Self-triggered sampling for second-moment stability of state-feedback controlled SDE systems
2015 (English)In: Automatica, ISSN 0005-1098, Vol. 54, 8-15 p.Article in journal (Refereed) Published
Event-triggered and self-triggered control, whereby the times for controller updates are computed from sampled data, have recently been shown to reduce the computational load or increase task periods for real-time embedded control systems. In this work, we propose a self-triggered scheme for nonlinear controlled stochastic differential equations with additive noise terms. We find that the family of trajectories generated by these processes demands a departure from the standard deterministic approach to event- and self-triggering, and, for that reason, we use the statistics of the sampled-data system to derive a self-triggering update condition that guarantees second-moment stability. We show that the length of the times between controller updates as computed from the proposed scheme is strictly positive and provide related examples.
Place, publisher, year, edition, pages
2015. Vol. 54, 8-15 p.
Embedded systems, Feedback stabilization, Real-time systems, Stochastic control, Stochastic systems, Additive noise, Controllers, Differential equations, Feedback, Interactive computer systems, Nonlinear equations, Real time systems, State feedback, Stochastic control systems, System stability, Deterministic approach, Embedded control systems, Sampled data systems, Second moment stabilities, Self-triggered controls, Stochastic differential equations, Sampled data control systems
IdentifiersURN: urn:nbn:se:kth:diva-168331DOI: 10.1016/j.automatica.2015.01.020ISI: 000353092100002ScopusID: 2-s2.0-84925405906OAI: oai:DiVA.org:kth-168331DiVA: diva2:818201
FunderSwedish Research Council, C0046001
QC 201506082015-06-082015-06-022015-08-05Bibliographically approved