Fractional terminal sliding mode control design for a class of dynamical systems with uncertainty

2012 ◽  
Vol 17 (1) ◽  
pp. 367-377 ◽  
Author(s):  
Sara Dadras ◽  
Hamid Reza Momeni
Keyword(s):  
Dynamical Systems ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Control Design ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control

scholarly journals A NEW APPROACH TO TERMINAL SLIDING MODE CONTROL DESIGN

2008 ◽  
Vol 7 (2) ◽  
pp. 177-181 ◽  
Author(s):  
Yiguang Hong ◽  
Guowu Yang ◽  
Daizhan Cheng ◽  
Sarah Spurgeon
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Control Design ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
New Approach ◽  
Mode Control

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.

scholarly journals Fractional-Order Fast Terminal Sliding Mode Control for a Class of Dynamical Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Guoliang Zhao
Keyword(s):  
Dynamical Systems ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Finite Time Stability ◽  
Mode Control ◽  
Fast Terminal Sliding Mode

This paper introduces a novel fractional fast terminal sliding mode control strategy for a class of dynamical systems with uncertainty. In this strategy, a fractional-order sliding surface is proposed, the corresponding control law is derived based on Lyapunov stability theory to guarantee the sliding condition, and the finite time stability of the closeloop system is also ensured. Further, to achieve the equivalence between convergence rate and singularity avoidance, a fractional-order nonsingular fast terminal sliding mode controller is studied and the stability is presented. Finally, numerical simulation results are presented to illustrate the effectiveness of the proposed method.

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