Sliding Mode Control of 2-D Systems

This chapter investigates the sliding mode control (SMC) of 2-D discrete systems. Our aim is to extend the existing SMC methodologies for 1-D systems to the 2-D discrete systems. Sufficient conditions are derived for the analysis of the sliding mode dynamics, and the solvability condition for the design of linear switching surface functions are also established. Based on this, two different SMC design procedures are proposed.