Adaptive observation control for synchronization of coronary artery time-delay systems

Guo, Jie; Zhao, Zhanshan; Zhang, Jing; Ding, Gang

doi:10.1142/s0217984919504542

Cited by 5 publications

(5 citation statements)

References 23 publications

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“…The simulations show that our synchronization strategy effectively synchronizes the convulsive coronary system with the healthy cardiovascular system under input delay and disturbance. In future work, the results and methods in this work are expected to use to other various systems in real-word application, for instant, H 1 control [6][7][8][9], mixed H 1 and passive performance index [10], adaptive control [11,12], fuzzy control [13], observer-based control [14,15] and state-feedback control [16], projective synchronization of chaotic systems [43] and stochastic differential equations [44]. Furthermore, input delay and state delay will be considered in different values to get more closer to reality.…”

Section: Discussionmentioning

confidence: 99%

“…Therefore, the integrity of the system is critical. Several effective methods are used to achieve the synchronization between the healthy CACS and diseased CACS such as H 1 control [6][7][8][9], mixed H 1 and passive performance index [10], adaptive control [11,12], fuzzy control [13], observerbased control [14,15] and state-feedback control [16]. Particularly, Zhang et al [6] studied problems of the synchronization CACS with input disturbances and input time-delay depending on H 1 control.…”

Section: Introductionmentioning

confidence: 99%

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Finite-time H∞ synchronization control for coronary artery chaos system with input and state time-varying delays

Chantawat

Botmart

2022

PLoS ONE

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This is the first time for studying the issue of finite-time H∞ synchronization control for the coronary artery chaos system (CACS) with input and state time-varying delays. Feedback control is planned for finite-time of synchronization CACS. By constructing the Lyapunov-Krasovskii functional (LKF) is derived for finite-time stability criteria of CACS with interval and continuous differential time-varying delays. We use Wirtinger-based integral inequality to evaluate the upper bound of the time derivative of the LKF. We apply the single integral form and the double integral form of the integral inequality, according to Wirtinger-based integral inequality, to ensure that the feedback controller for synchronization has good performance with disturbance and time-varying delay. The new sufficient finite-time stability conditions have appeared in the form of linear matrix inequalities (LMIs). Numerical checks can be performed using the LMI toolbox in MATLAB. A numerical example is presented to demonstrate the success of the proposed methods. This resultant is less conservative than the resultants available in the previous works.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite-time H∞ synchronization control for coronary artery chaos system with input and state time-varying delays

Chantawat

Botmart

2022

PLoS ONE

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“…The above literature did not consider the influence of external disturbances. In this regard, there are works that consider the effect of drug-deficient substances as a disturbance in their study, such as Guo et al (2019b) and Guo et al (2019a). In the work by Guo et al, (2019a), H ∞ control was studied to ensure robust performance of CAS with unknown parameters and subject to perturbations.…”

Section: Related Work and Motivationsmentioning

confidence: 99%

Generalized dissipativity dynamic output feedback control for coronary artery system

khaloufi

Chaibi

Sadek

et al. 2023

Transactions of the Institute of Measurement and Control

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This work addresses the problem of synchronizing pathological changes in a patient with coronary artery obstruction to the corresponding nominal coronary artery system (CAS) model. The CAS model is characterized by nonlinear terms, so the synchronization problem is transformed into an equivalent time-varying delay T-S fuzzy framework using the sector of nonlinearity approach. New bilinear matrix inequalities (BMIs) conditions for robust stability analysis and dynamic output feedback gain synthesis are derived based on a less conservative condition for stability assessment of T-S fuzzy systems. A simple change of coordinate is used to solve the cross terms of the bilinearities, allowing the problem to be formulated in terms of linear matrix inequalities (LMIs) and solved using standard semi-definite programming. The effectiveness of the controller design approach is demonstrated through extensive simulations under diverse performance criterion that the controller can achieve.

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“…Besides, the chaotic synchronization of CASs with the time-delay phenomenon has been a fruitful reaching topic and many past reports were made. It is including a finite-time control method with input delay in [2], an approach of H∞ synchronization in [18], an adaptive fuzzy control scheme in [19], the observer-based control schemes in [20,21], and the synchronized control scheme with input saturation in [22].…”

Section: Introductionmentioning

confidence: 99%

Almost Finite-time Synchronization of Coronary Artery Systems via Adaptive Fractional-powered-integral-type Sliding Mode Control Method

Hong,

Lai,

Yang

et al. 2024

Sensors and Materials

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From the cardiac medical viewpoint, the treatment for a vasospasm caused by the diseased coronary artery system (CAS) is to synchronize the dynamic behavior of a diseased CAS with that of a healthy CAS such that the physiological change of the CAS is improved. In this study, for the bio-mathematical model of CAS, the novel fractional-powered-integral-type finite-timeconvergent sliding mode (FFSM), which is consisted of the fractional powered and the integral terms of the state variables, is introduced. The adaptive sliding mode control method based on the defined FFSM is proposed for achieving the almost finite-time synchronization between two CASs. Once the developed control is in action, the special type of stability is exhibited. That is, the two error states are stabilized in the sequel on the sliding surface, which induces the almost finite-time stability owing to the property of the model for CAS. The adaptive FFSM control scheme, which includes three online updated gains with the rules of adaption, can counter the nonlinear dynamical effects of the synchronized error system. Numerical experiments are executed to show the validation of the present scheme.

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Adaptive observation control for synchronization of coronary artery time-delay systems

Cited by 5 publications

References 23 publications

Finite-time H∞ synchronization control for coronary artery chaos system with input and state time-varying delays

Finite-time H∞ synchronization control for coronary artery chaos system with input and state time-varying delays

Generalized dissipativity dynamic output feedback control for coronary artery system

Almost Finite-time Synchronization of Coronary Artery Systems via Adaptive Fractional-powered-integral-type Sliding Mode Control Method

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