Stability Analysis of First Order Plus Time Delay System under PI & PID Control for Simultaneous Parameter Variation
This paper deals with a method of estimation of robust dead-time for first order plus time delay (FOPTD) process which does not violate the closed loop stability when Proportional-Integral (PI) parameters and Proportional-Integral-Derivative (PID) parameters as suggested by popular tuning techniques...
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creator | Vijayan, V. Narayanan, S. Kanagasabapathy, P. Prakash, J. |
description | This paper deals with a method of estimation of robust dead-time for first order plus time delay (FOPTD) process which does not violate the closed loop stability when Proportional-Integral (PI) parameters and Proportional-Integral-Derivative (PID) parameters as suggested by popular tuning techniques, have been used. Using the Hermite-Biehler Theorem applicable to quasi polynomials, we estimate the lower bound value of (T/L) and then the range of L for the two controller modes. This investigation will help to infer the amount of system parameters that can be tolerated before control system becomes unstable for the two controller modes. |
doi_str_mv | 10.1109/INDCON.2005.1590127 |
format | Conference Proceeding |
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Using the Hermite-Biehler Theorem applicable to quasi polynomials, we estimate the lower bound value of (T/L) and then the range of L for the two controller modes. 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Using the Hermite-Biehler Theorem applicable to quasi polynomials, we estimate the lower bound value of (T/L) and then the range of L for the two controller modes. This investigation will help to infer the amount of system parameters that can be tolerated before control system becomes unstable for the two controller modes.</description><subject>Closed loop systems</subject><subject>Control systems</subject><subject>Delay effects</subject><subject>Frequency response</subject><subject>Hermite-Biehler Theorem</subject><subject>Inspection</subject><subject>PI & PID Stabilization</subject><subject>Polynomials</subject><subject>Robust control</subject><subject>Robust stability</subject><subject>Stability analysis</subject><subject>Three-term control</subject><issn>2325-940X</issn><isbn>0780395034</isbn><isbn>9780780395039</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2005</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotkDFPwzAUhC0BEgX6C7p4Ykt5dmwnHquUQqWqrdSC2KqX2pGMnATZ7pB_TwRd7ob77oYjZMZgzhjol_V2We22cw4g50xqYLy4IQ9QlJBrCbm4JROec5lpAV_3ZBrjNwCMNGNSTEg6JKydd2mgiw79EF2kfUNXLsREd8HYQPf-EunRtZYurceBHoaYbEsv3V-4ps-jLGnVdyn0njZ9oAfXXnzCzvZjc48BW5tG9hODw-T67oncNeijnV79kXysXo_Ve7bZva2rxSZzrJApQya0yhUwrVR51pKXZ2OMOJtaokYFNWPKCoFNAaIxoi7HOzhXRjeysCjq_JHM_nedtfb0E1yLYThdT8p_ARQdW9o</recordid><startdate>2005</startdate><enddate>2005</enddate><creator>Vijayan, V.</creator><creator>Narayanan, S.</creator><creator>Kanagasabapathy, P.</creator><creator>Prakash, J.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>2005</creationdate><title>Stability Analysis of First Order Plus Time Delay System under PI & PID Control for Simultaneous Parameter Variation</title><author>Vijayan, V. ; Narayanan, S. ; Kanagasabapathy, P. ; Prakash, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-a149636019668c9528cddd4cdb5a9a60b116e44af704fd4b8109226d9f57ea4b3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Closed loop systems</topic><topic>Control systems</topic><topic>Delay effects</topic><topic>Frequency response</topic><topic>Hermite-Biehler Theorem</topic><topic>Inspection</topic><topic>PI & PID Stabilization</topic><topic>Polynomials</topic><topic>Robust control</topic><topic>Robust stability</topic><topic>Stability analysis</topic><topic>Three-term control</topic><toplevel>online_resources</toplevel><creatorcontrib>Vijayan, V.</creatorcontrib><creatorcontrib>Narayanan, S.</creatorcontrib><creatorcontrib>Kanagasabapathy, P.</creatorcontrib><creatorcontrib>Prakash, J.</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>Vijayan, V.</au><au>Narayanan, S.</au><au>Kanagasabapathy, P.</au><au>Prakash, J.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Stability Analysis of First Order Plus Time Delay System under PI & PID Control for Simultaneous Parameter Variation</atitle><btitle>2005 Annual IEEE India Conference - Indicon</btitle><stitle>INDCON</stitle><date>2005</date><risdate>2005</risdate><spage>73</spage><epage>77</epage><pages>73-77</pages><issn>2325-940X</issn><isbn>0780395034</isbn><isbn>9780780395039</isbn><abstract>This paper deals with a method of estimation of robust dead-time for first order plus time delay (FOPTD) process which does not violate the closed loop stability when Proportional-Integral (PI) parameters and Proportional-Integral-Derivative (PID) parameters as suggested by popular tuning techniques, have been used. Using the Hermite-Biehler Theorem applicable to quasi polynomials, we estimate the lower bound value of (T/L) and then the range of L for the two controller modes. This investigation will help to infer the amount of system parameters that can be tolerated before control system becomes unstable for the two controller modes.</abstract><pub>IEEE</pub><doi>10.1109/INDCON.2005.1590127</doi><tpages>5</tpages></addata></record> |
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source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Closed loop systems Control systems Delay effects Frequency response Hermite-Biehler Theorem Inspection PI & PID Stabilization Polynomials Robust control Robust stability Stability analysis Three-term control |
title | Stability Analysis of First Order Plus Time Delay System under PI & PID Control for Simultaneous Parameter Variation |
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