On performance limitation in tracking a sinusoid
This note studies the performance limitation of a feedback system with a given linear time-invariant (LTI) plant in tracking a sinusoidal signal. It continues and goes beyond some recent studies in the same topic in which it is assumed that the controller can access all the past and future values of...
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| Veröffentlicht in: | IEEE transactions on automatic control 2006-08, Vol.51 (8), p.1320-1325 |
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| container_title | IEEE transactions on automatic control |
| container_volume | 51 |
| creator | Su, W. Qiu, L. Chen, J. |
| description | This note studies the performance limitation of a feedback system with a given linear time-invariant (LTI) plant in tracking a sinusoidal signal. It continues and goes beyond some recent studies in the same topic in which it is assumed that the controller can access all the past and future values of the reference signal. In this note, we consider the more realistic (and more difficult) situation where the controller only accesses the current and past values of the reference. An explicit formula of the best attainable performance is obtained for a single-input-single-output (SISO) system which depends on the nonminimum phase zeros of the plant and the frequency of the reference sinusoid. Compared to the previously studied case when the future of the reference is available, this formula clearly shows the extra effort one has to pay due to the lack of the reference information. A partial result for a multiple-input-multiple-output (MIMO) system is also given |
| doi_str_mv | 10.1109/TAC.2006.878726 |
| format | Article |
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It continues and goes beyond some recent studies in the same topic in which it is assumed that the controller can access all the past and future values of the reference signal. In this note, we consider the more realistic (and more difficult) situation where the controller only accesses the current and past values of the reference. An explicit formula of the best attainable performance is obtained for a single-input-single-output (SISO) system which depends on the nonminimum phase zeros of the plant and the frequency of the reference sinusoid. Compared to the previously studied case when the future of the reference is available, this formula clearly shows the extra effort one has to pay due to the lack of the reference information. 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It continues and goes beyond some recent studies in the same topic in which it is assumed that the controller can access all the past and future values of the reference signal. In this note, we consider the more realistic (and more difficult) situation where the controller only accesses the current and past values of the reference. An explicit formula of the best attainable performance is obtained for a single-input-single-output (SISO) system which depends on the nonminimum phase zeros of the plant and the frequency of the reference sinusoid. Compared to the previously studied case when the future of the reference is available, this formula clearly shows the extra effort one has to pay due to the lack of the reference information. A partial result for a multiple-input-multiple-output (MIMO) system is also given</description><subject>Access control</subject><subject>Applied sciences</subject><subject>Automatic control</subject><subject>Automation</subject><subject>Computer science; control theory; systems</subject><subject>Control systems</subject><subject>Control theory</subject><subject>Control theory. Systems</subject><subject>Councils</subject><subject>Error correction</subject><subject>Exact sciences and technology</subject><subject>Feedback</subject><subject>Frequency</subject><subject>History</subject><subject>Linear system structure</subject><subject>MIMO</subject><subject>Miscellaneous</subject><subject>Modelling and identification</subject><subject>nonminimum phase</subject><subject>Optimal control</subject><subject>performance limitation</subject><subject>Reference signals</subject><subject>Signal design</subject><subject>Signal generators</subject><subject>Tracking</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkE1LAzEQhoMoWKtnD14WQTxtO8km2eRYSv2AQi_1HGKaSOputia7B_-9KVsoeJoZ5pnh5UHoHsMMY5Dz7WI5IwB8JmpRE36BJpgxURJGqks0AcCilETwa3ST0j6PnFI8QbAJxcFG18VWB2OLxre-173vQuFD0Udtvn34KnSRfBhS53e36MrpJtm7U52ij5fVdvlWrjev78vFujQU876sHGMaiAZnJHPyk1lpCWVCCJp7zJlxvLbUyhwWS0OBOS2xc1jATjPCqil6Hv8eYvcz2NSr1idjm0YH2w1JCSEpJRxwJh__kftuiCGHU4LXIHnGMjQfIRO7lKJ16hB9q-OvwqCO_lT2p47-1OgvXzyd3upkdONi9uPT-UwAFRLqzD2MnLfWnte8rpjE1R_hdnaE</recordid><startdate>20060801</startdate><enddate>20060801</enddate><creator>Su, W.</creator><creator>Qiu, L.</creator><creator>Chen, J.</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>Error correction</topic><topic>Exact sciences and technology</topic><topic>Feedback</topic><topic>Frequency</topic><topic>History</topic><topic>Linear system structure</topic><topic>MIMO</topic><topic>Miscellaneous</topic><topic>Modelling and identification</topic><topic>nonminimum phase</topic><topic>Optimal control</topic><topic>performance limitation</topic><topic>Reference signals</topic><topic>Signal design</topic><topic>Signal generators</topic><topic>Tracking</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Su, W.</creatorcontrib><creatorcontrib>Qiu, L.</creatorcontrib><creatorcontrib>Chen, J.</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>Su, W.</au><au>Qiu, L.</au><au>Chen, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On performance limitation in tracking a sinusoid</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>2006-08-01</date><risdate>2006</risdate><volume>51</volume><issue>8</issue><spage>1320</spage><epage>1325</epage><pages>1320-1325</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>This note studies the performance limitation of a feedback system with a given linear time-invariant (LTI) plant in tracking a sinusoidal signal. It continues and goes beyond some recent studies in the same topic in which it is assumed that the controller can access all the past and future values of the reference signal. In this note, we consider the more realistic (and more difficult) situation where the controller only accesses the current and past values of the reference. An explicit formula of the best attainable performance is obtained for a single-input-single-output (SISO) system which depends on the nonminimum phase zeros of the plant and the frequency of the reference sinusoid. Compared to the previously studied case when the future of the reference is available, this formula clearly shows the extra effort one has to pay due to the lack of the reference information. A partial result for a multiple-input-multiple-output (MIMO) system is also given</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TAC.2006.878726</doi><tpages>6</tpages></addata></record> |
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| identifier | ISSN: 0018-9286 |
| ispartof | IEEE transactions on automatic control, 2006-08, Vol.51 (8), p.1320-1325 |
| issn | 0018-9286 1558-2523 |
| language | eng |
| recordid | cdi_crossref_primary_10_1109_TAC_2006_878726 |
| source | IEEE Electronic Library (IEL) |
| subjects | Access control Applied sciences Automatic control Automation Computer science control theory systems Control systems Control theory Control theory. Systems Councils Error correction Exact sciences and technology Feedback Frequency History Linear system structure MIMO Miscellaneous Modelling and identification nonminimum phase Optimal control performance limitation Reference signals Signal design Signal generators Tracking |
| title | On performance limitation in tracking a sinusoid |
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