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Authors: N. Pillay and P. Govender

Affiliation: Durban Univeristy of Technology, South Africa

Keyword(s): Achievable Performance, Minimum Output Variance, Hybrid Optimization, PID Controller, SISO System.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Hybrid Intelligent Systems ; Industrial Applications of AI ; Soft Computing

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.

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Paper citation in several formats:
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; ISSN 2184-433X, SciTePress, pages 330-337. DOI: 10.5220/0004263403300337

@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},
issn={2184-433X},
}

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
IS - 2184-433X
AU - Pillay, N.
AU - Govender, P.
PY - 2013
SP - 330
EP - 337
DO - 10.5220/0004263403300337
PB - SciTePress