Event-driven optimal control of continuous Petri nets
Optimally controlling a hybrid system is a challenging problem for which mainly continuous-time and discrete-time methods have been suggested. In this paper, the problem of optimal control is addressed in the framework of continuous Petri nets, a kind of hybrid systems whose state evolution is piece...
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| creator | Julvez, J. Bemporad, A. Recalde, L. Silva, M. |
| description | Optimally controlling a hybrid system is a challenging problem for which mainly continuous-time and discrete-time methods have been suggested. In this paper, the problem of optimal control is addressed in the framework of continuous Petri nets, a kind of hybrid systems whose state evolution is piecewise linear. The proposed approach consists of transforming the continuous Petri net into an equivalent hybrid system whose evolution is described by means of discrete-event steps. In particular, each step coincides with the occurrence of an event in the continuous Petri net. Thus, the number of steps required to know the behavior of the Petri net is minimum, while the accuracy is completely preserved. It is shown how to design a mixed integer linear programming problem in order to compute the optimal control solution of different performance criteria. |
| doi_str_mv | 10.1109/CDC.2004.1428608 |
| format | Conference Proceeding |
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It is shown how to design a mixed integer linear programming problem in order to compute the optimal control solution of different performance criteria.</description><subject>Applied sciences</subject><subject>Computer science; control theory; systems</subject><subject>Continuous time systems</subject><subject>Control system synthesis</subject><subject>Control systems</subject><subject>Control theory. Systems</subject><subject>Discrete event systems</subject><subject>Equations</subject><subject>Exact sciences and technology</subject><subject>Mathematical programming</subject><subject>Mixed integer linear programming</subject><subject>Operational research and scientific management</subject><subject>Operational research. Management science</subject><subject>Optimal control</subject><subject>Petri nets</subject><subject>Piecewise linear techniques</subject><subject>Sampling methods</subject><subject>Switches</subject><issn>0191-2216</issn><isbn>9780780386822</isbn><isbn>0780386825</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2004</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpFUEtLxDAYDKjguu5d8NKLx9Yv73xHqesDFnYPel7SNoFIbUuSFfz3FisIAzMwwzAMITcUKkoB7-vHumIAoqKCGQXmjGxQG5jBjTKMnZMVUKQlY1RdkquUPgDAgFIrIrdfbshlF8PMxTjl8Gn7oh2HHMe-GP2vDMNpPKXi4HIMxeByuiYX3vbJbf54Td6ftm_1S7nbP7_WD7syMKFzKbhCqRovVOMa06JDBh6sbaTkVGvNlWqNlIKLRnW6E52mXiNYKR0Cdo6vyd3SO9nU2t5HO7QhHac4r4zfR6oFakScc7dLLjjn_u3lDf4D29tRtQ</recordid><startdate>2004</startdate><enddate>2004</enddate><creator>Julvez, J.</creator><creator>Bemporad, A.</creator><creator>Recalde, L.</creator><creator>Silva, M.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope><scope>IQODW</scope></search><sort><creationdate>2004</creationdate><title>Event-driven optimal control of continuous Petri nets</title><author>Julvez, J. ; Bemporad, A. ; Recalde, L. ; Silva, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i247t-436956bf46beb8c9e920f0aab5531777366c855434b6d7d4d71f790a55e909de3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Continuous time systems</topic><topic>Control system synthesis</topic><topic>Control systems</topic><topic>Control theory. Systems</topic><topic>Discrete event systems</topic><topic>Equations</topic><topic>Exact sciences and technology</topic><topic>Mathematical programming</topic><topic>Mixed integer linear programming</topic><topic>Operational research and scientific management</topic><topic>Operational research. Management science</topic><topic>Optimal control</topic><topic>Petri nets</topic><topic>Piecewise linear techniques</topic><topic>Sampling methods</topic><topic>Switches</topic><toplevel>online_resources</toplevel><creatorcontrib>Julvez, J.</creatorcontrib><creatorcontrib>Bemporad, A.</creatorcontrib><creatorcontrib>Recalde, L.</creatorcontrib><creatorcontrib>Silva, M.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection><collection>Pascal-Francis</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Julvez, J.</au><au>Bemporad, A.</au><au>Recalde, L.</au><au>Silva, M.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Event-driven optimal control of continuous Petri nets</atitle><btitle>2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)</btitle><stitle>CDC</stitle><date>2004</date><risdate>2004</risdate><volume>1</volume><spage>69</spage><epage>74 Vol.1</epage><pages>69-74 Vol.1</pages><issn>0191-2216</issn><isbn>9780780386822</isbn><isbn>0780386825</isbn><abstract>Optimally controlling a hybrid system is a challenging problem for which mainly continuous-time and discrete-time methods have been suggested. In this paper, the problem of optimal control is addressed in the framework of continuous Petri nets, a kind of hybrid systems whose state evolution is piecewise linear. The proposed approach consists of transforming the continuous Petri net into an equivalent hybrid system whose evolution is described by means of discrete-event steps. In particular, each step coincides with the occurrence of an event in the continuous Petri net. Thus, the number of steps required to know the behavior of the Petri net is minimum, while the accuracy is completely preserved. 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| identifier | ISSN: 0191-2216 |
| ispartof | 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004, Vol.1, p.69-74 Vol.1 |
| issn | 0191-2216 |
| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Applied sciences Computer science control theory systems Continuous time systems Control system synthesis Control systems Control theory. Systems Discrete event systems Equations Exact sciences and technology Mathematical programming Mixed integer linear programming Operational research and scientific management Operational research. Management science Optimal control Petri nets Piecewise linear techniques Sampling methods Switches |
| title | Event-driven optimal control of continuous Petri nets |
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