Adaptive control for a class of uncertain linear parameter‐varying flight aircraft systems
Summary The concept of linear parameter‐varying (LPV) model has been developed as a convenient framework to describe a special class of uncertain LPV flight aircraft systems. In this paper, an adaptive control method for a class of uncertain LPV systems whose state‐space matrix elements are unknown...
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| Veröffentlicht in: | International journal of adaptive control and signal processing 2017-02, Vol.31 (2), p.210-222 |
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| container_title | International journal of adaptive control and signal processing |
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| creator | Liu, Chun‐sheng Ye, Qing Zhang, Shao‐jie |
| description | Summary
The concept of linear parameter‐varying (LPV) model has been developed as a convenient framework to describe a special class of uncertain LPV flight aircraft systems. In this paper, an adaptive control method for a class of uncertain LPV systems whose state‐space matrix elements are unknown affine functions of a set of measurable scalar parameters is presented. Firstly, the scalar parameters are separated from the state matrices such that the LPV model is rewritten as general unknown parameter model, then state feedback adaptive control laws, in both cases: the matched uncertainty and the unmatched uncertainty, are designed with the aim of controlling the system state to follow a desired trajectory. The sufficient condition of stability is derived using a Lyapunov equation, not a parameterized Lyapunov equation. Simulation tests based on a simple example and a nonlinear model of a transport aircraft are given to illustrate the effectiveness of the control algorithm and to demonstrate that the adaptive controller satisfies the performance requirement for an aircraft control system. Copyright © 2016 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/acs.2693 |
| format | Article |
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The concept of linear parameter‐varying (LPV) model has been developed as a convenient framework to describe a special class of uncertain LPV flight aircraft systems. In this paper, an adaptive control method for a class of uncertain LPV systems whose state‐space matrix elements are unknown affine functions of a set of measurable scalar parameters is presented. Firstly, the scalar parameters are separated from the state matrices such that the LPV model is rewritten as general unknown parameter model, then state feedback adaptive control laws, in both cases: the matched uncertainty and the unmatched uncertainty, are designed with the aim of controlling the system state to follow a desired trajectory. The sufficient condition of stability is derived using a Lyapunov equation, not a parameterized Lyapunov equation. Simulation tests based on a simple example and a nonlinear model of a transport aircraft are given to illustrate the effectiveness of the control algorithm and to demonstrate that the adaptive controller satisfies the performance requirement for an aircraft control system. Copyright © 2016 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0890-6327</identifier><identifier>EISSN: 1099-1115</identifier><identifier>DOI: 10.1002/acs.2693</identifier><language>eng</language><publisher>Bognor Regis: Wiley Subscription Services, Inc</publisher><subject>Adaptive algorithms ; Adaptive control ; Aircraft ; Aircraft control ; Computer simulation ; Control systems ; Control theory ; Linear parameter‐varying model ; Mathematical analysis ; Mathematical models ; Nonlinear system ; Numerical controls ; Parameter uncertainty ; Parameters ; Product design ; Scalars ; State feedback ; Transport aircraft ; Uncertainty ; Uncertainty of system</subject><ispartof>International journal of adaptive control and signal processing, 2017-02, Vol.31 (2), p.210-222</ispartof><rights>Copyright © 2016 John Wiley & Sons, Ltd.</rights><rights>Copyright © 2017 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3543-769cc157c840eade5624a9019d9315d687627e68f30b409c33eca7cf7ff53c643</citedby><cites>FETCH-LOGICAL-c3543-769cc157c840eade5624a9019d9315d687627e68f30b409c33eca7cf7ff53c643</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Facs.2693$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Facs.2693$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Liu, Chun‐sheng</creatorcontrib><creatorcontrib>Ye, Qing</creatorcontrib><creatorcontrib>Zhang, Shao‐jie</creatorcontrib><title>Adaptive control for a class of uncertain linear parameter‐varying flight aircraft systems</title><title>International journal of adaptive control and signal processing</title><description>Summary
The concept of linear parameter‐varying (LPV) model has been developed as a convenient framework to describe a special class of uncertain LPV flight aircraft systems. In this paper, an adaptive control method for a class of uncertain LPV systems whose state‐space matrix elements are unknown affine functions of a set of measurable scalar parameters is presented. Firstly, the scalar parameters are separated from the state matrices such that the LPV model is rewritten as general unknown parameter model, then state feedback adaptive control laws, in both cases: the matched uncertainty and the unmatched uncertainty, are designed with the aim of controlling the system state to follow a desired trajectory. The sufficient condition of stability is derived using a Lyapunov equation, not a parameterized Lyapunov equation. Simulation tests based on a simple example and a nonlinear model of a transport aircraft are given to illustrate the effectiveness of the control algorithm and to demonstrate that the adaptive controller satisfies the performance requirement for an aircraft control system. Copyright © 2016 John Wiley & Sons, Ltd.</description><subject>Adaptive algorithms</subject><subject>Adaptive control</subject><subject>Aircraft</subject><subject>Aircraft control</subject><subject>Computer simulation</subject><subject>Control systems</subject><subject>Control theory</subject><subject>Linear parameter‐varying model</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Nonlinear system</subject><subject>Numerical controls</subject><subject>Parameter uncertainty</subject><subject>Parameters</subject><subject>Product design</subject><subject>Scalars</subject><subject>State feedback</subject><subject>Transport aircraft</subject><subject>Uncertainty</subject><subject>Uncertainty of system</subject><issn>0890-6327</issn><issn>1099-1115</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp90c1KAzEQB_AgCtYq-AgBL162JpvN17EUv6DgQb0JIWaTmpLdrUlW6c1H8Bl9ErdWEAQ9zWF-zAzzB-AYowlGqDzTJk1KJskOGGEkZYExprtghIREBSMl3wcHKS0RGnqYjMDDtNar7F8sNF2bYxeg6yLU0ASdEuwc7FtjY9a-hcG3Vke40lE3Ntv48fb-ouPatwvogl88Zah9NFG7DNM6ZdukQ7DndEj26LuOwf3F-d3sqpjfXF7PpvPCEFqRgjNpDKbciApZXVvKykpLhGUtCaY1E5yV3DLhCHqskDSEWKO5cdw5SgyryBicbueuYvfc25RV45OxIejWdn1SWHApBRNEDvTkF112fWyH6xSWqEJUcor_VYIKNjyakZ-1JnYpRevUKvpmeInCSG3CUEMYahPGQIstffXBrv90ajq7_fKff-CKtg</recordid><startdate>201702</startdate><enddate>201702</enddate><creator>Liu, Chun‐sheng</creator><creator>Ye, Qing</creator><creator>Zhang, Shao‐jie</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201702</creationdate><title>Adaptive control for a class of uncertain linear parameter‐varying flight aircraft systems</title><author>Liu, Chun‐sheng ; Ye, Qing ; Zhang, Shao‐jie</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3543-769cc157c840eade5624a9019d9315d687627e68f30b409c33eca7cf7ff53c643</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Adaptive algorithms</topic><topic>Adaptive control</topic><topic>Aircraft</topic><topic>Aircraft control</topic><topic>Computer simulation</topic><topic>Control systems</topic><topic>Control theory</topic><topic>Linear parameter‐varying model</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Nonlinear system</topic><topic>Numerical controls</topic><topic>Parameter uncertainty</topic><topic>Parameters</topic><topic>Product design</topic><topic>Scalars</topic><topic>State feedback</topic><topic>Transport aircraft</topic><topic>Uncertainty</topic><topic>Uncertainty of system</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Chun‐sheng</creatorcontrib><creatorcontrib>Ye, Qing</creatorcontrib><creatorcontrib>Zhang, Shao‐jie</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research 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>International journal of adaptive control and signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Chun‐sheng</au><au>Ye, Qing</au><au>Zhang, Shao‐jie</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Adaptive control for a class of uncertain linear parameter‐varying flight aircraft systems</atitle><jtitle>International journal of adaptive control and signal processing</jtitle><date>2017-02</date><risdate>2017</risdate><volume>31</volume><issue>2</issue><spage>210</spage><epage>222</epage><pages>210-222</pages><issn>0890-6327</issn><eissn>1099-1115</eissn><abstract>Summary
The concept of linear parameter‐varying (LPV) model has been developed as a convenient framework to describe a special class of uncertain LPV flight aircraft systems. In this paper, an adaptive control method for a class of uncertain LPV systems whose state‐space matrix elements are unknown affine functions of a set of measurable scalar parameters is presented. Firstly, the scalar parameters are separated from the state matrices such that the LPV model is rewritten as general unknown parameter model, then state feedback adaptive control laws, in both cases: the matched uncertainty and the unmatched uncertainty, are designed with the aim of controlling the system state to follow a desired trajectory. The sufficient condition of stability is derived using a Lyapunov equation, not a parameterized Lyapunov equation. Simulation tests based on a simple example and a nonlinear model of a transport aircraft are given to illustrate the effectiveness of the control algorithm and to demonstrate that the adaptive controller satisfies the performance requirement for an aircraft control system. Copyright © 2016 John Wiley & Sons, Ltd.</abstract><cop>Bognor Regis</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/acs.2693</doi><tpages>13</tpages></addata></record> |
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| language | eng |
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| source | Wiley Journals |
| subjects | Adaptive algorithms Adaptive control Aircraft Aircraft control Computer simulation Control systems Control theory Linear parameter‐varying model Mathematical analysis Mathematical models Nonlinear system Numerical controls Parameter uncertainty Parameters Product design Scalars State feedback Transport aircraft Uncertainty Uncertainty of system |
| title | Adaptive control for a class of uncertain linear parameter‐varying flight aircraft systems |
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