Optimum design of fuzzy controllers for nonlinear systems using multi-objective particle swarm optimization
In this paper, a multi-objective particle swarm optimization algorithm is used to obtain the Pareto frontiers of the different commensurable and conflicting objective functions for fuzzy controller design. Also, the Lorenz dominance method is used to illustrate the equitable solutions. The nonlinear...
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Veröffentlicht in: | Journal of vibration and control 2016-02, Vol.22 (3), p.769-783 |
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creator | Mahmoodabadi, Mohammad Javad Mottaghi, Mohammad Bagher Salahshoor Mahmodinejad, Ali |
description | In this paper, a multi-objective particle swarm optimization algorithm is used to obtain the Pareto frontiers of the different commensurable and conflicting objective functions for fuzzy controller design. Also, the Lorenz dominance method is used to illustrate the equitable solutions. The nonlinear benchmarks are the inverted pendulum and ball-beam systems. The objective functions for the inverted pendulum system are the normalized angle error of the pendulum and the normalized distance error of the cart; and for the ball-beam system they are the distance error of the ball and the angle error of the beam, which must be minimized simultaneously. The comparison of the obtained results with those in the literature demonstrates the superiority of the results of this work. |
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Also, the Lorenz dominance method is used to illustrate the equitable solutions. The nonlinear benchmarks are the inverted pendulum and ball-beam systems. The objective functions for the inverted pendulum system are the normalized angle error of the pendulum and the normalized distance error of the cart; and for the ball-beam system they are the distance error of the ball and the angle error of the beam, which must be minimized simultaneously. 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The comparison of the obtained results with those in the literature demonstrates the superiority of the results of this work.</description><subject>Benchmarks</subject><subject>Controllers</subject><subject>Design engineering</subject><subject>Design optimization</subject><subject>Dominance</subject><subject>Dynamical systems</subject><subject>Errors</subject><subject>Fuzzy control</subject><subject>Nonlinear systems</subject><subject>Optimization algorithms</subject><subject>Pendulums</subject><subject>Swarm intelligence</subject><subject>Vibration</subject><issn>1077-5463</issn><issn>1741-2986</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LxDAQhoMouK7ePQa8eKlm2iZpj7L4BQt70XNJk3TJmiZrkiq7v96W9SALnmaY95mHYRC6BnIHwPk9EM5pyQooaZEDsBM0A15CltcVOx37Mc6m_BxdxLghhJQlkBn6WG2T6YceKx3N2mHf4W7Y73dYepeCt1aHiDsfsPPOGqdFwHEXk-4jHqJxa9wPNpnMtxstk_nSeCtCMtJqHL9F6LGf9GYvkvHuEp11wkZ99Vvn6P3p8W3xki1Xz6-Lh2UmizJPmVRFVaq6y4VQNeWEsoJK0dZUadZKppTgIid53gKAokRyAoUcB1UBtWI8L-bo9uDdBv856Jia3kSprRVO-yE2wCsGfDTzEb05Qjd-CG68bqRoDQxYOQnJgZLBxxh012yD6UXYNUCa6fvN8ffHleywEsVa_5H-x_8A_M-Fog</recordid><startdate>201602</startdate><enddate>201602</enddate><creator>Mahmoodabadi, Mohammad Javad</creator><creator>Mottaghi, Mohammad Bagher Salahshoor</creator><creator>Mahmodinejad, Ali</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201602</creationdate><title>Optimum design of fuzzy controllers for nonlinear systems using multi-objective particle swarm optimization</title><author>Mahmoodabadi, Mohammad Javad ; Mottaghi, Mohammad Bagher Salahshoor ; Mahmodinejad, Ali</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c342t-cd384d9f2aad95705635cab95de6bc6dda7a2022b111d50c7013c2028319d6723</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Benchmarks</topic><topic>Controllers</topic><topic>Design engineering</topic><topic>Design optimization</topic><topic>Dominance</topic><topic>Dynamical systems</topic><topic>Errors</topic><topic>Fuzzy control</topic><topic>Nonlinear systems</topic><topic>Optimization algorithms</topic><topic>Pendulums</topic><topic>Swarm intelligence</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mahmoodabadi, Mohammad Javad</creatorcontrib><creatorcontrib>Mottaghi, Mohammad Bagher Salahshoor</creatorcontrib><creatorcontrib>Mahmodinejad, Ali</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of vibration and control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mahmoodabadi, Mohammad Javad</au><au>Mottaghi, Mohammad Bagher Salahshoor</au><au>Mahmodinejad, Ali</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optimum design of fuzzy controllers for nonlinear systems using multi-objective particle swarm optimization</atitle><jtitle>Journal of vibration and control</jtitle><date>2016-02</date><risdate>2016</risdate><volume>22</volume><issue>3</issue><spage>769</spage><epage>783</epage><pages>769-783</pages><issn>1077-5463</issn><eissn>1741-2986</eissn><abstract>In this paper, a multi-objective particle swarm optimization algorithm is used to obtain the Pareto frontiers of the different commensurable and conflicting objective functions for fuzzy controller design. 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subjects | Benchmarks Controllers Design engineering Design optimization Dominance Dynamical systems Errors Fuzzy control Nonlinear systems Optimization algorithms Pendulums Swarm intelligence Vibration |
title | Optimum design of fuzzy controllers for nonlinear systems using multi-objective particle swarm optimization |
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