Stochastic stability of Markovian jump linear systems over networks with random quantization density and time delay

Wang, Jufeng; Zhou, Meng Chu; Liu, Chunfeng

doi:10.1016/j.physa.2018.06.074

Cited by 9 publications

(3 citation statements)

References 24 publications

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“…The occurrence of time delay may degrade the system performance or even make the systems unstable. To the best of our knowledge, most of the existed results were concerned with the H ∞ control and stability analysis for the MJLS with state delay 22‐25 . So far, the optimal control and stabilization for the MJLS with input delay is still a challenging problem.…”

Section: Introductionmentioning

confidence: 99%

Optimal output feedback control for discrete‐time Markov jump linear system with input delay and packet losses

Liu

Han

Wang

et al. 2020

Optim Control Appl Methods

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Summary This article investigates the optimal output feedback control problem for discrete‐time Markov jump linear system (MJLS) with input delay and packet losses in finite horizon. There are three main contributions. First, we assume that the state variable and the jump variable are available to the controller, and then we propose a new version of stochastic maximum principle. Based on the new proposed tool, an optimal state feedback controller is obtained by solving a set of delayed coupled difference Riccati equations. Second, under the condition that the state variable is unavailable to the controller, it is desired to design a dynamic Markovian jump controller such that the closed‐loop system minimizes the performance index. Thus, an optimal Markovian jump linear filter is proposed for MJLS with input delay and packet losses. Finally, based on the optimal filter, we prove that the separation principle holds for this case and then an optimal output feedback controller is presented. Some numerical examples are presented to illustrate the proposed approach.

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Section: Introductionmentioning

confidence: 99%

Optimal output feedback control for discrete‐time Markov jump linear system with input delay and packet losses

Liu

Han

Wang

et al. 2020

Optim Control Appl Methods

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“…Theorem 3. Based on the optimization problem (26), the sliding mode surface parameter C in the equivalent control law (6) of the systems (4a) and (4b) that integrated scheduling and control satisfies…”

Section: High-order Sliding Mode Collaborative Controller Designmentioning

confidence: 99%

“…e primary challenge should be overcome is network-induced problem, including network-induced delays and packet dropouts. In addition, much effort has been devoted over the past few years (e.g., [4][5][6][7][8][9][10][11][12][13]). e research enthusiasm of network-induced problems in NCSs reveals the contradiction between QoP (Quality of Performance) and QoS (Quality of Service), i.e., the continuous improvement of QoP demand and the practical constraints of QoS guarantee [14].…”

Section: Introductionmentioning

confidence: 99%

High‐Order Sliding Mode Control for Networked Control System with Dynamic Noncooperative Game Scheduling

et al. 2021

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Specific to the NCSs where sensor signals can be processed centrally, a collaborative design scheme of dynamic game scheduling and advanced control theory was proposed in the present study. Firstly, by using the Jordan standard state space equation of the research object, the three elements of state noncooperative game were built, and the existence and uniqueness of Nash equilibrium solution were verified. In addition, the iterative equation of the scheduling matrix was derived by complying with the designed utility function. Secondly, refer to the number of restricted states the order of sliding mode was determined. And based on it, the corresponding sliding surface was designed. Subsequently, the quadratic optimization theory was adopted to regulate the control value following the implementation of the scheduling strategy to ensure that the control quality was further enhanced in the limited network service. Lastly, a TrueTime simulation example is established to verify the effectiveness of the proposed scheme.

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Exponential stabilization of aero-engine T-S fuzzy system with decentralized dynamic event-triggered mechanism

Wang,

Peng,

Xie

et al. 2023

Nonlinear Dyn

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Stochastic stability of Markovian jump linear systems over networks with random quantization density and time delay

Cited by 9 publications

References 24 publications

Optimal output feedback control for discrete‐time Markov jump linear system with input delay and packet losses

Optimal output feedback control for discrete‐time Markov jump linear system with input delay and packet losses

High‐Order Sliding Mode Control for Networked Control System with Dynamic Noncooperative Game Scheduling

Exponential stabilization of aero-engine T-S fuzzy system with decentralized dynamic event-triggered mechanism

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