Minimum-energy synchronization for interconnected networks with non-periodical information silence

Li, Junlong; Xi, Jianxiang; Wang, Le; Qin, Donghao; Li, Bing

doi:10.1016/j.neucom.2022.01.083

Cited by 3 publications

(5 citation statements)

References 31 publications

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“…is the nonlinear interconnection vector function, where 𝜇 ij and 𝜏 ij represents the transmission delay and are known positive constants (i, j = 1, 2, … , N; i ≠ j). The initial condition of system (1)…”

Section: Problem Descriptionmentioning

confidence: 99%

“…This shows that the controller { u1 (t), u2 (t), … , uN (t)} can make the output vector of (1) asymptotically track the reference signal. Therefore, the controller designed for system (11) can be treated as the controller of system (1).…”

Section: Construction Of the Error Systemsmentioning

confidence: 99%

“…Finally, let us discuss the specific form of the control input of system (1). The third crucial theorem of this article is as follows:…”

Section: Theorem 2 Suppose That Assumptions 1 and 2 Hold Given Positi...mentioning

confidence: 99%

“…Theorem 3. Under Assumptions 1 and 2, if there exist matrices L i > 0, G i > 0, W i > 0, and Y i (i = 1, 2, … , N) such that (36) has feasible solutions or the optimization problem (42) has solutions, then the distributed preview controller that enables the output vector of system (1) to asymptotically track the reference signal is…”

Section: Theorem 2 Suppose That Assumptions 1 and 2 Hold Given Positi...mentioning

confidence: 99%

“…The interconnected system is a class of large‐scale complex system composed of many interrelated subsystems. Because the interrelated characteristics of such systems can properly describe the dynamic properties of many practical engineering control systems, such as, networked control systems, 1 multi‐motor power generation system, 2 urban transportation system, 3 and so on, the study of interconnected systems has received a great deal of attention. On the other hand, the time‐delay is widespread and is one of the main causes of the poor performance or even instability of the system caused by the measurement and transmission 4,5 .…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Design of distributed preview tracking controller for nonlinear interconnected systems with time‐delay

Xie,

Liao,

et al. 2023

Intl J Robust & Nonlinear

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The focus of this article is to design a distributed preview tracking controller for a class of nonlinear interconnected systems with time‐delay. By constructing the error systems with the information of previewable reference signal, and defining an performance index, the original preview tracking problem is converted into the control problem of the error system. Based on the relationship between the interconnection matrices and the input matrices, a distributed controller using not only the local state vector information but also the interconnection term information is designed for the error systems. Under this controller, the closed‐loop error system is decoupled. With the help of Lyapunov‐Krasovskii functional, the sufficient conditions, the asymptotic stability of the closed‐loop error system with disturbance attenuation level, are established. The distributed preview tracking controller, which is composed of state feedback, integrator, and preview feedforward, is acquired by integrating the controller of the error system. The proposed preview controller is applied to the chemical reactor recycles system and double‐parallel inverted pendulum system. The simulation verify that this controller is very effective in improving the tracking performance.

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Section: Problem Descriptionmentioning

confidence: 99%

Section: Construction Of the Error Systemsmentioning

confidence: 99%

“…Finally, let us discuss the specific form of the control input of system (1). The third crucial theorem of this article is as follows:…”

Section: Theorem 2 Suppose That Assumptions 1 and 2 Hold Given Positi...mentioning

confidence: 99%

Section: Theorem 2 Suppose That Assumptions 1 and 2 Hold Given Positi...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Design of distributed preview tracking controller for nonlinear interconnected systems with time‐delay

Xie,

Liao,

et al. 2023

Intl J Robust & Nonlinear

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Adaptive fuzzy inverse optimal output feedback decentralised prescribed performance control for interconnected nonlinear systems

Yang,

Wu,

Tong

2024

International Journal of Systems Science

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Parameter Identification and the Finite-Time Combination–Combination Synchronization of Fractional-Order Chaotic Systems with Different Structures under Multiple Stochastic Disturbances

Pan

Sajid

et al. 2022

Mathematics

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This paper researches the issue of the finite-time combination-combination (C-C) synchronization (FTCCS) of fractional order (FO) chaotic systems under multiple stochastic disturbances (SD) utilizing the nonsingular terminal sliding mode control (NTSMC) technique. The systems we considered have different characteristics of the structures and the parameters are unknown. The stochastic disturbances are considered parameter uncertainties, nonlinear uncertainties and external disturbances. The bounds of the uncertainties and disturbances are unknown. Firstly, we are going to put forward a new FO sliding surface in terms of fractional calculus. Secondly, some suitable adaptive control laws (ACL) are found to assess the unknown parameters and examine the upper bound of stochastic disturbances. Finally, combining the finite-time Lyapunov stability theory and the sliding mode control (SMC) technique, we propose a fractional-order adaptive combination controller that can achieve the finite-time synchronization of drive-response (D-R) systems. In this paper, some of the synchronization methods, such as chaos control, complete synchronization, projection synchronization, anti-synchronization, and so forth, have become special cases of combination-combination synchronization. Examples are presented to verify the usefulness and validity of the proposed scheme via MATLAB.

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Minimum-energy synchronization for interconnected networks with non-periodical information silence

Cited by 3 publications

References 31 publications

Design of distributed preview tracking controller for nonlinear interconnected systems with time‐delay

Design of distributed preview tracking controller for nonlinear interconnected systems with time‐delay

Adaptive fuzzy inverse optimal output feedback decentralised prescribed performance control for interconnected nonlinear systems

Parameter Identification and the Finite-Time Combination–Combination Synchronization of Fractional-Order Chaotic Systems with Different Structures under Multiple Stochastic Disturbances

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