An Average Performance Limit of MIMO Systems in Tracking Multi-Sinusoids With Partial Signal Information
This paper studies the best achievable reference tracking performance of MIMO linear time-invariant (LTI) feedback systems with partial reference information. The reference signal to be tracked is a multi-tone sinusoidal signal. It is assumed that, other than the instantaneous values of the referenc...
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| Veröffentlicht in: | IEEE transactions on automatic control 2009-08, Vol.54 (8), p.2001-2006 |
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| container_end_page | 2006 |
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| container_issue | 8 |
| container_start_page | 2001 |
| container_title | IEEE transactions on automatic control |
| container_volume | 54 |
| creator | Weizhou Su, Weizhou Su Li Qiu, Li Qiu Jie Chen, Jie Chen |
| description | This paper studies the best achievable reference tracking performance of MIMO linear time-invariant (LTI) feedback systems with partial reference information. The reference signal to be tracked is a multi-tone sinusoidal signal. It is assumed that, other than the instantaneous values of the reference signal, only the frequencies of the sinusoidal components are known. The tracking performance is measured by the energy of the tracking error. With this partial information of the reference signal, we consider an averaged performance measure and obtain an explicit expression of the best achievable performance. The expression shows how the harmonic frequencies and the zero directions may affect the performance, and further, how a performance degradation may result under the available partial information. |
| doi_str_mv | 10.1109/TAC.2009.2023969 |
| format | Article |
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The reference signal to be tracked is a multi-tone sinusoidal signal. It is assumed that, other than the instantaneous values of the reference signal, only the frequencies of the sinusoidal components are known. The tracking performance is measured by the energy of the tracking error. With this partial information of the reference signal, we consider an averaged performance measure and obtain an explicit expression of the best achievable performance. 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(IEEE) 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c383t-ac4cf8dd99a39e763ab5a609eff8b56f91d8e78250149af49a381d8a595695e13</citedby><cites>FETCH-LOGICAL-c383t-ac4cf8dd99a39e763ab5a609eff8b56f91d8e78250149af49a381d8a595695e13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5175297$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27923,27924,54757</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5175297$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21969122$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Weizhou Su, Weizhou Su</creatorcontrib><creatorcontrib>Li Qiu, Li Qiu</creatorcontrib><creatorcontrib>Jie Chen, Jie Chen</creatorcontrib><title>An Average Performance Limit of MIMO Systems in Tracking Multi-Sinusoids With Partial Signal Information</title><title>IEEE transactions on automatic control</title><addtitle>TAC</addtitle><description>This paper studies the best achievable reference tracking performance of MIMO linear time-invariant (LTI) feedback systems with partial reference information. The reference signal to be tracked is a multi-tone sinusoidal signal. It is assumed that, other than the instantaneous values of the reference signal, only the frequencies of the sinusoidal components are known. The tracking performance is measured by the energy of the tracking error. With this partial information of the reference signal, we consider an averaged performance measure and obtain an explicit expression of the best achievable performance. The expression shows how the harmonic frequencies and the zero directions may affect the performance, and further, how a performance degradation may result under the available partial information.</description><subject>Applied sciences</subject><subject>Automatic control</subject><subject>Automation</subject><subject>Computer errors</subject><subject>Computer science; control theory; systems</subject><subject>Control system analysis</subject><subject>Control systems</subject><subject>Control theory</subject><subject>Control theory. Systems</subject><subject>Councils</subject><subject>Degradation</subject><subject>Energy measurement</subject><subject>Exact sciences and technology</subject><subject>Feedback</subject><subject>Frequency</subject><subject>Linear systems</subject><subject>MIMO</subject><subject>nonminimum phase zeros</subject><subject>Optimal control</subject><subject>Performance degradation</subject><subject>performance limitation</subject><subject>Reference signals</subject><subject>Signal processing</subject><subject>Tracking</subject><subject>Tracking errors</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kUFrGzEQhUVpIG6Se6AXUWhz2kQjrWTpaEySGmwSsEuPi7we2XJ3tam0W8i_j1IbH3roYTSM5nsPpEfINbBbAGbuVpPpLWfM5IMLo8wHMgIpdcElFx_JiDHQheFanZNPKe3zqMoSRmQ3CXTyB6PdIn3G6LrY2lAjnfvW97RzdDFbPNHla-qxTdQHuoq2_uXDli6GpvfF0ochdX6T6E_f7-izjb23DV36bchtFv4a9r4Ll-TM2Sbh1bFfkB8P96vp92L-9DibTuZFLbToC1uXtdObjTFWGBwrYdfSKmbQOb2WyhnYaBxrLhmUxrpcQucrK41URiKIC3Jz8H2J3e8BU1-1PtXYNDZgN6RKa5MVyohMfvsvKSTjJYgyg1_-AffdEPP7spsCASWUOkPsANWxSymiq16ib218rYBV7wlVOaHqPaHqmFCWfD362lTbxsX88z6ddBwyBJxn7vOB84h4WksYS27G4g31RphU</recordid><startdate>20090801</startdate><enddate>20090801</enddate><creator>Weizhou Su, Weizhou Su</creator><creator>Li Qiu, Li Qiu</creator><creator>Jie Chen, Jie Chen</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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Systems</topic><topic>Councils</topic><topic>Degradation</topic><topic>Energy measurement</topic><topic>Exact sciences and technology</topic><topic>Feedback</topic><topic>Frequency</topic><topic>Linear systems</topic><topic>MIMO</topic><topic>nonminimum phase zeros</topic><topic>Optimal control</topic><topic>Performance degradation</topic><topic>performance limitation</topic><topic>Reference signals</topic><topic>Signal processing</topic><topic>Tracking</topic><topic>Tracking errors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Weizhou Su, Weizhou Su</creatorcontrib><creatorcontrib>Li Qiu, Li Qiu</creatorcontrib><creatorcontrib>Jie Chen, Jie Chen</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Pascal-Francis</collection><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>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><jtitle>IEEE transactions on automatic control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Weizhou Su, Weizhou Su</au><au>Li Qiu, Li Qiu</au><au>Jie Chen, Jie Chen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An Average Performance Limit of MIMO Systems in Tracking Multi-Sinusoids With Partial Signal Information</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>2009-08-01</date><risdate>2009</risdate><volume>54</volume><issue>8</issue><spage>2001</spage><epage>2006</epage><pages>2001-2006</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>This paper studies the best achievable reference tracking performance of MIMO linear time-invariant (LTI) feedback systems with partial reference information. The reference signal to be tracked is a multi-tone sinusoidal signal. It is assumed that, other than the instantaneous values of the reference signal, only the frequencies of the sinusoidal components are known. The tracking performance is measured by the energy of the tracking error. With this partial information of the reference signal, we consider an averaged performance measure and obtain an explicit expression of the best achievable performance. The expression shows how the harmonic frequencies and the zero directions may affect the performance, and further, how a performance degradation may result under the available partial information.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TAC.2009.2023969</doi><tpages>6</tpages></addata></record> |
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| identifier | ISSN: 0018-9286 |
| ispartof | IEEE transactions on automatic control, 2009-08, Vol.54 (8), p.2001-2006 |
| issn | 0018-9286 1558-2523 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Automatic control Automation Computer errors Computer science control theory systems Control system analysis Control systems Control theory Control theory. Systems Councils Degradation Energy measurement Exact sciences and technology Feedback Frequency Linear systems MIMO nonminimum phase zeros Optimal control Performance degradation performance limitation Reference signals Signal processing Tracking Tracking errors |
| title | An Average Performance Limit of MIMO Systems in Tracking Multi-Sinusoids With Partial Signal Information |
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