The Entire Set of First Order Controllers Guaranteed Stability and Gain/Phase Margins for a LTI Plant with Time Delay
The problem of determining the entire set (say S 0 ) of the first order controllers (FOC) that stabilize a linear time invariant (LTI) plant with delay free has been recently solved. In this paper, we extend this solution to the case of LTI plant with time delay. The main result shows that all the s...
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creator | Keunsik Kim Young Choi Kim |
description | The problem of determining the entire set (say S 0 ) of the first order controllers (FOC) that stabilize a linear time invariant (LTI) plant with delay free has been recently solved. In this paper, we extend this solution to the case of LTI plant with time delay. The main result shows that all the stabilizing FOC for a given LTI plant including time delay are represented in a linear transformation of S 0 at every fixed frequency. It is also shown that the whole set of FOC satisfying the given gain and/or phase margins for the plant is determined by the slightly modified linear transformation of S 0 at every fixed frequency. Examples are given for illustration |
doi_str_mv | 10.1109/SICE.2006.315251 |
format | Conference Proceeding |
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In this paper, we extend this solution to the case of LTI plant with time delay. The main result shows that all the stabilizing FOC for a given LTI plant including time delay are represented in a linear transformation of S 0 at every fixed frequency. It is also shown that the whole set of FOC satisfying the given gain and/or phase margins for the plant is determined by the slightly modified linear transformation of S 0 at every fixed frequency. 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Examples are given for illustration</description><subject>Automotive engineering</subject><subject>Control design</subject><subject>Control systems</subject><subject>Delay effects</subject><subject>Educational institutions</subject><subject>Equations</subject><subject>Feedback</subject><subject>First order controller</subject><subject>Frequency</subject><subject>Gain and Phase margins</subject><subject>Graphics</subject><subject>Stability</subject><subject>Stabilizer</subject><subject>Time delay</subject><isbn>9788995003848</isbn><isbn>8995003847</isbn><isbn>9788995003855</isbn><isbn>8995003855</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2006</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpVkMFKAzEURSMiKLV7wc37gbYvyWQmWcrY1kKlhc6-vOm8sZHpjCQp0r-3oBvv5nIW9yyuEE8Sp1Kim-1W5XyqEPOplkYZeSPGrrDWOYOorTG3_ziz92Ic4ydeo11uVPYgztWRYd4nHxh2nGBoYeFDTLAJDQcohz6Foes4RFieKVCfmBvYJap959MFqG9gSb6fbY8UGd4pfPg-QjsEIFhXK9h21w18-3SEyp8YXrmjy6O4a6mLPP7rkagW86p8m6w3y1X5sp54h2mS1W2RaXSo0FnNrkbHpqnzxmFupWylVDZXdXHQSrYHwqIpSJHJDkppQt3qkXj-1Xpm3n8Ff6Jw2WcS7fUU_QObHVuC</recordid><startdate>200610</startdate><enddate>200610</enddate><creator>Keunsik Kim</creator><creator>Young Choi Kim</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200610</creationdate><title>The Entire Set of First Order Controllers Guaranteed Stability and Gain/Phase Margins for a LTI Plant with Time Delay</title><author>Keunsik Kim ; Young Choi Kim</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-4bf74309020983e9b09e5db6d906811f112862b7c321fca07d7a2a54c223a03f3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Automotive engineering</topic><topic>Control design</topic><topic>Control systems</topic><topic>Delay effects</topic><topic>Educational institutions</topic><topic>Equations</topic><topic>Feedback</topic><topic>First order controller</topic><topic>Frequency</topic><topic>Gain and Phase margins</topic><topic>Graphics</topic><topic>Stability</topic><topic>Stabilizer</topic><topic>Time delay</topic><toplevel>online_resources</toplevel><creatorcontrib>Keunsik Kim</creatorcontrib><creatorcontrib>Young Choi Kim</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Keunsik Kim</au><au>Young Choi Kim</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>The Entire Set of First Order Controllers Guaranteed Stability and Gain/Phase Margins for a LTI Plant with Time Delay</atitle><btitle>2006 SICE-ICASE International Joint Conference</btitle><stitle>SICE</stitle><date>2006-10</date><risdate>2006</risdate><spage>11</spage><epage>16</epage><pages>11-16</pages><isbn>9788995003848</isbn><isbn>8995003847</isbn><eisbn>9788995003855</eisbn><eisbn>8995003855</eisbn><abstract>The problem of determining the entire set (say S 0 ) of the first order controllers (FOC) that stabilize a linear time invariant (LTI) plant with delay free has been recently solved. In this paper, we extend this solution to the case of LTI plant with time delay. The main result shows that all the stabilizing FOC for a given LTI plant including time delay are represented in a linear transformation of S 0 at every fixed frequency. It is also shown that the whole set of FOC satisfying the given gain and/or phase margins for the plant is determined by the slightly modified linear transformation of S 0 at every fixed frequency. Examples are given for illustration</abstract><pub>IEEE</pub><doi>10.1109/SICE.2006.315251</doi><tpages>6</tpages></addata></record> |
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subjects | Automotive engineering Control design Control systems Delay effects Educational institutions Equations Feedback First order controller Frequency Gain and Phase margins Graphics Stability Stabilizer Time delay |
title | The Entire Set of First Order Controllers Guaranteed Stability and Gain/Phase Margins for a LTI Plant with Time Delay |
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