integral-derivative (PID)-based sliding-mode controller for continuous-time multivariable linear/nonlinear processes with long time delays. The optimal linear model (OLM) for an input/output time-delay nonlinear system is utilized to design the analog controller by using the dominant pole-assignment and the linear quadratic regulator (LQR) approaches. The Chebyshev quadrature digital redesign method is extended to convert the designed analog controller into the digital counterpart. Thus, the developed controllers exhibit the advantages of both the PID and sliding mode controllers regarding the tracking, robustness, and computer control of real processes affected by bounded uncertainties, unmodeled dynamics and disturbances. Furthermore, the ideal state reconstruction methods are newly developed for the input/output time-delay plants from the input-output data. Thus, the state-feedback controller can be designed for the input/output time-delay plant with in-accessible states. Two illustrative examples are given to show the proposed method.

Original languageEnglish
Pages (from-to)1-24
Number of pages24
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume25
Issue number1
Publication statusPublished - 2018 Jan 1

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Nonlinear Process
Sliding Mode
Controller Design
Time Delay
Time delay
Directly proportional
Derivatives
Analogue
Controller
Derivative
Controllers
Output
Digital Redesign
Nonlinear Time-delay Systems
Pole Assignment
Unmodeled Dynamics
Linear Process
Computer control
Chebyshev
State feedback

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

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abstract = "This paper presents a methodology for the design of a cascaded analog/digital proportional-integral-derivative (PID)-based sliding-mode controller for continuous-time multivariable linear/nonlinear processes with long time delays. The optimal linear model (OLM) for an input/output time-delay nonlinear system is utilized to design the analog controller by using the dominant pole-assignment and the linear quadratic regulator (LQR) approaches. The Chebyshev quadrature digital redesign method is extended to convert the designed analog controller into the digital counterpart. Thus, the developed controllers exhibit the advantages of both the PID and sliding mode controllers regarding the tracking, robustness, and computer control of real processes affected by bounded uncertainties, unmodeled dynamics and disturbances. Furthermore, the ideal state reconstruction methods are newly developed for the input/output time-delay plants from the input-output data. Thus, the state-feedback controller can be designed for the input/output time-delay plant with in-accessible states. Two illustrative examples are given to show the proposed method.",
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Analog/digital PID-based sliding-mode controller design for nonlinear processes with long time delays. / Xie, L. B.; Shieh, L. S.; Tsai, Jason Sheng-Hon; Ebrahimzadeh, F.; Canelon, J. I.

In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, Vol. 25, No. 1, 01.01.2018, p. 1-24.

Research output: Contribution to journalArticle

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