Title : 
Study of discretization of two-dimensional sliding mode control systems
         
        
            Author : 
Galias, Zbigniew ; Yu, Xinghuo
         
        
            Author_Institution : 
Dept. of Electr. Eng., AGH-Univ. of Sci. & Technol., Krakow
         
        
        
        
        
            Abstract : 
Zero-order holder discretization of two-dimensional sliding mode control system is studied. Steady-state behaviors are classified and their bounds are found. Conditions under which the system trajectory in the steady state spends at most two iterations on each side of the sliding surface are presented. The existence of complex switching patterns for arbitrarily small discretization steps is confirmed. Theoretical results are illustrated with simulation examples.
         
        
            Keywords : 
poles and zeros; variable structure systems; 2D sliding mode control systems; complex switching patterns; sliding surface; steady-state behavior; system trajectory; zero-order holder discretization; Australia; Control systems; Linear systems; Motion control; Orbits; Robust control; Sampling methods; Sliding mode control; Steady-state; Switching frequency;
         
        
        
        
            Conference_Titel : 
Circuit Theory and Design, 2007. ECCTD 2007. 18th European Conference on
         
        
            Conference_Location : 
Seville
         
        
            Print_ISBN : 
978-1-4244-1341-6
         
        
            Electronic_ISBN : 
978-1-4244-1342-3
         
        
        
            DOI : 
10.1109/ECCTD.2007.4529699