Transition-time optimization for switched-mode dynamical systems
This note considers the problem of determining optimal switching times at which mode transitions should occur in multimodal, hybrid systems. It derives a simple formula for the gradient of the cost functional with respect to the switching times, and uses it in a gradient-descent algorithm. Much of t...
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| Veröffentlicht in: | IEEE transactions on automatic control 2006-01, Vol.51 (1), p.110-115 |
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| container_title | IEEE transactions on automatic control |
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| creator | Egerstedt, M. Wardi, Y. Axelsson, H. |
| description | This note considers the problem of determining optimal switching times at which mode transitions should occur in multimodal, hybrid systems. It derives a simple formula for the gradient of the cost functional with respect to the switching times, and uses it in a gradient-descent algorithm. Much of the analysis is carried out in the setting of optimization problems involving fixed switching-mode sequences, but a possible extension is pointed out for the case where the switching-mode sequence is a part of the variable. Numerical examples testify to the viability of the proposed approach. |
| doi_str_mv | 10.1109/TAC.2005.861711 |
| format | Article |
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It derives a simple formula for the gradient of the cost functional with respect to the switching times, and uses it in a gradient-descent algorithm. Much of the analysis is carried out in the setting of optimization problems involving fixed switching-mode sequences, but a possible extension is pointed out for the case where the switching-mode sequence is a part of the variable. Numerical examples testify to the viability of the proposed approach.</description><identifier>ISSN: 0018-9286</identifier><identifier>EISSN: 1558-2523</identifier><identifier>DOI: 10.1109/TAC.2005.861711</identifier><identifier>CODEN: IETAA9</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Algorithms ; Applied sciences ; Automatic control ; Computer science; control theory; systems ; Control systems ; Control theory. 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It derives a simple formula for the gradient of the cost functional with respect to the switching times, and uses it in a gradient-descent algorithm. Much of the analysis is carried out in the setting of optimization problems involving fixed switching-mode sequences, but a possible extension is pointed out for the case where the switching-mode sequence is a part of the variable. Numerical examples testify to the viability of the proposed approach.</description><subject>Algorithms</subject><subject>Applied sciences</subject><subject>Automatic control</subject><subject>Computer science; control theory; systems</subject><subject>Control systems</subject><subject>Control theory. 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Systems</topic><topic>Cost function</topic><topic>Dynamical systems</topic><topic>Exact sciences and technology</topic><topic>Gradient-descent algorithms</topic><topic>Hybrid systems</topic><topic>Job shop scheduling</topic><topic>Manufacturing</topic><topic>Mathematical models</topic><topic>Nonlinear systems</topic><topic>Optimal control</topic><topic>Optimization</topic><topic>Piecewise linear techniques</topic><topic>switched dynamical systems</topic><topic>Switches</topic><topic>Switching</topic><topic>switching-time control</topic><topic>Testing</topic><topic>Viability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Egerstedt, M.</creatorcontrib><creatorcontrib>Wardi, Y.</creatorcontrib><creatorcontrib>Axelsson, H.</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>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering 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><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Aerospace Database</collection><jtitle>IEEE transactions on automatic control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Egerstedt, M.</au><au>Wardi, Y.</au><au>Axelsson, H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Transition-time optimization for switched-mode dynamical systems</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>2006-01</date><risdate>2006</risdate><volume>51</volume><issue>1</issue><spage>110</spage><epage>115</epage><pages>110-115</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>This note considers the problem of determining optimal switching times at which mode transitions should occur in multimodal, hybrid systems. 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| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Algorithms Applied sciences Automatic control Computer science control theory systems Control systems Control theory. Systems Cost function Dynamical systems Exact sciences and technology Gradient-descent algorithms Hybrid systems Job shop scheduling Manufacturing Mathematical models Nonlinear systems Optimal control Optimization Piecewise linear techniques switched dynamical systems Switches Switching switching-time control Testing Viability |
| title | Transition-time optimization for switched-mode dynamical systems |
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