Stability analysis of nonlinear networked control systems with asynchronous communication: A small-gain approach

Heemels, W.P.M.H.; Borgers, D.P.; Wouw, Nathan van de

doi:10.1109/cdc.2013.6760614

Cited by 40 publications

(42 citation statements)

References 18 publications

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“…Conditions (8)- (9) imply that the systemẋ = f (x, e) is L 2 -gain stable from (W y , W u ) to (H y , H u , δ y , √ δ u ). This robustness property is useful to interpret the interconnection between the x-system and the e-system.…”

Section: Assumptionmentioning

confidence: 99%

“…This robustness property is useful to interpret the interconnection between the x-system and the e-system. Indeed, condition (9) suggests that the x-system is affected by the esystem through the input (W y (e y ), W u (e u )) and similarly the e-system is affected by the x-system via the output (H y , H u , δ y , √ δ u ). This interpretation was originally proposed in [11] in the context of time-triggered control.…”

Section: Assumptionmentioning

confidence: 99%

“…To the best of our knowledge, asynchronous time-triggered sampling has only been studied in [4], [9]. The authors of [9] consider a different implementation scenario, while the results in [4] are dedicated to a particular class of nonlinear systems where the plant and the controller dynamics are globally Lipschitz, which is relaxed in this paper.…”

Section: Introductionmentioning

confidence: 96%

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Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions

Abdelrahim

Daafouz

Nešić

2015

2015 54th IEEE Conference on Decision and Control (CDC)

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We study the event-triggered stabilization of nonlinear systems using dynamic feedback laws. In particular, we consider the scenario where the plant measurements and the control input are sampled using two independent triggering rules, which leads to asynchronous transmissions. The proposed mechanisms enforce a uniform amount of time between any two transmissions generated by each triggering condition. To that end, we develop and combine time-triggered and eventtriggered techniques. We ensure a global asymptotic stability property for the closed-loop system. We present a systematic way to apply the approach to linear time-invariant systems, for which the conditions are formulated as a linear matrix inequality. We compare the obtained results in this particular case with existing techniques in the literature on numerical examples. We emphasize that the presented results are also new in the context of time-triggered control as we explain.

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Section: Assumptionmentioning

confidence: 99%

Section: Assumptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

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Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions

Abdelrahim

Daafouz

Nešić

2015

2015 54th IEEE Conference on Decision and Control (CDC)

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“…This leads to a very systematic and modular setup, since when changing one subsystem, one only needs to find the ISS gains related to the changed subsystem in order to redo the stability analysis. Another advantage of the new approach is that it is much more general than the approach of [10], which makes it much easier to extend the results to more general control setups, to include other network-induced phenomena (e.g., quantization, transmission delays, packet losses, etc. ), and even to include different types of communication networks, such as perhaps event-triggered networks.…”

Section: Introductionmentioning

confidence: 98%

“…In [10], we derive MATIs for each local network using a small-gain approach in order to guarantee closed-loop stability. In this paper we tackle a similar problem, but we take a different approach and make use of a small-gain theorem for general networks of interconnected (hybrid) systems which are input-to-state stable (ISS), developed in [3,4], to derive network parameters for each local network, which guarantee ISS of the complete system.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of large-scale networked control systems with local networks

Borgers

Heemels

2014

Proceedings of the 17th International Conference on Hybrid Systems: Computation and Control

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In this paper we consider large-scale networked control systems (NCSs) with multiple communication networks connecting sensors, controllers and actuators. Using a recently developed small-gain theorem for general interconnections of hybrid systems, we are able to find to find a maximum allowable transmission interval (MATI) and a maximum allowable delay (MAD) for each individual network, such that input-to-state stability of the complete NCS is guaranteed.

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Networked Control Systems

Liu,

Selivanov,

Fridman

2024

Wiley Encyclopedia of Electrical and Electronics Engineering

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Networked control systems (NCSs) are spatially distributed systems in which the sensors, actuators, and controllers are connected through a shared communication network. The advantages of the network architectures include reduced system wiring, plug and play devices, increased system agility, and ease of system diagnosis and maintenance. Meanwhile, the presence of a communication network in a control loop induces many imperfections. Therefore, the analysis and synthesis of NCSs have received considerable attention in the last two decades. In this article, we review fundamental communication imperfections in NCSs and the main approaches to the modeling of NCSs. Then, recent results on time‐delay approach to event‐triggered control are recalled. The article highlights time‐delay approach developed to modeling, analysis and synthesis of NCSs, under communication constraints, with a particular focus on Round‐Robin, Try‐once‐discard, and stochastic protocols. The time‐delay approach allows communication delays to be larger than the sampling intervals in the presence of scheduling protocols. Moreover, some results on networked control of distributed parameter systems are introduced. Finally, some open problems are briefly addressed.

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Stability analysis of nonlinear networked control systems with asynchronous communication: A small-gain approach

Cited by 40 publications

References 18 publications

Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions

Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions

Stability analysis of large-scale networked control systems with local networks

Networked Control Systems

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