Sporadic event-based control of first-order linear stochastic systems

Henningsson, Toivo; Johannesson, Erik; Cervin, Anton

doi:10.1016/j.automatica.2008.03.026

Cited by 271 publications

(165 citation statements)

References 5 publications

(7 reference statements)

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“…Assumption 1 holds for most CETC designs proposed in literature, including [1,5,7,11,13,15,16,22,24,25]. It implies that the set Ω is forward invariant for the closedloop CETC system (3) (i.e., that all solutions starting in Ω remain in Ω for all t ∈ R 0 ), and rules out finite escape times and Zeno-behaviour (an infinite number of events in a finite time interval) that would prevent global existence of all solutions starting in Ω.…”

Section: Remarkmentioning

confidence: 99%

“…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]. However, to the best of the authors' knowledge, there are hardly any design methods for PETC for nonlinear continuous-time systems.…”

Section: Introductionmentioning

confidence: 99%

“…This procedure is typically executed in a time-triggered fashion, which may lead to a waste of communication and energy resources, as the execution of the control task is done irrespective of whether there actually is a need for a control update or not. To mitigate the unnecessary waste of resources, various event-triggered control (ETC) strategies have been proposed in the recent literature, see, e.g., [3,5,7,11,13,16,17,22,24,25]. In ETC, the control task is executed after the occurrence of an event, generated by some well-designed triggering condition, rather than after a fixed period of time, as in conventional periodic sampled-data control.…”

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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Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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“…Studies by Arzen (1999), Astrom and Bernhardsson (2002), and Henningsson et al (2008) have demonstrated the ability of sporadic sampling to reduce the effective sampling rate provided the exogenous disturbances of the control system have a bounded rate of change. Table V of Premaratne et al (2017) provides empirical evidence that sporadic sampling can reduce the likelihood of packet drops due to decreased transmission.…”

Section: Motivationmentioning

confidence: 99%

Bandwidth Reduction and Convergence Analysis of Extremum Seeking Control with Feedback Encoding

Wijesinghe

Premaratne

2016

Front. Mech. Eng.

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Frequently, a physical plant of a control system has an optimum operating point such as the spark (or injection) time of an internal combustion engine that results in maximum torque. Extremum Seeking Control (ESC) is a method of adaptive control capable of locating and maintaining a plant at such an optimum operating point in real time. It is capable of doing so with minimal a priori knowledge of the plant and can also track slowly varying changes. Input perturbed ESC schemes that use periodic dither signals have the disadvantage of requiring a high bandwidth for sampling and correlating the plant output with the dither signal. If the feedback path was to be implemented over a packet switched communication network, the high bandwidth requirement could result in increased congestion and consequently packet delays and dropouts. As a solution encoding using sporadic (aperiodic) sampling techniques can be used in the feedback path of the ESC scheme to reduce the required bandwidth. However, in order to ensure convergence of the ESC scheme with encoding, the effect of the signal reconstruction error due to encoding on the critical correlation stage has to be investigated. The contribution of this paper is an investigation of the convergence requirements and bandwidth performance of two encoding schemes; Memory-Based Event Triggering (MBET) and Event Triggered Adaptive Differential Modulation (ETADM). The results show that MBET can fail for objective functions with plateaus. ETADM fails when the number of ETADM steps used for reconstructing the plant output per perturbation cycle is too low to allow correlation. In terms of bandwidth reduction MBET performs better than ETADM (97% and 70%, respectively). However, the use of MBET results in a longer convergence time.

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“…It has been discussed for real-time scheduling of stabilizing control systems [34], stabilization [35] and robustness [36], [37] of control systems, and nonlinear control systems [38]. It has also been analyzed rigorously for a class of first-order linear stochastic systems [39]. Focusing on system stability, such rigorous analysis and development are carried out for control systems with a single control task.…”

Section: Related Workmentioning

confidence: 99%

Local Adjustment and Global Adaptation of Control Periods for QoC Management of Control Systems

Tian

Jiang

Levy

et al. 2012

IEEE Trans. Contr. Syst. Technol.

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Abstract-Linking real-time schedulability directly to the Quality of Control (QoC), the ultimate goal of a control system, a hierarchical feedback QoC management framework with the Fixed Priority (FP) and the Earliest-Deadline-First (EDF) policies as plug-ins is proposed in this paper for real-time control systems with multiple control tasks. It uses a task decomposition model for continuous QoC evaluation even in overload conditions, and then employs heuristic rules to adjust the period of each of the control tasks for QoC improvement. If the total requested workload exceeds the desired value, global adaptation of control periods is triggered for workload maintenance. A sufficient stability condition is derived for a class of control systems with delay and period switching of the heuristic rules. Examples are given to demonstrate the proposed approach.

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Sporadic event-based control of first-order linear stochastic systems

Cited by 271 publications

References 5 publications

Periodic event-triggered control of nonlinear systems using overapproximation techniques

Periodic event-triggered control of nonlinear systems using overapproximation techniques

Bandwidth Reduction and Convergence Analysis of Extremum Seeking Control with Feedback Encoding

Local Adjustment and Global Adaptation of Control Periods for QoC Management of Control Systems

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