Backstepping control for a class of uncertain systems based on non-singular terminal sliding mode

2009 ◽  
Author(s):  
Min Jianqing ◽  
Xu Zibin
Keyword(s):  
Uncertain Systems ◽  
Sliding Mode ◽  
Backstepping Control ◽  
Terminal Sliding Mode

Adaptive Fast Terminal Sliding Mode Control for a Class of Uncertain Systems with Input Nonlinearity

2017 ◽  
Vol 21 (3) ◽  
pp. 518-526
Author(s):  
Linjie Xin ◽  
◽  
Qinglin Wang ◽  
Yuan Li ◽  
Jinhua She ◽  
...  
Keyword(s):  
Uncertain Systems ◽  
Control Method ◽  
Sliding Mode ◽  
Mimo System ◽  
Dead Zone ◽  
Lyapunov Stability Theory ◽  
Control Law ◽  
Terminal Sliding Mode ◽  
Input Nonlinearity ◽  
Single Output

This study investigates the terminal sliding mode (TSM) control for a class of first-order uncertain systems with dead-zone and saturation. First, a new adaptive TSM control law was proposed for the single-input and single-output (SISO) systems by employing an integral fast TSM. It achieves rejection for both system uncertainty and input nonlinearity. The global reaching condition of the sliding mode is guaranteed by the Lyapunov stability theory. The new control law possesses faster convergence than the linear sliding mode method, and the singularity problem of TSM is avoided. Then, the control law was extended for tracking control of a dynamic model of spacecraft which was a multi-input and multi-output (MIMO) system. Finally, the simulation results confirmed the effectiveness of the proposed control method.

A sliding mode control design for mismatched uncertain systems based on states transformation scheme and chattering alleviating scheme

2017 ◽  
Vol 40 (8) ◽  
pp. 2509-2516 ◽  
Author(s):  
Xianqiang Li ◽  
Jun Zhou
Keyword(s):  
Sliding Mode Control ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Control Design ◽  
Terminal Sliding Mode Control ◽  
Control Performance ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Chattering Free ◽  
System Knowledge

In this paper, a class of mismatched uncertain systems is investigated. And a novel sliding mode control design is presented. During the design process of the proposed control, a transformation scheme is proposed, which can easily transform the mismatched uncertain systems into matched systems. Based on the matched systems, a novel full order sliding mode surface is designed, which can avoid the singular issue of terminal sliding mode control. And a chattering alleviating scheme is also proposed, which can ensure that the sliding mode control is chattering free regardless of whether the conventional sliding mode control or the terminal sliding mode control is used. Compared with the recurrent controller, the complexity of the proposed controller is reduced. It is much simpler and easy to implement. Also, the need of system knowledge is also reduced. The control performance is validated by simulation.

Second-order fast terminal sliding mode control design based on LMI for a class of non-linear uncertain systems and its application to chaotic systems

2016 ◽  
Vol 23 (18) ◽  
pp. 2912-2925 ◽  
Author(s):  
Saleh Mobayen ◽  
Dumitru Baleanu ◽  
Fairouz Tchier
Keyword(s):  
Sliding Mode Control ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Second Order ◽  
Control Technique ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Non Linear

In this paper, an linear matrix inequalities (LMI)-based second-order fast terminal sliding mode control technique is investigated for the tracking problem of a class of non-linear uncertain systems with matched and mismatched uncertainties. Using the offered approach, a robust chattering-free control scheme is presented to prove the presence of the switching around the sliding surface in the finite time. Based on the Lyapunov stability theorem, the LMI conditions are presented to make the state errors into predictable bounds and the parameters of the controller are obtained in the form of LMI. The control structure is independent of the order of the model. Then, the proposed method is fairly simple and there is no difficulty in the use of this scheme. Simulations on the well-known Genesio's chaotic system and Chua's circuit system are employed to emphasize the success of the suggested scheme. The simulation results on the Genesio's system demonstrate that the offered technique leads to the superior improvement on the control effort and tracking performance.

scholarly journals A New Fast Nonsingular Terminal Sliding Mode Control for a Class of Second-Order Uncertain Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Linjie Xin ◽  
Qinglin Wang ◽  
Yuan Li
Keyword(s):  
Uncertain Systems ◽  
Sliding Mode ◽  
Second Order ◽  
Terminal Sliding Mode ◽  
Nonsingular Terminal Sliding Mode ◽  
Exponential Decline ◽  
Control Scheme ◽  
Fast Convergence Rate ◽  
The Stability

This paper considers the robust and adaptive nonsingular terminal sliding mode (NTSM) control for a class of second-order uncertain systems. First, a new fast NTSM was proposed which had global fast convergence rate in the sliding phase. Then, a new form of robust NTSM controller was designed to handle a wider class of second-order uncertain systems. Moreover, an exponential-decline switching gain was introduced for chattering suppression. After that, a double sliding surfaces control scheme was constructed to combine the NTSM control with the adaptive technique. The benefit is that a strict demonstration can be given for the stagnation problem in the stability analysis of NTSM. Finally, a case study for tracking control of a variable-length pendulum was performed to verify the proposed controllers.

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