Constrained Minimum-Variance PID Control using Hybrid Nelder-Mead Simplex and Swarm Intelligence

N. Pillay, P. Govender

Abstract

The paper proposes the use of an efficient hybrid optimization routine by combining Nelder-Mead simplex with Particle Swarm algorithm (NMPSO) to synthesize a proportional-integral-derivative (PID) type controller. The conceived controller is capable of providing the best possible performance for regulating stochastic disturbances under closed loop conditions. A global optimal solution is found by exploiting the process output variance expression in terms of its closed loop impulse response coefficients. The results of which are used to define an achievable lower bound of the PID performance in terms of the output variance of the closed loop system. Several simulation examples drawn from literature are used to demonstrate the efficacy of the proposed methodology.

References

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Paper Citation


in Harvard Style

Pillay N. and Govender P. (2013). Constrained Minimum-Variance PID Control using Hybrid Nelder-Mead Simplex and Swarm Intelligence . In Proceedings of the 5th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART, ISBN 978-989-8565-39-6, pages 330-337. DOI: 10.5220/0004263403300337


in Bibtex Style

@conference{icaart13,
author={N. Pillay and P. Govender},
title={Constrained Minimum-Variance PID Control using Hybrid Nelder-Mead Simplex and Swarm Intelligence},
booktitle={Proceedings of the 5th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,},
year={2013},
pages={330-337},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004263403300337},
isbn={978-989-8565-39-6},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 5th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,
TI - Constrained Minimum-Variance PID Control using Hybrid Nelder-Mead Simplex and Swarm Intelligence
SN - 978-989-8565-39-6
AU - Pillay N.
AU - Govender P.
PY - 2013
SP - 330
EP - 337
DO - 10.5220/0004263403300337