A state-feedback approach to event-based control

Lunze, Jan; Lehmann, Daniel

doi:10.1016/j.automatica.2009.10.035

Cited by 934 publications

(523 citation statements)

References 13 publications

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“…Similarly, the case in which the controller is not implemented using zero-order-hold functions can be considered as long as the problem can be modeled by (3). For instance, when using the model-based technique of [16],x would be equal to x s in [16], which is the model-based estimate of x.…”

Section: Remarkmentioning

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%

Periodic event-triggered control of nonlinear systems using overapproximation techniques

et al. 2018

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“…Possible sporadic sampling techniques include Memory-Based Event Triggering (MBET) proposed by Arzen (1999) and further developed in Lehmann and Lunze (2010) and Lunze and Lehmann (2010). In Event Triggered Adaptive Delta Modulation (ETADM) proposed by Premaratne et al (2013), event triggering is combined with Adaptive Delta Modulation (ADM).…”

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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“…This has produced the so-called model-based event-triggered control discussed in [6], [7]. This approach has been recently effectively exploited in conjunction with SMC [8]- [10], and model predictive control (MPC), even in case of mixed logical dynamical (MLD) systems [11]- [14].…”

Section: Introductionmentioning

confidence: 99%

Event-Triggered Sliding Mode Control algorithms for a class of uncertain nonlinear systems: experimental assessment

Cucuzzella

Incremona

Ferrara

2016

2016 American Control Conference (ACC)

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Abstract-An experimental assessment of the recently introduced event-triggered sliding mode control approach is presented in this paper. The major design requirement, in this approach, is to reduce the number of transmissions over the network, while guaranteeing that the sliding mode control is stabilizing with appropriate robustness in front of matched uncertainties. In the present paper a novel Event-Triggered Sliding Mode Control algorithm is first introduced and discussed and then it is compared with two different Model-Based Event-Triggered Sliding Mode Control algorithms. Finally, their experimental assessment is reported, obtaining satisfactory performance consistent with the theoretical treatment and fulfilling all the design requirements.

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A state-feedback approach to event-based control

Cited by 934 publications

References 13 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

Event-Triggered Sliding Mode Control algorithms for a class of uncertain nonlinear systems: experimental assessment

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