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Networked control with stochastic scheduling
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. (Prof. K.H.Johansson)ORCID iD: 0000-0001-7273-4394
Tel Aviv University.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2015 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, no 99Article in journal (Refereed) Published
Abstract [en]

This paper develops the time-delay approach to networked control systems with scheduling protocols, variable delays and variable sampling intervals. The scheduling of sensor communication is defined by a stochastic protocol. Two classes of protocols are considered. The first one is defined by an independent and identically-distributed stochastic process. The activation probability of each sensor node for this protocol is a given constant, whereas it is assumed that collisions occur with a certain probability. The resulting closed-loop system is a stochastic impulsive system with delays both in the continuous dynamics and in the reset equations, where the system matrices have stochastic parameters with Bernoulli distributions. The second scheduling protocol is defined by a discrete-time Markov chain with a known transition probability matrix taking into account collisions. The resulting closed-loop system is a Markovian jump impulsive system with delays both in the continuous dynamics and in the reset equations. Sufficient conditions for exponential mean-square stability of the resulting closed-loop system are derived via a Lyapunov-Krasovskii-based method. The efficiency of the method is illustrated on an example of a batch reactor. It is demonstrated how the time-delay approach allows treating network-induced delays larger than the sampling intervals in the presence of collisions.

Place, publisher, year, edition, pages
IEEE Press, 2015. no 99
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-166786DOI: 10.1109/TAC.2015.2414812ISI: 000367284400026Scopus ID: 2-s2.0-84946781697OAI: oai:DiVA.org:kth-166786DiVA: diva2:812266
Funder
Swedish Research Council
Note

QC 20150605

Available from: 2015-05-18 Created: 2015-05-18 Last updated: 2017-12-04Bibliographically approved

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