Particle Swarm Optimization Stability Analysis

Particle Swarm Optimization Stability Analysis

Bibliographic Details
Main Author: Djaneye-Boundjou, Ouboti Seydou Eyanaa
Language:English
Published: University of Dayton / OhioLINK 2013
Subjects:
Electrical Engineering
Particle Swarm Optimization
discrete-time adaptive control
stability analysis
Lyapunov direct method
LaSalle-Yoshizawa theorem
function approximation
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=dayton1386413941
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-dayton13864139412021-08-03T06:21:06Z Particle Swarm Optimization Stability Analysis Djaneye-Boundjou, Ouboti Seydou Eyanaa Electrical Engineering Particle Swarm Optimization discrete-time adaptive control stability analysis Lyapunov direct method LaSalle-Yoshizawa theorem function approximation Optimizing a multidimensional function -- uni-modal or multi-modal -- is a problem that regularly comes about in engineering and science. Evolutionary Computation techniques, including Evolutionary Algorithm and Swarm Intelligence (SI), are biological systems inspired search methods often used to solve optimization problems. In this thesis, the SI technique Particle Swarm Optimization (PSO) is studied. Convergence and stability of swarm optimizers have been subject of PSO research. Here, using discrete-time adaptive control tools found in literature, an adaptive particle swarm optimizer is developed. An error system is devised and a controller is designed to adaptively drive the error to zero. The controller features a function approximator, used here as a predictor to estimate future signals. Through Lyapunov's direct method, it is shown that the devised error system is ultimately uniformly bounded and the adaptive optimizer is stable. Moreover, through LaSalle-Yoshizawa theorem, it is also shown that the error system goes to zero as time evolves. Experiments are performed on a variety of benchmark functions and results for comparison purposes between the adaptive optimizer and other algorithms found in literature are provided. 2013 English text University of Dayton / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=dayton1386413941 http://rave.ohiolink.edu/etdc/view?acc_num=dayton1386413941 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Electrical Engineering
Particle Swarm Optimization
discrete-time adaptive control
stability analysis
Lyapunov direct method
LaSalle-Yoshizawa theorem
function approximation
spellingShingle Electrical Engineering
Particle Swarm Optimization
discrete-time adaptive control
stability analysis
Lyapunov direct method
LaSalle-Yoshizawa theorem
function approximation
Djaneye-Boundjou, Ouboti Seydou Eyanaa
Particle Swarm Optimization Stability Analysis
author Djaneye-Boundjou, Ouboti Seydou Eyanaa
author_facet Djaneye-Boundjou, Ouboti Seydou Eyanaa
author_sort Djaneye-Boundjou, Ouboti Seydou Eyanaa
title Particle Swarm Optimization Stability Analysis
title_short Particle Swarm Optimization Stability Analysis
title_full Particle Swarm Optimization Stability Analysis
title_fullStr Particle Swarm Optimization Stability Analysis
title_full_unstemmed Particle Swarm Optimization Stability Analysis
title_sort particle swarm optimization stability analysis
publisher University of Dayton / OhioLINK
publishDate 2013
url http://rave.ohiolink.edu/etdc/view?acc_num=dayton1386413941
work_keys_str_mv AT djaneyeboundjououbotiseydoueyanaa particleswarmoptimizationstabilityanalysis
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