Optimal digital design of hybrid uncertain systems using genetic algorithms

L. S. Shieh, W. Wang, Jason Sheng-Hon Tsai

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The paper presents a time-domain design methodology for optimal digital design of multivariable sampled-data parametric uncertain systems using genetic algorithms (GAs). A continuous-time parametric uncertain plant, cascaded with an analogue parametric uncertain prefilter is formulated by means of multiple linear cascaded continuous-time nominal models, generated from the perturbed system and prefilter parameters via the GAs. For each linear cascaded analogue nominal model, an optimal analogue controller with regional eigenvalue placement is designed. Then, a new digital redesign method, taking into account the closed-loop intersample behaviour, is developed to convert the optimal analogue controller into a PAM or PWM digital controller for digital control of the continuous-time plant cascaded with a digitized prefilter. The global optimization searching technique provided in GAs is employed to determine the digital interval plant, prefilter and controller from the obtained respective multiple linear digital models for finding the ranges of their respective implementation errors. As a result, the obtained digital models and controller perfected by the design engineer can be practically implemented. Also, the searching technique is utilized to redetermine the practically implementable optimal PAM or PWM digital controller cascaded with a digital prefilter for optimal digital control of the multivariable sampled-data parametric uncertain system.

Original languageEnglish
Pages (from-to)119-130
Number of pages12
JournalIEE Proceedings: Control Theory and Applications
Volume146
Issue number2
DOIs
Publication statusPublished - 1999 Mar 1

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uncertain systems
Uncertain systems
genetic algorithms
controllers
Genetic algorithms
Controllers
analogs
pulse amplitude modulation
Pulse amplitude modulation
pulse duration modulation
Pulse width modulation
Global optimization
engineers
eigenvalues
methodology
intervals
Engineers
optimization

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Instrumentation
  • Electrical and Electronic Engineering

Cite this

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Optimal digital design of hybrid uncertain systems using genetic algorithms. / Shieh, L. S.; Wang, W.; Tsai, Jason Sheng-Hon.

In: IEE Proceedings: Control Theory and Applications, Vol. 146, No. 2, 01.03.1999, p. 119-130.

Research output: Contribution to journalArticle

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