scholarly journals A new LMI-based robust Sliding Mode Control for the uncertain discrete-time systems

2014 ◽  
Author(s):  
Ahmadreza Argha ◽  
Li Li ◽  
Steven W. Su ◽  
Hung Nguyen
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Mode Control ◽  
Discrete Time Systems ◽  
Time Systems

Sliding Mode Control of Discrete-Time Systems

2000 ◽  
Vol 122 (4) ◽  
pp. 793-802 ◽  
Author(s):  
A. Jafari Koshkouei ◽  
A. S. I. Zinober
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Sufficient Conditions ◽  
Control Design ◽  
Continuous Case ◽  
Mode Control ◽  
Discrete Time Systems ◽  
Set Of Points ◽  
Time Systems

In discrete-time systems, instead of having a hyperplane as in the continuous case, there is a countable set of points comprising a so-called lattice; and the surface on which these sliding points lie is the latticewise hyperplane. In this paper the concept of multivariable discrete-time sliding mode is clarified and new sufficient conditions for the existence of the sliding mode are presented. A new control design using the properties of discrete sliding is proposed, and the behavior of the system in the sliding mode is studied. Furthermore, the stabilization of discrete-time systems and an optimal sliding lattice are considered. [S0022-0434(00)02804-5]

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