Investigating new classes of sampling sequences: Application to the stability analysis of decentralized sampled-data systems

Etienne, Lucien; Motchon, K.M.D.; Fiter, Christophe

doi:10.1109/cdc40024.2019.9029670

Cited by 3 publications

(1 citation statement)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…By contrast, in the structured inputoutput approach developed here, characteristics of the sample and update event sequences are bounded individually, and with respect to each other. Recent related work on asyncrohonous sample-data systems within a state-space context can be found in [19]- [22]. While gain bounds on related operators play a role in some of these papers, the combined exploitation of gain and passivity properties is not considered.…”

Section: Introductionmentioning

confidence: 99%

Integral quadratic constraints for asynchronous sample-and-hold links

Cantoni¹,

Kao²,

Fabbro³

2019

Preprint

View full text Add to dashboard Cite

A model is proposed for a class of asynchronous sample-and-hold operators that is relevant in the analysis of embedded and networked systems. The model is parametrized by characteristics of the corresponding time-varying input-output delay. Uncertainty in the relationship between the timing of zero-order-hold update events at the output and the possibly aperiodic sampling events at the input means that the delay does not always reset to a fixed value. This is distinct from the well-studied synchronous case in which the delay intermittently resets to zero at output update times. The main result provides a family of integral quadratic constraints that covers the proposed model. To demonstrate an application of this result, robust L 2 stability and performance certificates are devised for an asynchronous sampled-data implementation of a feedback loop around given linear time-invariant continuous-time open-loop dynamics. Numerical examples are also presented.

show abstract

Section: Introductionmentioning

confidence: 99%

Integral quadratic constraints for asynchronous sample-and-hold links

Cantoni¹,

Kao²,

Fabbro³

2019

Preprint

View full text Add to dashboard Cite

show abstract

Investigating new classes of sampling sequences: Application to the stability analysis of decentralized sampled-data systems

Etienne

Motchon

Fiter

2019

2019 IEEE 58th Conference on Decision and Control (CDC)

Self Cite

View full text Add to dashboard Cite

In this work, the stability problem of a decentralized control system where different sensors and actuators may communicate independently in an aperiodic and asynchronous manner is investigated. In order to conduct the analysis, we shift the focus from the decentralized system to the sampling sequence induced by several components communicating independently from each other. First it is shown how those sampling sequences at the level of the local component combine with each other when considering the overall system. Then the results obtained on the sampling sequence are applied, along with Lyapunov stability arguments in order to study the stability of decentralized sampled-data systems. Some experimental results obtained on an inverted pendulum benchmark are presented, to show the usefulness of the approach.

show abstract