Chaotic synchronization based on improved global nonlinear integral sliding mode control☆

Xu, Guowei; Zhao, Shaoda; Cheng, Yi

doi:10.1016/j.compeleceng.2021.107497

Cited by 25 publications

(9 citation statements)

References 16 publications

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“…For the proposed simplified system model ( 6) and control law (8), it is necessary to prove the stability of the control algorithm to ensure the stability of the system.…”

Section: R + Cmentioning

confidence: 99%

“…In addition, References [ 5 , 6 ] enhance the stability of the control system by designing a high-order sliding mode controller. In order to improve the robustness of the system, researchers choose SMC with integral sliding mode function methods [ 7 , 8 , 9 , 10 ] and disturbance estimation methods [ 11 , 12 , 13 ]. Reference [ 14 ] shows that SMC is a reliable and robust control method under the condition of disturbance matching.…”

Section: Introductionmentioning

confidence: 99%

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Integrated Controller Design and Application for CNC Machine Tool Servo Systems Based on Model Reference Adaptive Control and Adaptive Sliding Mode Control

Zhang,

Li,

Gai

et al. 2023

Sensors

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In order to reduce the effect of nonlinear friction and time-varying factors on the servo system of a computer numerical control (CNC) machine tool and improve its motion control accuracy, this paper uses an adaptive sliding mode control (ASMC) method based on model reference adaptive control (MRAC). The method adopts ASMC in the control outer loop and obtains the optimal control parameters by making the sliding mode control (SMC) law continuous and adaptively estimating the control parameters. At the same time, MRAC is used in the control inner loop to enhance the “invariance” of the controlled object so that the switching gain of SMC can satisfy the disturbance matching condition even under lesser conditions. Simulation and experimental results show that compared with the traditional SMC, the ASMC based on MRAC proposed in this paper effectively reduces the influence of nonlinear friction on the system performance, and the reduction in following error reaches 71.2%, which significantly improves the motion control accuracy of the control system. The spectral analysis of the following errors shows that the maximum magnitude reduction rate of the high-frequency chattering is 89.02%, which significantly reduces the effect of the high-frequency chattering and effectively improves the stability performance of the control system.

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“…For the proposed simplified system model ( 6) and control law (8), it is necessary to prove the stability of the control algorithm to ensure the stability of the system.…”

Section: R + Cmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Integrated Controller Design and Application for CNC Machine Tool Servo Systems Based on Model Reference Adaptive Control and Adaptive Sliding Mode Control

Zhang,

Li,

Gai

et al. 2023

Sensors

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show abstract

“…For the most part, the dynamic response process of CSMC is related to the reaching and sliding modes. Because the robustness of SMC to the uncertainty of system parameters and external disturbances only holds in sliding mode, the dynamic characteristics of the system are not robust for the entire CSMC response process [10]. To make the system globally robust, conventional global sliding-mode control (CGSMC) has been developed by canceling the reaching mode [11].…”

Section: Introductionmentioning

confidence: 99%

“…However, the value of the decay function should be reduced completely to zero, only when the time approaches infinity in the theoretical analysis; that is when the sliding-surface evolution can be completely accomplished. Therefore, stabilization, with a given initial state on the dynamic sliding surface of a CGSMC, takes a long time [10].…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Rapid Global Sliding-Mode Control for Quadrotor Trajectory Tracking

Ahn

You

2023

IEEE Access

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To enhance the position and attitude-control of quadrotor for trajectory tracking, we propose a fast decay function utilizing exponential property to improve the performance of global sliding-mode control, allowing the initial value to quickly reach equilibrium. The main research is focused on deriving the finite settling time using the proposed decay function and presenting a detailed calculation process, instead of making a simple modification to a monotonic exponential-decay function. Moreover, we adopt an adaptive control law to ensure the robustness of the quadrotor, even without knowing the upper bound for disturbances. In addition, we perform time-varying mass simulations because the quadrotor's load mass may change during maneuvering. Furthermore, using the Lyapunov function, the stability of the entire closedloop system is ensured by the step-by-step stabilization of each subsystem. The simulation results show that the rapid global sliding-mode control (RGSMC) we designed is more effective than the conventional global sliding-mode control and adaptive sliding mode control with respect to stabilization and tracking against external disturbances. Hence, the fast decay property of the proposed global function is verified.

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“…The synchronization of chaos drives various chaotic systems towards each other. Previous researchers adopted to stabilize and synchronize chaotic system motions by using adequate control approaches such as active control (Durdu and Uyaroğlu, 2022; Kumar and Singh, 2022), passive control (Emiroglu and Uyaroglu, 2021; Su et al, 2022), sliding mode control (Huang et al, 2022; Kuz’menko, 2022; Xu et al, 2021; Zhang, 2021), linear feedback control (Aqeel et al, 2022; Qi et al, 2022), nonlinear feedback control (Aziz and Al-Azzawr, 2021; Lai et al, 2020), and time delay feedback control (Hong et al, 2022; Kobayashi, 2018).…”

Section: Introductionmentioning

confidence: 99%

Control & synchronization of a unified chaotic system using an adaptive controller with an extended Kalman–Bucy-filter based Auto-Tuner

Kızmaz

2023

Transactions of the Institute of Measurement and Control

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A current challenge with adaptive controllers is to define efficient tuning methods of the controller parameters. Unlike linear systems, nonlinear systems may need parameters that are continuously tuned at different operating points to provide stability and desired behaviours. This study aims to develop a solution for tuning proportional–integral–derivative (PID) controller parameters as opposed to changing the operating points of a nonlinear system. Most tuning methods calculate parameters according to the system’s step or frequency response. However, adaptive controllers have self-tuneable parameters or control rules. The proposed algorithm in this paper contains a controller, an estimator, and a reference model, and uses the system model. Unlike the model reference adaptive control method, the proposed controller has tuneable controller parameters estimated by the extended Kalman–Bucy filter. The filter estimates the controller parameters to make the system perform like the auxiliary ideal reference model to ensure minimum-time consumption. Hence, this study aims to develop an algorithm that will automatically calculate controller parameters for each operating point of the controlled chaotic or nonlinear system to minimize settling time at each operating point. The proposed algorithm is implemented in a unified chaotic system in which the estimator and controller of the system run together. Simulation results confirm the performance of the proposed algorithm. In addition, the simulation results provide strong evidence that the proposed algorithm can be an effective tool for controlling nonlinear or chaotic systems.

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Chaotic synchronization based on improved global nonlinear integral sliding mode control☆

Cited by 25 publications

References 16 publications

Integrated Controller Design and Application for CNC Machine Tool Servo Systems Based on Model Reference Adaptive Control and Adaptive Sliding Mode Control

Integrated Controller Design and Application for CNC Machine Tool Servo Systems Based on Model Reference Adaptive Control and Adaptive Sliding Mode Control

Finite-Time Rapid Global Sliding-Mode Control for Quadrotor Trajectory Tracking

Control & synchronization of a unified chaotic system using an adaptive controller with an extended Kalman–Bucy-filter based Auto-Tuner

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