Periodic Event-Triggered Control for Linear Systems

Postoyan, Romain; Anta, Adolfo; Heemels, W.P.M.H.; Tabuada, Paulo; Nešić, Dragan

doi:10.1109/tac.2012.2220443

Cited by 1,196 publications

(867 citation statements)

References 34 publications

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“…We model the closed-loop system (1)-(2) (and possibly auxiliary dynamics for χ) as an impulsive system like in [9], which…”

Section: Problem Statementmentioning

confidence: 99%

“…Note that PETC differs from standard periodic sampled-data control, as in PETC the event times are only a (specific) subset of the sampling times and can be aperiodic. Of course, event-triggered control schemes for discrete-time systems (e.g., [4,6,8,15,18,27]) can also be interpreted as PETC schemes, but these do not take into account the inter-sample behavior. In the past few years, various PETC strategies have been proposed, see, e.g., [9][10][11]13,21].…”

Section: Introductionmentioning

confidence: 99%

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Periodic event-triggered control of nonlinear systems using overapproximation techniques

et al. 2018

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In event-triggered control, the control task consisting of sampling the plant's output and updating the control input is executed whenever a certain event function exceeds a given threshold. The event function typically needs to be monitored continuously, which is difficult to realize in digital implementations. This has led to the development of periodic event-triggered control (PETC), in which the event function is only evaluated periodically. In this paper, we consider general nonlinear continuous event-triggered control (CETC) systems, and present a method to transform the CETC system into a PETC system. In particular, we provide an explicit bound on the sampling period at which the event function is evaluated and we present a constructive procedure to redesign the triggering condition. The latter is obtained by upper-bounding the evolution of the event function of the CETC system between two successive sampling instants by a linear time-invariant system and then by using convex overapproximation techniques. Using this approach, we are able to preserve the control performance guarantees (e.g., asymptotic stability with a certain decay rate) of the original CETC system.

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“…We model the closed-loop system (1)-(2) (and possibly auxiliary dynamics for χ) as an impulsive system like in [9], which…”

Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Periodic event-triggered control of nonlinear systems using overapproximation techniques

et al. 2018

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“…The inequality δ 2 ≤ 1 implies that δ 2 is a free binary variable. If δ 1 = 0, then δ 2 ≤ 0 holds, that is, δ 2 = δ 3 = · · · = δ N s = 0 holds from (9). Then, Problem 2 is equivalent to the following problem.…”

Section: Solution Methods For Problemmentioning

confidence: 99%

“…From this viewpoint, event-triggered control and selftriggered control have been proposed so far (see e.g., [2], [3], [7]- [9], [14], [15], [18], [19], [21]- [24]). In eventtriggered control, the measured signal is sent to the controller only when a certain triggering condition on the measured signal is satisfied.…”

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confidence: 99%

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Event-Triggered and Self-Triggered Control for Networked Control Systems Using Online Optimization

Kobayashi

Hiraishi

2016

IEICE Trans. Fundamentals

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SUMMARY Event-triggered and self-triggered control methods are an important control strategy in networked control systems. Event-triggered control is a method that the measured signal is sent to the controller (i.e., the control input is recomputed) only when a certain condition is satisfied. Selftriggered control is a method that the control input and the (non-uniform) sampling interval are computed simultaneously. In this paper, we propose new methods of event-triggered control and self-triggered control from the viewpoint of online optimization (i.e., model predictive control). In selftriggered control, the control input and the sampling interval are obtained by solving a pair of a quadratic programming (QP) problem and a mixed integer linear programming (MILP) problem. In event-triggered control, whether the control input is updated or not is determined by solving two QP problems. The effectiveness of the proposed methods is presented by numerical examples.

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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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Periodic Event-Triggered Control for Linear Systems

Cited by 1,196 publications

References 34 publications

Periodic event-triggered control of nonlinear systems using overapproximation techniques

Periodic event-triggered control of nonlinear systems using overapproximation techniques

Event-Triggered and Self-Triggered Control for Networked Control Systems Using Online Optimization

Networked Control Systems

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