A generalized reaching law with different convergence rates. (January 2016)

• Record Type: Journal Article
• Authors: Chakrabarty, Sohom; Bandyopadhyay, Bijnan
• Is Part Of: Automatica. Volume 63(2016)
• Page Start: 34
• Page End: 37
• Publication Date: 2016-01
• Subjects: Discrete sliding mode control -- Generalized algorithm -- Discrete reaching law -- Band approach -- Varying convergence rate; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2015.10.018
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: Traditionally, the convergence rate of the sliding variable given by a discrete reaching law has been fixed in nature. This paper presents a generalized algorithm for discrete time sliding mode control systems which offers a flexible convergence rate for the sliding variable. For analysis, we use the recently developed band approach method which gives us the values of the parameters in the algorithm for the desired convergence to take place, once the ultimate band is chosen appropriately.