Neural network-based digital redesign approach for PID control of unknown nonlinear multivariable systems

Jose I. Canelon, Leang S. Shieh, Richard C. Liu, Shu-Mei Guo

Research output: Contribution to journalArticle

Abstract

This paper presents a neural network-based digital redesign approach to design digital PID controllers for continuous-time noise-free nonlinear multivariable systems with known state dimension but unknown structures and parameters. Important features of the approach are: (i) it generalizes the existing optimal linearization approach to the models which are nonlinear in both the state and the input; (ii) it develops a neural network-based optimal linear state-space model for unknown nonlinear systems; (iii) it develops an inverse digital redesign approach for indirectly estimating an analog PID control law from a fast-rate optimal digital PID control law, without directly utilizing the analog models. This analog control law is then converted to a slow-rate digital PID control law via the prediction-based digital redesign method; (iv) it develops a linear time-varying piecewise-constant low-gain tracker which can be implemented using microprocessors. A nonlinear synchronous motor is utilized as a simulation example to demonstrate the effectiveness of the proposed methodology.

Original languageEnglish
Pages (from-to)401-432
Number of pages32
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume14
Issue number3
Publication statusPublished - 2007 Jun 1

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Digital Redesign
Multivariable systems
Multivariable Systems
PID Control
Three term control systems
Digital Control
Nonlinear Systems
Neural Networks
Analogue
Neural networks
Unknown
Optimal Rates
PID Controller
State-space Model
Microprocessor
Synchronous motors
Linear Space
Linearization
Microprocessor chips
Linear Time

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

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abstract = "This paper presents a neural network-based digital redesign approach to design digital PID controllers for continuous-time noise-free nonlinear multivariable systems with known state dimension but unknown structures and parameters. Important features of the approach are: (i) it generalizes the existing optimal linearization approach to the models which are nonlinear in both the state and the input; (ii) it develops a neural network-based optimal linear state-space model for unknown nonlinear systems; (iii) it develops an inverse digital redesign approach for indirectly estimating an analog PID control law from a fast-rate optimal digital PID control law, without directly utilizing the analog models. This analog control law is then converted to a slow-rate digital PID control law via the prediction-based digital redesign method; (iv) it develops a linear time-varying piecewise-constant low-gain tracker which can be implemented using microprocessors. A nonlinear synchronous motor is utilized as a simulation example to demonstrate the effectiveness of the proposed methodology.",
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Neural network-based digital redesign approach for PID control of unknown nonlinear multivariable systems. / Canelon, Jose I.; Shieh, Leang S.; Liu, Richard C.; Guo, Shu-Mei.

In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, Vol. 14, No. 3, 01.06.2007, p. 401-432.

Research output: Contribution to journalArticle

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