Asynchronous Guaranteed Cost Control of 2-D Markov Jump Roesser Systems

Wu, Zheng‐Guang; Tao, Yue-Yue

doi:10.1109/tcyb.2021.3100074

Cited by 20 publications

(10 citation statements)

References 35 publications

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“…In addition, the initial states and initial modes cannot be completely known in some practical scenarios. Based on the mentioned discussions and follows from the study by Wu and Tao (2022), we will investigate the following three specific cases for asynchronous ET guaranteed cost.…”

Section: Problem Formulationmentioning

confidence: 99%

“…In addition, we use the approach of solving the GCC under the TTM proposed in the study by Wu and Tao (2022), and this condition can be considered as a special case of the method proposed in this paper when d i = 0, where the optimal guaranteed cost J Ã TTM = 0:3254 is obtained, which is the same Algorithm 1: Optimal asynchronous event-triggered GCC law design procedures.…”

Section: Declaration Of Conflicting Interestsmentioning

confidence: 99%

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Asynchronous event-triggered guaranteed cost control of two-dimensional Markov jump Roesser systems

Liu

Yang

Zhu

et al. 2023

Transactions of the Institute of Measurement and Control

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This paper deals with the problem of asynchronous event-triggered guaranteed cost control for two-dimensional Markov jump systems in Roesser model. The hidden Markov model is introduced to characterize the asynchronous phenomenon induced by imperfect mode detection, and a hidden Markov model-based event-triggered mechanism is employed in controller design to reduce the communication burden of the network. By using the quadratic Lyapunov function technique, some sufficient criteria are developed to ensure the asymptotic stability of the addressed system with a guaranteed cost value under three different boundary conditions. Finally, an optimization algorithm with linear matrix inequality constraints is formulated to design the optimal asynchronous event-triggered guaranteed cost control law, and a simulation example is considered to illustrate its validity.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Declaration Of Conflicting Interestsmentioning

confidence: 99%

Asynchronous event-triggered guaranteed cost control of two-dimensional Markov jump Roesser systems

Liu

Yang

Zhu

et al. 2023

Transactions of the Institute of Measurement and Control

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“…So far, there are indeed some preliminary developments on 2-D MJSs. 19,20 However, to the best of our knowledge, the controller synthesis and design for 2-D MJSs, in particular, restricting the trajectories of the states in two independent directions within tolerable boundedness over a finite region, is still research space to investigate. Moreover, in the actual process, the state of 2-D systems evolving along two independent directions may be subjected to more external disturbances than that of 1-D systems, which is greater meaningful and challenging for the ESO-based control research of 2-D systems.…”

Section: Design Of the Eso-based Controllermentioning

confidence: 99%

“…Remark So far, there are indeed some preliminary developments on 2‐D MJSs 19,20 . However, to the best of our knowledge, the controller synthesis and design for 2‐D MJSs, in particular, restricting the trajectories of the states in two independent directions within tolerable boundedness over a finite region, is still research space to investigate.…”

Section: System Description and Preliminariesmentioning

confidence: 99%

“…By designing a non‐synchronous filter to generate a residual signal, Shen et al 19 work out the issue of fault detection for 2‐D MJSs. Considering the modes may be mismatched, Wu et al 20 proposed an algorithm to design an optimal asynchronous guaranteed cost controller. However, 2‐D MJSs have not been investigated thoroughly yet, and there is still research space to explore.…”

Section: Introductionmentioning

confidence: 99%

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Extended state observer‐based finite‐region control for 2‐D Markov jump systems

Peng

Dong

et al. 2022

Intl J Robust & Nonlinear

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In this article, an extended state observer‐based finite‐region control scheme is presented for two‐dimensional Markov jump systems with unknown mismatched disturbances. The mathematical model of the two‐dimensional Markov jump systems is built on the well‐known Roesser model. By establishing special recursive formulas and utilizing the 2‐D Lyapunov function theory, sufficient conditions are obtained, which prove that the resultant system is finite‐region bounded, if some linear matrix inequalities are achieved. Then, we provide an algorithm to solve the extended state observer‐based controller gains. With the proposed control scheme, the external disturbances can be actively rejected from the system outputs. To conclude, a numerical example based on the Darboux equation is provided to demonstrate the validity and effectiveness of the devised control scheme.

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Robust control scheme for uncertain semi‐Markov jump systems subject to digital communication constraint and incomplete sojourn‐time information

Zhang,

Du,

Sun

et al. 2023

Asian Journal of Control

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This paper deals with the robust control problem for networked uncertain semi‐Markov jump systems over digital communication channel, where some complicated factors are considered in this framework, such as false data injection attacks, incomplete sojourn‐time information, and actuator fault. In network environment, these problems frequently occurred: (1) Data must be quantified before it is transmitted via digital communication channels, and (2) there is always the risk of cyber‐attack. Traditional controllers are not effective to solve the robust control design issue of uncertain semi‐Markov jump systems since the signal quantization and cyber‐attack will degrade control performance evidently. Then, a resilient controller is designed to guarantee the stable running of system with incomplete sojourn‐time information and the system resiliency to unsecure shared data. With the help of Lyapunov stability theory, sufficient conditions are derived in the form of linear matrix inequality, which can determine the gains of the resilient controller. Finally, the simulation examples about single‐machine infinite‐bus power system are given to explain the effectiveness and feasibility of the proposed control approach.

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Asynchronous Guaranteed Cost Control of 2-D Markov Jump Roesser Systems

Cited by 20 publications

References 35 publications

Asynchronous event-triggered guaranteed cost control of two-dimensional Markov jump Roesser systems

Asynchronous event-triggered guaranteed cost control of two-dimensional Markov jump Roesser systems

Extended state observer‐based finite‐region control for 2‐D Markov jump systems

Robust control scheme for uncertain semi‐Markov jump systems subject to digital communication constraint and incomplete sojourn‐time information

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