Stable adaptive fuzzy control for MIMO nonlinear systems
In this paper, an indirect adaptive fuzzy control scheme is presented for a class of multi-input and multi-output (MIMO) nonlinear systems whose dynamics are poorly understood. Within this scheme, fuzzy systems are employed to approximate the plant’s unknown dynamics. In order to overcome the contro...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2011-10, Vol.62 (7), p.2843-2853 |
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| container_title | Computers & mathematics with applications (1987) |
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| creator | Shi, Wuxi Zhang, Mu Guo, Wencheng Guo, Lijin |
| description | In this paper, an indirect adaptive fuzzy control scheme is presented for a class of multi-input and multi-output (MIMO) nonlinear systems whose dynamics are poorly understood. Within this scheme, fuzzy systems are employed to approximate the plant’s unknown dynamics. In order to overcome the controller singularity problem, the estimated gain matrix is decomposed into the product of one diagonal matrix and two orthogonal matrices, a robustifying control term is used to compensate for the lumped errors, and all parameter adaptive laws and robustifying control term are derived based on Lyapunov stability analysis. The proposed scheme guarantees that all the signals in the resulting closed-loop system are uniformly ultimately bounded (UUB). Moreover, the tracking errors can be made small enough if the designed parameter is chosen to be sufficiently large. A simulation example is used to demonstrate the effectiveness of the proposed control scheme. |
| doi_str_mv | 10.1016/j.camwa.2011.07.050 |
| format | Article |
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A simulation example is used to demonstrate the effectiveness of the proposed control scheme.</description><subject>Adaptive control systems</subject><subject>Adaptive fuzzy control</subject><subject>Computer simulation</subject><subject>Dynamical systems</subject><subject>Errors compensation</subject><subject>Fuzzy control</subject><subject>Laws</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>MIMO nonlinear systems</subject><subject>Nonlinear dynamics</subject><issn>0898-1221</issn><issn>1873-7668</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kL1OwzAYRS0EEqXwBCzZmBI-_ycDA6r4qdSqAzBbrvNFcpXExU6L2qcnUGamu9xzpXsIuaVQUKDqflM4233ZggGlBegCJJyRCS01z7VS5TmZQFmVOWWMXpKrlDYAIDiDCSnfBrtuMbO13Q5-j1mzOx4PmQv9EEObNSFmy_lylfWhb32PNmbpkAbs0jW5aGyb8OYvp-Tj-el99povVi_z2eMid7yEIVeSaalrp6CyFpGjFA1KSeVaNJXkVCpcWwfCCkmdk04wUQsqbc3k-AU0n5K70-42hs8dpsF0PjlsW9tj2CVTMcWploqPTX5quhhSitiYbfSdjQdDwfxoMhvzq8n8aDKgzahppB5OFI4n9h6jSc5j77D2Ed1g6uD_5b8BXf1wrg</recordid><startdate>20111001</startdate><enddate>20111001</enddate><creator>Shi, Wuxi</creator><creator>Zhang, Mu</creator><creator>Guo, Wencheng</creator><creator>Guo, Lijin</creator><general>Elsevier Ltd</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</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>20111001</creationdate><title>Stable adaptive fuzzy control for MIMO nonlinear systems</title><author>Shi, Wuxi ; Zhang, Mu ; Guo, Wencheng ; Guo, Lijin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c380t-652757dc609aaee3e54fe5515b4f953156ebac04a451cc5c424d415ad25011073</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Adaptive control systems</topic><topic>Adaptive fuzzy control</topic><topic>Computer simulation</topic><topic>Dynamical systems</topic><topic>Errors compensation</topic><topic>Fuzzy control</topic><topic>Laws</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>MIMO nonlinear systems</topic><topic>Nonlinear dynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shi, Wuxi</creatorcontrib><creatorcontrib>Zhang, Mu</creatorcontrib><creatorcontrib>Guo, Wencheng</creatorcontrib><creatorcontrib>Guo, Lijin</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><collection>Computer and Information Systems 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>Computers & mathematics with applications (1987)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shi, Wuxi</au><au>Zhang, Mu</au><au>Guo, Wencheng</au><au>Guo, Lijin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stable adaptive fuzzy control for MIMO nonlinear systems</atitle><jtitle>Computers & mathematics with applications (1987)</jtitle><date>2011-10-01</date><risdate>2011</risdate><volume>62</volume><issue>7</issue><spage>2843</spage><epage>2853</epage><pages>2843-2853</pages><issn>0898-1221</issn><eissn>1873-7668</eissn><abstract>In this paper, an indirect adaptive fuzzy control scheme is presented for a class of multi-input and multi-output (MIMO) nonlinear systems whose dynamics are poorly understood. 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| ispartof | Computers & mathematics with applications (1987), 2011-10, Vol.62 (7), p.2843-2853 |
| issn | 0898-1221 1873-7668 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present); EZB-FREE-00999 freely available EZB journals |
| subjects | Adaptive control systems Adaptive fuzzy control Computer simulation Dynamical systems Errors compensation Fuzzy control Laws Mathematical analysis Mathematical models MIMO nonlinear systems Nonlinear dynamics |
| title | Stable adaptive fuzzy control for MIMO nonlinear systems |
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