scholarly journals Chattering-Free Time Scale Separation Sliding Mode Control Design with Application to Power System Chaos Suppression

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Junkang Ni ◽  
Ling Liu ◽  
Chongxin Liu ◽  
Xiaoyu Hu

This paper presents a novel chattering-free sliding mode control method for a class of disturbed nonlinear systems, which achieves fast and exact disturbance estimation, eliminates chattering, and recovers the performance of nominal system and nominal control input. The proposed approach combines time scale separation design and sliding mode control. Different from the existing disturbance estimation based sliding mode control methods, the proposed scheme achieves fast and exact disturbance estimation through time scale separation and eliminates discontinuous switching term, thereby achieving good chattering alleviation effect and providing good transient response. The proposed control method is applied to suppress chaos in power system and simulation results confirm the effectiveness and robustness of proposed control scheme and highlight the advantages of the proposed control scheme over the existing disturbance estimation based sliding mode control methods in terms of chattering alleviation effect and transient response.

Author(s):  
Sara Gholipour ◽  
Heydar Toosian Shandiz ◽  
Mobin Alizadeh ◽  
Sara Minagar ◽  
Javad Kazemitabar

Background & Objective: This paper considers the chattering problem of sliding mode control in the presence of delay in robot manipulator causing chaos in such electromechanical systems. Fractional calculus was used in order to produce a novel sliding mode to eliminate chatter. To realize the control of a class of chaotic systems in master-slave configuration, a novel fractional dynamic sliding mode control scheme is presented and examined on the delay based chaotic robot. Also, the stability of the closed-loop system is guaranteed by Lyapunov stability theory. Methods: A control scheme is proposed for reducing the chattering problem in finite time tracking and robust in presence of system matched disturbances. Results: Moreover, delayed robot motions are sorted out for qualitative and quantitative study. Finally, numerical simulations illustrate feasibility of the proposed control method. Conclusion: The control scheme is viable.


Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Wende Zhao ◽  
Decheng Wang ◽  
Zhenzhong Chu ◽  
Mingjun Zhang

This paper investigates the control problem of the buoyancy regulation system for autonomous underwater vehicle (AUV). There are some problems to be considered in the oil-water conversion-based buoyancy regulation system, including the external seawater pressure, the pressure fluctuations, and the slow switching speed of the ball valve. The control accuracy of the buoyancy regulation under the traditional PID controller cannot meet the requirements of the project. In this paper, a fuzzy sliding mode control scheme is developed for the buoyancy regulation system to solve the abovementioned problems. At first, a mathematical model of the buoyancy regulation system is established, and the stability of the system is analyzed. Then, the sliding mode control algorithm is combined with the fuzzy system to improve the control accuracy. Finally, the pool-experiment results on a prototype show that the developed control scheme can meet the requirements of the control accuracy for the buoyancy regulation system.


Author(s):  
Liqiang Wang ◽  
Xianqing Wu ◽  
Meizhen Lei

The stabilization and disturbance rejection of the translational oscillator with a rotating actuator (TORA) are considered in this paper. To deal with the control issues, a novel continuous sliding mode control method is designed for the TORA system. Compared with existing sliding mode control methods for the TORA system, the proposed method here is continuous. Specifically, first, a global diffeomorphism is introduced for the model of the TORA system. Then, an elaborate sliding manifold is constructed, and a continuous sliding mode control scheme is developed to ensure the convergence of the sliding manifold. Furthermore, rigorous theoretical analysis is given. Finally, simulation tests are carried out, and the obtained simulation results demonstrate that the proposed method exhibits superior stabilization control performance and strong robustness.


Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 115
Author(s):  
Khalid A. Alattas ◽  
Javad Mostafaee ◽  
Aceng Sambas ◽  
Abdullah K. Alanazi ◽  
Saleh Mobayen ◽  
...  

In this study, the synchronization problem of chaotic systems using integral-type sliding mode control for a category of hyper-chaotic systems is considered. The proposed control method can be used for an extensive range of identical/non-identical master-slave structures. Then, an integral-type dynamic sliding mode control scheme is planned to synchronize the hyper-chaotic systems. Using the Lyapunov stability theorem, the recommended control procedure guarantees that the master-slave hyper-chaotic systems are synchronized in the existence of uncertainty as quickly as possible. Next, in order to prove the new proposed controller, the master-slave synchronization goal is addressed by using a new six-dimensional hyper-chaotic system. It is exposed that the synchronization errors are completely compensated for by the new control scheme which has a better response compared to a similar controller. The analog electronic circuit of the new hyper-chaotic system using MultiSIM is provided. Finally, all simulation results are provided using MATLAB/Simulink software to confirm the success of the planned control method.


2013 ◽  
Vol 655-657 ◽  
pp. 1048-1052
Author(s):  
Sheng Bin Hu ◽  
Wen Hua Lu ◽  
Xing Yuan Zhang ◽  
Hai Rong Xu ◽  
Da Min Cao

To achieve high performance tracing control of the three-links spatial robot, a nonsingular terminal fuzzy sliding mode control method is proposed in this paper. Firstly, the control method can efficiently avoid the singularity of the generally terminal sliding mode controller through designing nonsingular terminal sliding mode surface. Secondly, to diminish the chattering in the control input, a fuzzy controller is designed to adjust the gain of nonsingular terminal sliding mode controller according to the normal of nonsingular terminal sliding mode surface. The stability of the control scheme is verified by using Lyapunov theory. The proposed controller is then applied to the control of a three-links spatial robot. Simulation results show the validity of the proposed control scheme.


2011 ◽  
Vol 18 (10) ◽  
pp. 1494-1505 ◽  
Author(s):  
Djamel Eddine Chaouch ◽  
Zoubir Ahmed-Foitih ◽  
Med Fayçal Khelfi

A self-tuning fuzzy inference sliding mode control method is presented for single inverted pendulum position tracking control. Sliding mode control is a special nonlinear control method which has a quick response, is insensitive to parameters’ variation and disturbance; and is very suitable for nonlinear system control. Neuro-fuzzy logic systems are used to directly generate the "equivalent control term". In this case, a neuro-fuzzy system was described as a self-tuning fuzzy inference system optimized online using Takagi-Sygeno type of rules and a back-propagation algorithm to minimize a cost function. The cost function is made up of a quadratic error term and a weight decay term that prevents an excessive growth of parameters. The definition of sliding mode control was presented, and on the basis of the inverted pendulum system the sliding mode controller was designed. Stability of the proposed control scheme is proved by the Lyapunov theorem and the control scheme is applied to an inverted pendulum system. Simulation studies show that the method is effective and can be applied to a nonlinear control system.


2014 ◽  
Vol 39 (9) ◽  
pp. 1552-1557 ◽  
Author(s):  
Xi LIU ◽  
Xiu-Xia SUN ◽  
Wen-Han DONG ◽  
Peng-Song YANG

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