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

Cucuzzella, Michele; Incremona, Gian Paolo; Ferrara, Antonella

doi:10.1109/acc.2016.7526701

Cited by 17 publications

(8 citation statements)

References 16 publications

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“…18,19,[22][23][24] In addition, our result also shows that the system trajectories can be bounded within any arbitrary bound around the origin. The difference between the existing technique 20,23,[25][26][27][28][29] and the proposed one is that the convergence rate of system trajectories to the sliding hyperplane is shown by incorporating the dynamic variable into the analysis in the dynamic event-triggering mechanism. This results in a long time for the event generation in the dynamic case.…”

Section: Introductionmentioning

confidence: 98%

Dynamic event‐triggering based design of sliding mode control

Yesmin

Behera

Bera

et al. 2021

Intl J Robust & Nonlinear

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This article presents a new event-triggering based design of sliding mode control (SMC) for the control of a dynamical system against external perturbations. This triggering mechanism aims to generate a sparser sampling pattern than the existing one while achieving the minimum resource utilization. The triggering mechanism employs scalar dynamics, hence it is called the dynamic event-triggering mechanism, which acts as a filter for the triggering condition. The output of this dynamics is used in the event condition in addition to a constant threshold while the part of the event function is fed as an input to this filter. The existing design algorithms for event-triggered SMC may not guarantee an increase in the inter event time for the dynamic event-triggering strategy.An alternative approach to this is proposed for the design of dynamic triggering based SMC where we partially relax the dependency of SMC gain on the event parameter without affecting the steady-state performance for the closed-loop system. It is shown that the proposed design achieves a larger inter event time leading to a sparser triggering sequence. We guarantee the stability by showing the convergence of state trajectories of the closed-loop system within any desired bound around the origin for the proposed triggering mechanism, and also the absence of the Zeno phenomenon in the triggering sequence is established. Finally, an illustration of the proposed scheme is presented in a simulation study for a mass-spring-damper system.

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Section: Introductionmentioning

confidence: 98%

Dynamic event‐triggering based design of sliding mode control

Yesmin

Behera

Bera

et al. 2021

Intl J Robust & Nonlinear

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show abstract

“…In fact, the ETS can greatly reduce the total amount of data transmission over network while guaranteeing the desirable system performance. System with event‐triggered conditions has been applied extensively, such as Markovian jump systems, T‐S fuzzy systems, and uncertain nonlinear systems . There are a lot of triggering conditions that have been put forward.…”

Section: Introductionmentioning

confidence: 99%

“…System with event-triggered conditions has been applied extensively, such as Markovian jump systems, 24 T-S fuzzy systems, 25 and uncertain nonlinear systems. 26 There are a lot of triggering conditions that have been put forward. In the work of Hu et al, 27 linear continuous-time NCSs are considered.…”

Section: Introductionmentioning

confidence: 99%

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Network‐based integral sliding mode control for descriptor systems with event‐triggered sampling scheme

Wang

Zhang

Ren

et al. 2019

Intl J Robust & Nonlinear

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Summary This paper investigates event‐triggered sliding mode control for descriptor systems subject to networked‐induced delay. For handling disturbance and saving data transmission in networks for descriptor systems, sliding model control and event‐triggered control are combined, whereas how to combine them to design a stable controller is challenging due to the complexity of descriptor systems. Firstly, a new discrete event‐triggered scheme is introduced for deciding whether sampled data is sent out or not for networked‐based descriptor systems. Secondly, integral‐type switching surface and event‐triggered scheme are integrated resulting in a novel time‐delay system. The existence condition of integral‐type switching surface and the stability condition of the sliding mode dynamic are presented. An event‐triggered sliding mode controller is derived for driving the closed‐loop system trajectories to the practical switching surface in finite time. Finally, two examples are employed to show the effectiveness and advantages of the proposed method.

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“…Note that a very preliminary version of the theory presented in this paper, where no communication delay was considered, and the proofs of the theoretical results, as well as the discussion about the Zeno behaviour were not included, was provided in Cucuzzella, Incremona, and Ferrara (2016).…”

Section: Introductionmentioning

confidence: 99%

Event-triggered variable structure control

Cucuzzella

Incremona

Ferrara

2019

International Journal of Control

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This paper presents a novel variable structure control (VSC) algorithm of event-triggered (ET) type, capable of dealing with a class of nonlinear uncertain systems. By virtue of its ET nature, the algorithm can be used as the kernel of a robust networked control system. The design objective is indeed to reduce the number of transmissions over the network. The proposed ET-VSC also guarantees appropriate robustness properties, even in the presence of delayed transmissions. It is theoretically analysed, proving that the sliding variable associated with the controlled system results in being ultimately confined into a boundary layer of prescribed amplitude. As a consequence, it is proved that the state of the considered uncertain nonlinear system is ultimately bounded as well. Moreover, a lower bound for the time elapsed between consecutive triggering events is provided, which excludes the notorious Zeno behaviour. Finally, the designed ET-VSC control scheme is satisfactorily assessed in simulation. ARTICLE HISTORY

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

Cited by 17 publications

References 16 publications

Dynamic event‐triggering based design of sliding mode control

Dynamic event‐triggering based design of sliding mode control

Network‐based integral sliding mode control for descriptor systems with event‐triggered sampling scheme

Event-triggered variable structure control

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