Performance analysis of sampled-data control systems
This brief paper considers multivariable sampled-data systems with bandlimited exogenous inputs. A procedure is given for the computation of the L 2 induced input to output norm of such a system. In addition, sufficient conditions are given for input-output stability. The digital implementation of a...
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| Veröffentlicht in: | Automatica (Oxford) 1991, Vol.27 (4), p.699-704 |
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| container_title | Automatica (Oxford) |
| container_volume | 27 |
| creator | Leung, G.M.H. Perry, T.P. Francis, B.A. |
| description | This brief paper considers multivariable sampled-data systems with bandlimited exogenous inputs. A procedure is given for the computation of the
L
2 induced input to output norm of such a system. In addition, sufficient conditions are given for input-output stability.
The digital implementation of an analog controller will generally degrade the performance of the closed-loop system. In light of this, two examples are given to illustrate how this degradation is quantified as a function of the sampling period. In general, this allows the determination of the minimum sampling rate required to recover the performance designed for using the original continuous-time setup. |
| doi_str_mv | 10.1016/0005-1098(91)90060-F |
| format | Article |
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L
2 induced input to output norm of such a system. In addition, sufficient conditions are given for input-output stability.
The digital implementation of an analog controller will generally degrade the performance of the closed-loop system. In light of this, two examples are given to illustrate how this degradation is quantified as a function of the sampling period. In general, this allows the determination of the minimum sampling rate required to recover the performance designed for using the original continuous-time setup.</description><identifier>ISSN: 0005-1098</identifier><identifier>EISSN: 1873-2836</identifier><identifier>DOI: 10.1016/0005-1098(91)90060-F</identifier><identifier>CODEN: ATCAA9</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>[formula omitted]2 input/output stability ; [formula omitted]∞ norm ; Applied sciences ; Computer science; control theory; systems ; Control system analysis ; Control theory. Systems ; Exact sciences and technology ; ideal sampler ; Sampled-data systems ; zero-order hold</subject><ispartof>Automatica (Oxford), 1991, Vol.27 (4), p.699-704</ispartof><rights>1991</rights><rights>1993 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c364t-7b0690d425528df63a1c79a49da4c415b0943224c1f2d4f3ff5b8286b6020c8d3</citedby><cites>FETCH-LOGICAL-c364t-7b0690d425528df63a1c79a49da4c415b0943224c1f2d4f3ff5b8286b6020c8d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/0005-1098(91)90060-F$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3548,4021,27921,27922,27923,45993</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=4317962$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Leung, G.M.H.</creatorcontrib><creatorcontrib>Perry, T.P.</creatorcontrib><creatorcontrib>Francis, B.A.</creatorcontrib><title>Performance analysis of sampled-data control systems</title><title>Automatica (Oxford)</title><description>This brief paper considers multivariable sampled-data systems with bandlimited exogenous inputs. A procedure is given for the computation of the
L
2 induced input to output norm of such a system. In addition, sufficient conditions are given for input-output stability.
The digital implementation of an analog controller will generally degrade the performance of the closed-loop system. In light of this, two examples are given to illustrate how this degradation is quantified as a function of the sampling period. In general, this allows the determination of the minimum sampling rate required to recover the performance designed for using the original continuous-time setup.</description><subject>[formula omitted]2 input/output stability</subject><subject>[formula omitted]∞ norm</subject><subject>Applied sciences</subject><subject>Computer science; control theory; systems</subject><subject>Control system analysis</subject><subject>Control theory. Systems</subject><subject>Exact sciences and technology</subject><subject>ideal sampler</subject><subject>Sampled-data systems</subject><subject>zero-order hold</subject><issn>0005-1098</issn><issn>1873-2836</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1991</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAQhoMouK7-Aw89iOihmq-myUWQxVVhQQ96Dmk-INI2a6Yr7L-3dZc9ehoGnneG90HokuA7gom4xxhXJcFK3ihyqzAWuFweoRmRNSupZOIYzQ7IKToD-BpXTiSdIf7uc0i5M731helNu4UIRQoFmG7delc6M5jCpn7IqS1gC4Pv4BydBNOCv9jPOfpcPn0sXsrV2_Pr4nFVWib4UNYNFgo7TquKShcEM8TWynDlDLecVA1WnFHKLQnU8cBCqBpJpWgEpthKx-boend3ndP3xsOguwjWt63pfdqAphWrharqEeQ70OYEkH3Q6xw7k7eaYD0p0lN_PfXXiug_RXo5xq729w1Y04Y8WohwyHJGaiXoiD3sMD92_Yk-a7DRj8JczN4O2qX4_59fwQN48A</recordid><startdate>1991</startdate><enddate>1991</enddate><creator>Leung, G.M.H.</creator><creator>Perry, T.P.</creator><creator>Francis, B.A.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>1991</creationdate><title>Performance analysis of sampled-data control systems</title><author>Leung, G.M.H. ; Perry, T.P. ; Francis, B.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c364t-7b0690d425528df63a1c79a49da4c415b0943224c1f2d4f3ff5b8286b6020c8d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1991</creationdate><topic>[formula omitted]2 input/output stability</topic><topic>[formula omitted]∞ norm</topic><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Control system analysis</topic><topic>Control theory. Systems</topic><topic>Exact sciences and technology</topic><topic>ideal sampler</topic><topic>Sampled-data systems</topic><topic>zero-order hold</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Leung, G.M.H.</creatorcontrib><creatorcontrib>Perry, T.P.</creatorcontrib><creatorcontrib>Francis, B.A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems 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>Automatica (Oxford)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Leung, G.M.H.</au><au>Perry, T.P.</au><au>Francis, B.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Performance analysis of sampled-data control systems</atitle><jtitle>Automatica (Oxford)</jtitle><date>1991</date><risdate>1991</risdate><volume>27</volume><issue>4</issue><spage>699</spage><epage>704</epage><pages>699-704</pages><issn>0005-1098</issn><eissn>1873-2836</eissn><coden>ATCAA9</coden><abstract>This brief paper considers multivariable sampled-data systems with bandlimited exogenous inputs. A procedure is given for the computation of the
L
2 induced input to output norm of such a system. In addition, sufficient conditions are given for input-output stability.
The digital implementation of an analog controller will generally degrade the performance of the closed-loop system. In light of this, two examples are given to illustrate how this degradation is quantified as a function of the sampling period. In general, this allows the determination of the minimum sampling rate required to recover the performance designed for using the original continuous-time setup.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/0005-1098(91)90060-F</doi><tpages>6</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0005-1098 |
| ispartof | Automatica (Oxford), 1991, Vol.27 (4), p.699-704 |
| issn | 0005-1098 1873-2836 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_25376957 |
| source | Elsevier ScienceDirect Journals Complete |
| subjects | [formula omitted]2 input/output stability [formula omitted]∞ norm Applied sciences Computer science control theory systems Control system analysis Control theory. Systems Exact sciences and technology ideal sampler Sampled-data systems zero-order hold |
| title | Performance analysis of sampled-data control systems |
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