Sliding Mode Control Scheme for Uncertain Linear Systems

2012 ◽  
Vol 562-564 ◽  
pp. 2065-2068
Author(s):  
Gang Ding ◽  
Jin Liu ◽  
Jing Zhang
Keyword(s):  
Sliding Mode Control ◽  
High Frequency ◽  
Control Algorithm ◽  
Lyapunov Method ◽  
Sliding Mode ◽  
Sigmoid Function ◽  
Reaching Law ◽  
Mode Control ◽  
Control Scheme ◽  
Uncertain Linear Systems

A sliding mode control algorithm is proposed for a class of linear unmatched uncertain systems.The unmatched disturbance is will not be amplified by the discontinuous control. In order to reduce chattering, a bipolar sigmoid function without high frequency switching is induced. The control scheme developed is based on integral sliding mode and rate reaching law and stability is ensured using the Lyapunov method. An illustrative example shows the applicability of the method.

Terminal sliding mode control of permanent magnet synchronous motor based on the reaching law

2019 ◽  
Vol 234 (7) ◽  
pp. 849-859
Author(s):  
Peikun Zhu ◽  
Yong Chen ◽  
Meng Li
Keyword(s):  
Sliding Mode Control ◽  
Permanent Magnet ◽  
Parameter Uncertainty ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Terminal Sliding Mode ◽  
Reaching Law ◽  
Mode Control

Aiming at the parameter uncertainty and load torque disturbance of permanent magnet synchronous motor system, a terminal sliding mode control algorithm for permanent magnet synchronous motor based on the reaching law is proposed. First, a sliding mode control algorithm for sliding mode reaching law is proposed, which can dynamically adapt to the changes in system state. Second, a sliding mode disturbance observer is designed to estimate the lumped disturbance in real time and to compensate the controller for disturbance. On this basis, an online identification method based on disturbance observer for viscous friction coefficient and moment of inertia is used to reduce the influence of parameter uncertainty on the control system. Simulation and experimental results show the effectiveness of the method.

scholarly journals Vibration Reduction of the Nonlinearly Tufted Carpet Yarn by a Modified Sliding Mode Control Method

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Shuang Huang ◽  
Xin Wu ◽  
Peixing Li
Keyword(s):  
Sliding Mode Control ◽  
High Frequency ◽  
Control Algorithm ◽  
Control Method ◽  
Sliding Mode ◽  
Control Law ◽  
Control Force ◽  
Fuzzy Sliding Mode Control ◽  
Mode Control ◽  
Fuzzy Sliding Mode

The yarn vibration causes the yarn tension value to fluctuate, causing a change in the amount of yarn feed, thus causing a deviation of the carpet pile height from the predetermined value. To solve this problem, the sliding mode control algorithm is used to design the sliding mode function and the sliding mode control law. And four variables in the yarn vibration system are controlled by the MATLAB software. For solving the chattering problem of the control law, the sliding mode control law is improved. The fuzzy sliding mode control algorithm based on the quasisliding mode is adopted. The results show that the sliding mode control algorithm is effective, but the sliding mode control force needs to be switched at high frequency and there is severe chattering. The fuzzy sliding mode control algorithm based on quasisliding mode is adopted to achieve better control effect with a smaller force. In addition, the control force does not have high-frequency switching, and the change is relatively stable, which reduces the chattering phenomenon of sliding mode control.

Higher Order Sliding Mode Control for a Class of MIMO Systems

2013 ◽  
Vol 834-836 ◽  
pp. 1105-1109
Author(s):  
Jing Dong Li ◽  
Jing Zhang
Keyword(s):  
Sliding Mode Control ◽  
Control Algorithm ◽  
Mimo Systems ◽  
Sliding Mode ◽  
Space Vehicle ◽  
Higher Order ◽  
Mode Control ◽  
Near Space ◽  
Vehicle System ◽  
Control Scheme

A higher order sliding mode control algorithm is proposed to design and analyze for a class of MIMO nonlinear systems with unknown nonlinearities. The proposed control scheme based on geometric homogeneity and sliding mode control provides a general approach to design controller for near space vehicle system. Simulation example results demonstrate the advantages of the strategy.

scholarly journals A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Qian Xu ◽  
H. P. Du ◽  
B. He ◽  
T. H. Yan ◽  
W. H. Li ◽  
...  
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Reaching Law ◽  
Mode Control ◽  
Discrete Time Systems ◽  
Exponential Reaching Law ◽  
Time Systems

This paper proposed a new sliding mode control algorithm for discrete-time systems with matched uncertainty. The new control algorithm is characterized by a new discrete switching surface. Although the exponential reaching law can reduce oscillation, the control effectiveness will be suppressed when the rate of change of disturbance is high. The exponential reaching law cannot force the system states to approach sliding surface sk=0. In order to solve the contradiction between guaranteeing the basic property of quasi-sliding mode and reducing oscillation, a new discrete reaching law is proposed to improve the reaching process of discrete exponent reaching laws. The proposed method not only can force system state to approach the sliding surface sk=0 in less width of the switching manifold than existing studies, but also can alleviate chattering when the system representative points are near zero point. Simulation results are provided to validate the feasibility and reasonability of the method.

Backstepping Fuzzy Sliding Mode Control for a Three-Links Spatial Robot Based on Variable Rate Reaching Law

2011 ◽  
Vol 105-107 ◽  
pp. 2213-2216 ◽  
Author(s):  
Sheng Bin Hu ◽  
Min Xun Lu
Keyword(s):  
Sliding Mode Control ◽  
Fuzzy Controller ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Variable Rate ◽  
Reaching Law ◽  
Mode Control ◽  
Adjustment Time ◽  
Control Scheme ◽  
Fuzzy Sliding Mode

To achieve the tracing control of a three-links spatial robot, a backstepping fuzzy sliding mode controller based on variable rate reaching law is proposed in this paper. The sliding mode controller is designed by means of backstepping way. To reduce the adjustment time, a fuzzy controller is designed to adjust the slope of sliding mode surface. To diminish the chattering of traditional sliding mode control, the variable rate reaching law is proposed. The variable rate reaching law is composed of the distance from current point to sliding mode surface in phase plane. The simulation studies for the tracking control of a three-links spatial robot have been carried out. Simulation results show the validity of the proposed control scheme.

scholarly journals Control of Chaos in a Single Machine Infinite Bus Power System Using the Discrete Sliding Mode Control Technique

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Mohamed Zribi ◽  
Muthana T. Alrifai ◽  
Nejib Smaoui
Keyword(s):  
Sliding Mode Control ◽  
Power System ◽  
Discrete Time ◽  
Sliding Mode ◽  
Initial Conditions ◽  
Control Technique ◽  
Reaching Law ◽  
Mode Control ◽  
Control Scheme ◽  
Simulation Results

Under certain conditions, power systems may exhibit chaotic behaviors which are harmful and undesirable. In this paper, the discrete time sliding mode control technique is used to control a chaotic power system. The objective of the control is to eliminate the chaotic oscillations and to bring order to the power system. Two discrete time sliding mode control (DSMC) schemes are proposed for a fourth order discrete time chaotic power system. The first DSMC control scheme is based on the well-known exponential reaching law. The second DSMC control scheme is based on the recently developed double power reaching law. It is shown that the states of the controlled system converge to their desired values. Simulation results are presented for different values of the gains of the controllers as well as for different initial conditions. These results indicate that both control schemes work well. However, the simulation results show that the second control scheme gave better results since it was able to greatly reduce the chattering problem.

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