Event-triggered control for networked nonlinear semi-Markovian jump systems with randomly occurring uncertainties and transmission delay

Wu, Xihui; Mu, Xiaomin

doi:10.1016/j.ins.2019.03.014

Cited by 52 publications

(15 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…

Y_{1} = [\begin{matrix} 0.1 & 0.2 \end{matrix}], Y_{2} = [\begin{matrix} 0.1 & 0.3 \end{matrix}],

Z_{1} = [\begin{matrix} 0.2 & 0.1 \end{matrix}], Z_{2} = [\begin{matrix} 0.1 & 0.1 \end{matrix}],

K_{1} = [\begin{matrix} 0.0085 & 0.0334 \end{matrix}], K_{2} = [\begin{matrix} 0.0094 & 0.0301 \end{matrix}],

ϕ_{1} = [\begin{matrix} 0.0842 & prefix- 0.0010 \\ prefix- 0.0010 & 0.0795 \end{matrix}], ϕ_{2} = [\begin{matrix} 0.0318 & 0.0123 \\ 0.0123 & 0.0245 \end{matrix}] .

Case II: Using the standard ETSs: 14 …”

Section: Numerical Examplesmentioning

confidence: 99%

“…In the previous work, 13 the ETS based on sampling takes the form of

{(x (t_{k} h) - x (t_{k} h + l h))}^{T} ϕ (x (t_{k} h) - x (t_{k} h + l h)) \leq ψ x^{T} x (t_{k} h + l h) ϕ x (t_{k} h + l h)

. Inspired by this form, a kind of dynamic ETSs was introduced 14 :

{(x (t_{k} h) - x (t_{k} h + l h))}^{T} ϕ (r (t_{k} h + l h)) (x (t_{k} h) - x (t_{k} h + l h)) \leq ψ (r (x (t_{k} h) + l h)) x^{T} (t_{k} h + l h) ϕ (r (t_{k} h + l h)) x (t_{k} h + l h)

. In recent years, in order to further save bandwidth and transmission cost, a new improved ETS 15 in the form of

(x (t_{k} h) - x

…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonfragile stabilization for semi‐Markovian switching systems with actuator saturation via improved dynamic event‐triggered scheme

Luo

et al. 2020

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

This article addresses the problem of stabilization and the H∞ performance for semi‐Markovian systems with actuator saturation via dynamic event‐triggered scheme. Due to actuator degradation and numerical round‐off errors, nonfragile control is proposed. Meanwhile, the saturated nonlinearity is considered in the controller design process, which makes the controller design more practical. Furthermore, the improved event‐triggered scheme is utilized for reducing transmitting unnecessary sampled data to the network and saving communication cost. By establishing appropriate Lyapunov–Krasovskii functional that depends on model information and using free‐weighting matrix techniques, new sufficient conditions for ensuring the stabilization of the controlled systems are obtained. Then the gain matrices of the controller can be also designed. Finally, simulation examples are provided to verify that the results we get are effective.

show abstract

“…

Y_{1} = [\begin{matrix} 0.1 & 0.2 \end{matrix}], Y_{2} = [\begin{matrix} 0.1 & 0.3 \end{matrix}],

Z_{1} = [\begin{matrix} 0.2 & 0.1 \end{matrix}], Z_{2} = [\begin{matrix} 0.1 & 0.1 \end{matrix}],

K_{1} = [\begin{matrix} 0.0085 & 0.0334 \end{matrix}], K_{2} = [\begin{matrix} 0.0094 & 0.0301 \end{matrix}],

ϕ_{1} = [\begin{matrix} 0.0842 & prefix- 0.0010 \\ prefix- 0.0010 & 0.0795 \end{matrix}], ϕ_{2} = [\begin{matrix} 0.0318 & 0.0123 \\ 0.0123 & 0.0245 \end{matrix}] .

Case II: Using the standard ETSs: 14 …”

Section: Numerical Examplesmentioning

confidence: 99%

“…In the previous work, 13 the ETS based on sampling takes the form of

{(x (t_{k} h) - x (t_{k} h + l h))}^{T} ϕ (x (t_{k} h) - x (t_{k} h + l h)) \leq ψ x^{T} x (t_{k} h + l h) ϕ x (t_{k} h + l h)

. Inspired by this form, a kind of dynamic ETSs was introduced 14 :

{(x (t_{k} h) - x (t_{k} h + l h))}^{T} ϕ (r (t_{k} h + l h)) (x (t_{k} h) - x (t_{k} h + l h)) \leq ψ (r (x (t_{k} h) + l h)) x^{T} (t_{k} h + l h) ϕ (r (t_{k} h + l h)) x (t_{k} h + l h)

. In recent years, in order to further save bandwidth and transmission cost, a new improved ETS 15 in the form of

(x (t_{k} h) - x

…”

Section: Introductionmentioning

confidence: 99%

Nonfragile stabilization for semi‐Markovian switching systems with actuator saturation via improved dynamic event‐triggered scheme

Luo

et al. 2020

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

show abstract

“…In semi‐Markov jump systems, the time interval among two jumps follow any statistical distribution, such as Phase‐type or Weibull distributions. For semi‐Markovian jumping networked nonlinear systems, the authors in Reference 17 studied stabilization problem under event‐triggered control strategy. For a class of continuous‐time systems with semi‐Markov jump parameters, the authors in Reference 18 discussed asynchronous control problem subject to disturbances.…”

Section: Introductionmentioning

confidence: 99%

Nonfragile control design for consensus of semi‐Markov jumping multiagent systems with disturbances

SakthivelRathinasamy

ParivallalArumugam

TuanNguyen

et al. 2021

Adaptive Control & Signal

View full text Add to dashboard Cite

Summary The consensus problem for multiagent systems (MASs) with semi‐Markov jumping parameters under the influence of disturbances is investigated in this article. In the first part of this article, an extended dissipative approach is used for the consensus of MASs with semi‐Markovian jumping parameters and external disturbances via nonfragile controller with randomly occurring gain fluctuations. Besides, in the second part of the article, the consensus of stochastic semi‐Markovian jumping MASs via nonfragile controller subject to probabilistic time‐varying delay is discussed. The primary motive of this article is to develop a robust controller such that the considered MASs with semi‐Markov jumping parameters achieve consensus in the presence of external disturbances. For this, the chosen problems are first converted to stabilization problems then by using Lyapunov stability theory and linear matrix inequality approach, the stabilization criterion have been established. At last, two numerical examples are worked out to illustrate the efficiency of the proposed control methodologies.

show abstract

“…21–23 Moreover, for the MJS or SMJS, it is reasonable and urgent to design the mode-dependent event-triggered strategy for more applicable results. Recently, remarkable results can be found, 24,25 where effective event-triggered control strategies have been developed. In addition, since the vertical take-off and landing (VTOL) helicopters are capable of taking-off, landing within limited field, and stable hovering over target region, many related researches have been investigated.…”

Section: Introductionmentioning

confidence: 99%

Mode-dependent event-triggered tracking control for uncertain semi-Markov systems with application to vertical take-off and landing helicopter

et al. 2020

Measurement and Control

View full text Add to dashboard Cite

The aim of this manuscript is to tackle the tracking problem for uncertain semi-Markov systems. More precisely, the mode-dependent event-triggering communication approach is introduced for networked controller design procedure, which can considerably increase the signal transmission efficiency. Based on the Lyapunov–Krasovski method, mode-dependent sufficient conditions are derived and the tracking errors could achieve the asymptotic mean-square stability, and mode-dependent controllers could be further calculated by convex optimization. A numerical simulation with application to vertical take-off and landing helicopter would be performed for verifying the availability and usefulness.

show abstract

Event-triggered control for networked nonlinear semi-Markovian jump systems with randomly occurring uncertainties and transmission delay

Cited by 52 publications

References 34 publications

Nonfragile stabilization for semi‐Markovian switching systems with actuator saturation via improved dynamic event‐triggered scheme

Nonfragile stabilization for semi‐Markovian switching systems with actuator saturation via improved dynamic event‐triggered scheme

Nonfragile control design for consensus of semi‐Markov jumping multiagent systems with disturbances

Mode-dependent event-triggered tracking control for uncertain semi-Markov systems with application to vertical take-off and landing helicopter

Contact Info

Product

Resources

About