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Genetic Algorithm Based Improved Sub-Optimal Model Reduction in Nyquist Plane for Optimal Tuning Rule Extraction of PID and PI{\lambda}D{\mu} Controllers via Genetic Programming

Authors
  • Das, Saptarshi
  • Pan, Indranil
  • Das, Shantanu
  • Gupta, Amitava
Type
Published Article
Publication Date
Feb 25, 2012
Submission Date
Feb 25, 2012
Identifiers
DOI: 10.1109/PACC.2011.5978962
Source
arXiv
License
Yellow
External links

Abstract

Genetic Algorithm (GA) has been used in this paper for a new Nyquist based sub-optimal model reduction and optimal time domain tuning of PID and fractional order (FO) PI{\lambda}D{\mu} controllers. Comparative studies show that the new model reduction technique outperforms the conventional H2-norm based reduced order modeling techniques. Optimum tuning rule has been developed next with a test-bench of higher order processes via Genetic Programming (GP) with minimum value of weighted integral error index and control signal. From the Pareto optimal front which is a trade-off between the complexity of the formulae and control performance, an efficient set of tuning rules has been generated for time domain optimal PID and PI{\lambda}D{\mu} controllers.

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