Modified Super-Twisting Interception Strategy With a Maximal Capture Zone

2010 ◽  
Author(s):  
Valery Y. Glizer ◽  
Vladimir Turetsky ◽  
Leonid Fridman ◽  
Josef Shinar
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Sufficient Conditions ◽  
Second Order ◽  
Capture Zone ◽  
Mode Control ◽  
New Strategy ◽  
Homing Performance ◽  
Simulation Results ◽  
Second Order Sliding Mode

A planar linearized interception problem of a maneuverable target is considered. A novel continuous interception strategy, based on the super-twisting second-order sliding mode control, is constructed. The sufficient conditions guaranteeing that this strategy has the maximal capture zone are established. Simulation results demonstrate that the control expenditure of the new strategy is reduced without deteriorating the homing performance in comparison with a bang-bang strategy.

scholarly journals Stability Analysis of a Class of Second Order Sliding Mode Control Including Delay in Input

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Pedro R. Acosta
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Sufficient Conditions ◽  
Second Order ◽  
Control Input ◽  
Sliding Surface ◽  
Numerical Examples ◽  
Mode Control ◽  
Second Order Sliding Mode

This paper deals with a class of second order sliding mode systems. Based on the derivative of the sliding surface, sufficient conditions are given for stability. However, the discontinuous control signal depend neither on the derivative of sliding surface nor on its estimate. Time delay in control input is also an important issue in sliding mode control for engineering applications. Therefore, also sufficient conditions are given for the time delay size on the discontinuous input signal, so that this class of second order sliding mode systems might have amplitude bounded oscillations. Moreover, amplitude of such oscillations may be estimated. Some numerical examples are given to validate the results. At the end, some conclusions are given on the possibilities of the results as well as their limitations.

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