Discrete-time systems sliding mode switching hyper plane design: A survey

Abstract

As regards to variable structure control with sliding mode (VSC-SM), it is knownthat designing sliding surface is a critical task because sliding surfaces mustguarantee that the steady state of the controlled system achieves some desiredperformance including global (or global asymptotic) stability. This problem hasbeen extensively analyzed for a wide class of systems: scalar, multivariable, lin-ear, nonlinear, time-variant, discrete-time system, etc. The main purpose of thispaper is to present a thorough survey about the main approaches related to thedesign of discrete-time switching surfaces applied to VSC-SM. Research workscovering the design of sliding surfaces for the aforementioned systems are con-sidered and some illustrative examples are also included to explain some of thedesign methodologies.