Event-Triggering in Distributed Networked Control Systems
This paper examines event-triggered data transmission in distributed networked control systems with packet loss and transmission delays. We propose a distributed event-triggering scheme, where a subsystem broadcasts its state information to its neighbors only when the subsystem's local state er...
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| Published in | IEEE transactions on automatic control Vol. 56; no. 3; pp. 586 - 601 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York, NY
IEEE
01.03.2011
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
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| Abstract | This paper examines event-triggered data transmission in distributed networked control systems with packet loss and transmission delays. We propose a distributed event-triggering scheme, where a subsystem broadcasts its state information to its neighbors only when the subsystem's local state error exceeds a specified threshold. In this scheme, a subsystem is able to make broadcast decisions using its locally sampled data. It can also locally predict the maximal allowable number of successive data dropouts (MANSD) and the state-based deadlines for transmission delays. Moreover, the designer's selection of the local event for a subsystem only requires information on that individual subsystem. Our analysis applies to both linear and nonlinear subsystems. Designing local events for a nonlinear subsystem requires us to find a controller that ensures that subsystem to be input-to-state stable. For linear subsystems, the design problem becomes a linear matrix inequality feasibility problem. With the assumption that the number of each subsystem's successive data dropouts is less than its MANSD, we show that if the transmission delays are zero, the resulting system is finite-gain Lp stable. If the delays are bounded by given deadlines, the system is asymptotically stable. We also show that those state-based deadlines for transmission delays are always greater than a positive constant. |
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| AbstractList | This paper examines event-triggered data transmission in distributed networked control systems with packet loss and transmission delays. We propose a distributed event-triggering scheme, where a subsystem broadcasts its state information to its neighbors only when the subsystem's local state error exceeds a specified threshold. In this scheme, a subsystem is able to make broadcast decisions using its locally sampled data. It can also locally predict the maximal allowable number of successive data dropouts (MANSD) and the state-based deadlines for transmission delays. Moreover, the designer's selection of the local event for a subsystem only requires information on that individual subsystem. Our analysis applies to both linear and nonlinear subsystems. Designing local events for a nonlinear subsystem requires us to find a controller that ensures that subsystem to be input-to-state stable. For linear subsystems, the design problem becomes a linear matrix inequality feasibility problem. With the assumption that the number of each subsystem's successive data dropouts is less than its MANSD, we show that if the transmission delays are zero, the resulting system is finite-gain Lp stable. If the delays are bounded by given deadlines, the system is asymptotically stable. We also show that those state-based deadlines for transmission delays are always greater than a positive constant. This paper examines event-triggered data transmission in distributed networked control systems with packet loss and transmission delays. We propose a distributed event-triggering scheme, where a subsystem broadcasts its state information to its neighbors only when the subsystem's local state error exceeds a specified threshold. In this scheme, a subsystem is able to make broadcast decisions using its locally sampled data. It can also locally predict the maximal allowable number of successive data dropouts (MANSD) and the state-based deadlines for transmission delays. Moreover, the designer's selection of the local event for a subsystem only requires information on that individual subsystem. Our analysis applies to both linear and nonlinear subsystems. Designing local events for a nonlinear subsystem requires us to find a controller that ensures that subsystem to be input-to-state stable. For linear subsystems, the design problem becomes a linear matrix inequality feasibility problem. With the assumption that the number of each subsystem's successive data dropouts is less than its MANSD, we show that if the transmission delays are zero, the resulting system is finite-gain cal L p stable. If the delays are bounded by given deadlines, the system is asymptotically stable. We also show that those state-based deadlines for transmission delays are always greater than a positive constant. This paper examines event-triggered data transmission in distributed networked control systems with packet loss and transmission delays. We propose a distributed event-triggering scheme, where a subsystem broadcasts its state information to its neighbors only when the subsystem's local state error exceeds a specified threshold. In this scheme, a subsystem is able to make broadcast decisions using its locally sampled data. It can also locally predict the maximal allowable number of successive data dropouts (MANSD) and the state-based deadlines for transmission delays. Moreover, the designer's selection of the local event for a subsystem only requires information on that individual subsystem. Our analysis applies to both linear and nonlinear subsystems. Designing local events for a nonlinear subsystem requires us to find a controller that ensures that subsystem to be input-to-state stable. For linear subsystems, the design problem becomes a linear matrix inequality feasibility problem. With the assumption that the number of each subsystem's successive data dropouts is less than its MANSD, we show that if the transmission delays are zero, the resulting system is finite-gain [Formula Omitted] stable. If the delays are bounded by given deadlines, the system is asymptotically stable. We also show that those state-based deadlines for transmission delays are always greater than a positive constant. |
| Author | Xiaofeng Wang Lemmon, M D |
| Author_xml | – sequence: 1 surname: Xiaofeng Wang fullname: Xiaofeng Wang email: wangx@illinois.edu organization: Dept. of Mech. Sci. & Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA – sequence: 2 givenname: M D surname: Lemmon fullname: Lemmon, M D email: lemmon@nd.edu organization: Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=24105615$$DView record in Pascal Francis |
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| CODEN | IETAA9 |
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| Keywords | Packet switching Decision making Deadline event-triggering Distributed system Transmission zero Transmission time Bounded delay Multicast Asymptotic stability Input to state stability Distributed systems Distributed control Linear matrix inequality Data transmission network Feasibility Finite gain Transmission loss networked control systems (NCS) Triggering Discrete event system |
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| PublicationTitle | IEEE transactions on automatic control |
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| References | ref13 ref12 ref14 ref11 ref10 ref17 ref19 ling (ref23) 2002 ref18 khalil (ref28) 2002 wang (ref1) 2008 arzen (ref16) 1999; 18 ref24 ref26 krtolica (ref8) 1991 ref25 ref20 ref21 ref27 nilsson (ref22) 1998 ref7 wang (ref15) 2009; 54 ref9 ref4 ref3 ref6 ref5 wang (ref2) 2008 |
| References_xml | – ident: ref10 doi: 10.1109/87.998034 – year: 2002 ident: ref28 publication-title: Nonlinear Systems – ident: ref6 doi: 10.1109/70.68074 – start-page: 1225 year: 2002 ident: ref23 article-title: Robust performance of soft real-time networked control systems with data dropouts publication-title: Proc IEEE Conf Decision Control doi: 10.1109/CDC.2002.1184681 – ident: ref11 doi: 10.1109/37.898794 – ident: ref5 doi: 10.1109/CDC.2009.5400300 – ident: ref21 doi: 10.1109/ACC.2008.4587140 – year: 1998 ident: ref22 publication-title: Real-time control systems with delays – ident: ref13 doi: 10.1109/TAC.2007.895913 – ident: ref27 doi: 10.1016/0168-874X(95)00015-L – volume: 54 start-page: 452 year: 2009 ident: ref15 article-title: Self-triggered feedback control systems with finite-gain <formula formulatype="inline"><tex Notation="TeX">${\cal L}_{2}$</tex></formula> stability publication-title: IEEE Trans Autom Control doi: 10.1109/TAC.2009.2012973 – start-page: 2648 year: 1991 ident: ref8 article-title: stability of linear feedback systems with random communication delays publication-title: 1991 American Control Conference ACC doi: 10.23919/ACC.1991.4791880 – start-page: 674 year: 2008 ident: ref2 article-title: Decentralized event-triggering broadcast over networked systems publication-title: Proc Hybrid Syst Computat Control Conf – ident: ref24 doi: 10.1109/ACC.2003.1242490 – ident: ref12 doi: 10.1109/TAC.2004.835360 – volume: 18 start-page: 423 year: 1999 ident: ref16 article-title: A simple event-based PID controller publication-title: Proc 14th IFAC World Congress – ident: ref3 doi: 10.1109/CDC.2008.4739414 – ident: ref7 doi: 10.1109/70.563654 – ident: ref19 doi: 10.1109/CDC.2006.376755 – ident: ref17 doi: 10.1109/CDC.2002.1184368 – ident: ref20 doi: 10.1007/978-3-540-71493-4_30 – ident: ref26 doi: 10.1109/ACC.2006.1656649 – ident: ref18 doi: 10.1109/CDC.2002.1184824 – ident: ref9 doi: 10.1109/9.763226 – ident: ref4 doi: 10.1109/CDC.2008.4738939 – start-page: 3139 year: 2008 ident: ref1 article-title: Event-triggered broadcasting across distributed networked control systems publication-title: Proc Amer Control Conf – ident: ref14 doi: 10.1109/TAC.2007.904277 – ident: ref25 doi: 10.1109/CDC.2003.1272641 |
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| Snippet | This paper examines event-triggered data transmission in distributed networked control systems with packet loss and transmission delays. We propose a... |
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| SubjectTerms | Applied sciences Asymptotic properties Broadcasting Communication system control Computer science; control theory; systems Computer systems and distributed systems. User interface Control system analysis Control systems Control theory. Systems Costs Delay Design engineering Distributed systems Dropouts event-triggering Exact sciences and technology Filtering theory Linear matrix inequalities Linear systems Networked control systems networked control systems (NCS) Nonlinearity Postal services Process control. Computer integrated manufacturing Propagation losses Sampled data Software |
| Title | Event-Triggering in Distributed Networked Control Systems |
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