Asynchronous sliding mode control of continuous-time singular markov jump systems with time-varying delay under event-triggered strategy

Liang, Tao; Shi, Shengli; Ma, Yuechao

doi:10.1016/j.amc.2023.127947

Cited by 6 publications

(3 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Step 2: The variance-based ET mechanism is used to determine whether the FC receives LF data. If Λ i (k) = 1, the FC obtains LE ςe i (k|k) using (34), and the EECM P e ς i (k|k) is calculated using (35), as specified in Theorem 2. If Λ i (k) = 0, ςe i (k|k) and P e ς i (k|k) are calculated using the one-step prediction, which is stored in the FC; when Λ i (k − 1) = 1, they are computed via (36) and (37); when Λ i (k − 1) = 0, they are computed via (38) and (39).…”

Section: Iteratementioning

confidence: 99%

“…In [ 34 ], the variation in rotational inertia is modeled using a semi-Markov chain, and the ET mechanism is used to reduce the network bandwidth. In [ 35 ], an asynchronous sliding mode controller, based on the ET mechanism, is designed for singular MJSs. In [ 36 ], a fault detection filter for positive MJSs based on a dynamic ET mechanism is studied.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Event-Triggered Distributed Fusion Estimator for Asynchronous Markov Jump Systems with Correlated Noises and Fading Measurements

Zhang,

Lin

2024

Sensors

View full text Add to dashboard Cite

In this study, we investigate event-triggered distributed fusion estimation for asynchronous Markov jump systems subject to correlated noises and fading measurements. The measurement noises are interrelated, and they are simultaneously coupled with the system noise. The sensor samples measurements uniformly, and the sampling rates of the sensors are different. First, the asynchronous system is synchronized at state update points; then, the local filter is obtained. Furthermore, a variance-based event-triggered strategy is introduced between the local estimator and the fusion center to decrease the energy consumption of network communication. Then, a distributed fusion estimation algorithm is proposed using a matrix-weighted fusion criterion. Finally, the effectiveness of the algorithm is verified using computer simulations.

show abstract

Section: Iteratementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Event-Triggered Distributed Fusion Estimator for Asynchronous Markov Jump Systems with Correlated Noises and Fading Measurements

Zhang,

Lin

2024

Sensors

View full text Add to dashboard Cite

show abstract

“…The problem of robust dynamic output feedback (OF) stabilization was studied for uncertain SMJSs with time-varying by Sun et al (2022). Liang et al (2023) obtained an asynchronous sliding mode control law using event-triggered strategy to ensure the reachability of SMJSs with time-varying delay. In summary, it is of significance to achieve controlled synthesis and analyze stability of SMJSs with time-varying delay.…”

Section: Introductionmentioning

confidence: 99%

Output reachable set synthesis for singular Markovian jump systems with time-varying delay: a PD bumpless transfer control scheme

Yin,

Zhang,

Zhao

2024

RIA

View full text Add to dashboard Cite

Purpose This paper aims to study the issues of output reachable set estimation for the linear singular Markovian jump systems (SMJSs) with time-varying delay based on a proportional plus derivative (PD) bumpless transfer (BT) output feedback (OF) control scheme. Design/methodology/approach To begin with, a sufficient criterion is given in the form of a linear matrix inequality based on the Lyapunov stability theory. Then, a PD-BT OF controller is designed to keep all the output signs of the system are maintain within a predetermined ellipsoid. Finally, numerical and practical examples are used to demonstrate the efficiency of the approach. Findings Based on PD control and BT control method, an OF control strategy for the linear SMJSs with time-varying delay is proposed. Originality/value The output reachable set synthesis of linear SMJSs with time-varying delay can be solved by using the proposed approach. Besides, to obtain more general results, the restrictive assumptions of some parameters are removed. Furthermore, a sufficiently small ellipsoid can be obtained by the design scheme adopted in this paper, which reduces the conservatism of the existing results.

show abstract

Reinforcement learning‐based composite suboptimal control for Markov jump singularly perturbed systems with unknown dynamics

Li,

Jia,

Wang

et al. 2024

Math Methods in App Sciences

View full text Add to dashboard Cite

In this article, a model‐free parallel reinforcement learning method is proposed to solve the suboptimal control problem for the Markov jump singularly perturbed systems. First, since fast and slow dynamics coexist in Markov jump singularly perturbed systems, it may lead to ill‐conditioned numerical problems during the controller design process. Therefore, the original system can be decomposed into independent subsystems at different time‐scales by employing the reduced order method. In addition, two model‐free parallel reinforcement learning algorithms are designed to obtain the optimal controllers for the fast and slow subsystems, respectively. Moreover, within the framework of reinforcement learning, the controllers of the Markov jump singularly perturbed systems can be acquired without the systems dynamics. Finally, a numerical example is introduced to prove the effectiveness of proposed algorithms.

show abstract

Asynchronous sliding mode control of continuous-time singular markov jump systems with time-varying delay under event-triggered strategy

Cited by 6 publications

References 44 publications

Event-Triggered Distributed Fusion Estimator for Asynchronous Markov Jump Systems with Correlated Noises and Fading Measurements

Event-Triggered Distributed Fusion Estimator for Asynchronous Markov Jump Systems with Correlated Noises and Fading Measurements

Output reachable set synthesis for singular Markovian jump systems with time-varying delay: a PD bumpless transfer control scheme

Reinforcement learning‐based composite suboptimal control for Markov jump singularly perturbed systems with unknown dynamics

Contact Info

Product

Resources

About