A Stabilizing Model Predictive Control Scheme With Arbitrary Prediction Horizon for Switched Linear Systems
This letter deals with the design and analysis of a stabilizing model predictive control (MPC) scheme for discrete-time switched linear systems with at least one stabilizable subsystem. An approach for pruning the switching sequences is proposed which is used for reducing the online computation and...
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Veröffentlicht in: | IEEE control systems letters 2022, Vol.6, p.2461-2466 |
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description | This letter deals with the design and analysis of a stabilizing model predictive control (MPC) scheme for discrete-time switched linear systems with at least one stabilizable subsystem. An approach for pruning the switching sequences is proposed which is used for reducing the online computation and ensuring stability of the MPC scheme. With the pruning approach, the value function of the MPC scheme becomes an exponential Lyapunov function (ELF). Consequently, the MPC scheme results in globally exponentially stable (GES) closed-loop dynamics for switched linear systems for all prediction horizons. Feasibility of the MPC scheme is discussed and simulation results are given for illustrating the effectiveness of the MPC scheme. |
doi_str_mv | 10.1109/LCSYS.2022.3164768 |
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Augustine, Midhun ; Patil, Deepak U.</creator><creatorcontrib>T. Augustine, Midhun ; Patil, Deepak U.</creatorcontrib><description>This letter deals with the design and analysis of a stabilizing model predictive control (MPC) scheme for discrete-time switched linear systems with at least one stabilizable subsystem. An approach for pruning the switching sequences is proposed which is used for reducing the online computation and ensuring stability of the MPC scheme. With the pruning approach, the value function of the MPC scheme becomes an exponential Lyapunov function (ELF). Consequently, the MPC scheme results in globally exponentially stable (GES) closed-loop dynamics for switched linear systems for all prediction horizons. Feasibility of the MPC scheme is discussed and simulation results are given for illustrating the effectiveness of the MPC scheme.</description><identifier>ISSN: 2475-1456</identifier><identifier>EISSN: 2475-1456</identifier><identifier>DOI: 10.1109/LCSYS.2022.3164768</identifier><identifier>CODEN: ICSLBO</identifier><language>eng</language><publisher>IEEE</publisher><subject>Costs ; Geophysical measurement techniques ; Ground penetrating radar ; Indexes ; Linear quadratic regulator ; Linear systems ; model predictive control ; Stability criteria ; switched linear system ; Switches</subject><ispartof>IEEE control systems letters, 2022, Vol.6, p.2461-2466</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c197t-e69c77e9bf6cd9b56e493c35aba4d67c36c82f0e68e555036d312b85d4d698303</citedby><cites>FETCH-LOGICAL-c197t-e69c77e9bf6cd9b56e493c35aba4d67c36c82f0e68e555036d312b85d4d698303</cites><orcidid>0000-0002-0942-8703 ; 0000-0002-2897-2587</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9749121$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,4024,27923,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9749121$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>T. Augustine, Midhun</creatorcontrib><creatorcontrib>Patil, Deepak U.</creatorcontrib><title>A Stabilizing Model Predictive Control Scheme With Arbitrary Prediction Horizon for Switched Linear Systems</title><title>IEEE control systems letters</title><addtitle>LCSYS</addtitle><description>This letter deals with the design and analysis of a stabilizing model predictive control (MPC) scheme for discrete-time switched linear systems with at least one stabilizable subsystem. An approach for pruning the switching sequences is proposed which is used for reducing the online computation and ensuring stability of the MPC scheme. With the pruning approach, the value function of the MPC scheme becomes an exponential Lyapunov function (ELF). Consequently, the MPC scheme results in globally exponentially stable (GES) closed-loop dynamics for switched linear systems for all prediction horizons. Feasibility of the MPC scheme is discussed and simulation results are given for illustrating the effectiveness of the MPC scheme.</description><subject>Costs</subject><subject>Geophysical measurement techniques</subject><subject>Ground penetrating radar</subject><subject>Indexes</subject><subject>Linear quadratic regulator</subject><subject>Linear systems</subject><subject>model predictive control</subject><subject>Stability criteria</subject><subject>switched linear system</subject><subject>Switches</subject><issn>2475-1456</issn><issn>2475-1456</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkF9LwzAUxYMoOOa-gL7kC3TmT5M0j6OoEyoKVcSn0ia3Lto1kgZl-_R2bgyfzr3ccy6HH0KXlMwpJfq6yMu3cs4IY3NOZapkdoImLFUioamQp__mczQbhg9CCM2YIkxP0OcCl7FuXOe2rn_HD95Ch58CWGei-wac-z4G3-HSrGAN-NXFFV6ExsVQh83R6Hu89MFtR219wOWPi6Pf4sL1UI_7ZoiwHi7QWVt3A8wOOkUvtzfP-TIpHu_u80WRGKpVTEBqoxToppXG6kZISDU3XNRNnVqpDJcmYy0BmYEQgnBpOWVNJux41RknfIrY_q8JfhgCtNVXcOuxb0VJtSNW_RGrdsSqA7ExdLUPOQA4BrRKNWWU_wIp4mkE</recordid><startdate>2022</startdate><enddate>2022</enddate><creator>T. Augustine, Midhun</creator><creator>Patil, Deepak U.</creator><general>IEEE</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-0942-8703</orcidid><orcidid>https://orcid.org/0000-0002-2897-2587</orcidid></search><sort><creationdate>2022</creationdate><title>A Stabilizing Model Predictive Control Scheme With Arbitrary Prediction Horizon for Switched Linear Systems</title><author>T. Augustine, Midhun ; Patil, Deepak U.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c197t-e69c77e9bf6cd9b56e493c35aba4d67c36c82f0e68e555036d312b85d4d698303</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Costs</topic><topic>Geophysical measurement techniques</topic><topic>Ground penetrating radar</topic><topic>Indexes</topic><topic>Linear quadratic regulator</topic><topic>Linear systems</topic><topic>model predictive control</topic><topic>Stability criteria</topic><topic>switched linear system</topic><topic>Switches</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>T. Augustine, Midhun</creatorcontrib><creatorcontrib>Patil, Deepak U.</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>CrossRef</collection><jtitle>IEEE control systems letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>T. Augustine, Midhun</au><au>Patil, Deepak U.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Stabilizing Model Predictive Control Scheme With Arbitrary Prediction Horizon for Switched Linear Systems</atitle><jtitle>IEEE control systems letters</jtitle><stitle>LCSYS</stitle><date>2022</date><risdate>2022</risdate><volume>6</volume><spage>2461</spage><epage>2466</epage><pages>2461-2466</pages><issn>2475-1456</issn><eissn>2475-1456</eissn><coden>ICSLBO</coden><abstract>This letter deals with the design and analysis of a stabilizing model predictive control (MPC) scheme for discrete-time switched linear systems with at least one stabilizable subsystem. An approach for pruning the switching sequences is proposed which is used for reducing the online computation and ensuring stability of the MPC scheme. With the pruning approach, the value function of the MPC scheme becomes an exponential Lyapunov function (ELF). Consequently, the MPC scheme results in globally exponentially stable (GES) closed-loop dynamics for switched linear systems for all prediction horizons. Feasibility of the MPC scheme is discussed and simulation results are given for illustrating the effectiveness of the MPC scheme.</abstract><pub>IEEE</pub><doi>10.1109/LCSYS.2022.3164768</doi><tpages>6</tpages><orcidid>https://orcid.org/0000-0002-0942-8703</orcidid><orcidid>https://orcid.org/0000-0002-2897-2587</orcidid></addata></record> |
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subjects | Costs Geophysical measurement techniques Ground penetrating radar Indexes Linear quadratic regulator Linear systems model predictive control Stability criteria switched linear system Switches |
title | A Stabilizing Model Predictive Control Scheme With Arbitrary Prediction Horizon for Switched Linear Systems |
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