A multivariable MRAC scheme with application to a nonlinear aircraft model
This paper revisits the multivariable model reference adaptive control (MRAC) problem, by studying adaptive state feedback control for output tracking of multi-input multi-output (MIMO) systems. With such a control scheme, the plant-model matching conditions are much less restrictive than those for...
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Veröffentlicht in: | Automatica (Oxford) 2011-04, Vol.47 (4), p.804-812 |
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creator | Guo, Jiaxing Tao, Gang Liu, Yu |
description | This paper revisits the multivariable model reference adaptive control (MRAC) problem, by studying adaptive state feedback control for output tracking of multi-input multi-output (MIMO) systems. With such a control scheme, the plant-model matching conditions are much less restrictive than those for state tracking, while the controller has a simpler structure than that of an output feedback design. Such a control scheme is useful when the plant-model matching conditions for state tracking cannot be satisfied. A stable adaptive control scheme is developed based on LDS decomposition of the high-frequency gain matrix, which ensures closed-loop stability and asymptotic output tracking. A simulation study of a linearized lateral-directional dynamics model of a realistic nonlinear aircraft system model is conducted to demonstrate the scheme. This linear design based MRAC scheme is subsequently applied to a nonlinear aircraft system, and the results indicate that this linearization-based adaptive scheme can provide acceptable system performance for the nonlinear systems in a neighborhood of an operating point. |
doi_str_mv | 10.1016/j.automatica.2011.01.069 |
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With such a control scheme, the plant-model matching conditions are much less restrictive than those for state tracking, while the controller has a simpler structure than that of an output feedback design. Such a control scheme is useful when the plant-model matching conditions for state tracking cannot be satisfied. A stable adaptive control scheme is developed based on LDS decomposition of the high-frequency gain matrix, which ensures closed-loop stability and asymptotic output tracking. A simulation study of a linearized lateral-directional dynamics model of a realistic nonlinear aircraft system model is conducted to demonstrate the scheme. 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This linear design based MRAC scheme is subsequently applied to a nonlinear aircraft system, and the results indicate that this linearization-based adaptive scheme can provide acceptable system performance for the nonlinear systems in a neighborhood of an operating point.</description><subject>Adaptative systems</subject><subject>Adaptive systems</subject><subject>Aircraft</subject><subject>Applied sciences</subject><subject>Computer science; control theory; systems</subject><subject>Control system synthesis</subject><subject>Control theory. Systems</subject><subject>Design engineering</subject><subject>Dynamical systems</subject><subject>Exact sciences and technology</subject><subject>Matching</subject><subject>Modelling and identification</subject><subject>Multivariable</subject><subject>Multivariable model reference adaptive control</subject><subject>Nonlinear aircraft model</subject><subject>Nonlinear dynamics</subject><subject>Nonlinearity</subject><subject>Output tracking</subject><subject>State feedback</subject><subject>Tracking</subject><issn>0005-1098</issn><issn>1873-2836</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFkEFrGzEQhUVJoU7a_6BLyWndkbQrS0fHJGlLSqG0ZzGrlYiMduVIckL_fWUc2mNhYBj43nvMI4QyWDNg8tN-jceaZqzB4poDY2toI_UbsmJqIzquhLwgKwAYOgZavSOXpezb2TPFV-Trls7HWMMz5oBjdPTbj-2OFvvoZkdfQn2keDjE5l1DWmhNFOmSlhgWh5liyDajr3ROk4vvyVuPsbgPr_uK_Lq7_bn73D18v_-y2z50ViioHdPThmsEO4L208AZcrsRTCkvBxi14GwSMEndezuySY5DU6HnrHdSNtSLK3J99j3k9HR0pZo5FOtixMWlYzFKaaHFwHgj1Zm0OZWSnTeHHGbMvw0Dc2rP7M2_9sypPQNtpG7Sj68hWCxGn3GxofzV8x4kDP0p4ubMufbxc3DZFBvcYt0UsrPVTCn8P-wPQRaKMg</recordid><startdate>20110401</startdate><enddate>20110401</enddate><creator>Guo, Jiaxing</creator><creator>Tao, Gang</creator><creator>Liu, Yu</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20110401</creationdate><title>A multivariable MRAC scheme with application to a nonlinear aircraft model</title><author>Guo, Jiaxing ; Tao, Gang ; Liu, Yu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c380t-19d729a0cb09fd521a2c73188f650b9321d30d694fcb1d6b5380af214e66a2cf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Adaptative systems</topic><topic>Adaptive systems</topic><topic>Aircraft</topic><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Control system synthesis</topic><topic>Control theory. Systems</topic><topic>Design engineering</topic><topic>Dynamical systems</topic><topic>Exact sciences and technology</topic><topic>Matching</topic><topic>Modelling and identification</topic><topic>Multivariable</topic><topic>Multivariable model reference adaptive control</topic><topic>Nonlinear aircraft model</topic><topic>Nonlinear dynamics</topic><topic>Nonlinearity</topic><topic>Output tracking</topic><topic>State feedback</topic><topic>Tracking</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Guo, Jiaxing</creatorcontrib><creatorcontrib>Tao, Gang</creatorcontrib><creatorcontrib>Liu, Yu</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</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>Automatica (Oxford)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Guo, Jiaxing</au><au>Tao, Gang</au><au>Liu, Yu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A multivariable MRAC scheme with application to a nonlinear aircraft model</atitle><jtitle>Automatica (Oxford)</jtitle><date>2011-04-01</date><risdate>2011</risdate><volume>47</volume><issue>4</issue><spage>804</spage><epage>812</epage><pages>804-812</pages><issn>0005-1098</issn><eissn>1873-2836</eissn><coden>ATCAA9</coden><abstract>This paper revisits the multivariable model reference adaptive control (MRAC) problem, by studying adaptive state feedback control for output tracking of multi-input multi-output (MIMO) systems. With such a control scheme, the plant-model matching conditions are much less restrictive than those for state tracking, while the controller has a simpler structure than that of an output feedback design. Such a control scheme is useful when the plant-model matching conditions for state tracking cannot be satisfied. A stable adaptive control scheme is developed based on LDS decomposition of the high-frequency gain matrix, which ensures closed-loop stability and asymptotic output tracking. A simulation study of a linearized lateral-directional dynamics model of a realistic nonlinear aircraft system model is conducted to demonstrate the scheme. This linear design based MRAC scheme is subsequently applied to a nonlinear aircraft system, and the results indicate that this linearization-based adaptive scheme can provide acceptable system performance for the nonlinear systems in a neighborhood of an operating point.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.automatica.2011.01.069</doi><tpages>9</tpages></addata></record> |
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subjects | Adaptative systems Adaptive systems Aircraft Applied sciences Computer science control theory systems Control system synthesis Control theory. Systems Design engineering Dynamical systems Exact sciences and technology Matching Modelling and identification Multivariable Multivariable model reference adaptive control Nonlinear aircraft model Nonlinear dynamics Nonlinearity Output tracking State feedback Tracking |
title | A multivariable MRAC scheme with application to a nonlinear aircraft model |
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