Analysis of Sliding Mode for Mimo Systems

Abstract The two following problems are addressed using a Lyapunov approach for the analysis of sliding motions for Non Linear Non Autonomous MIMO systems: on one hand, the estimation of the sliding domain (Utkin, 1992); on the other hand, the estimation of the domain of all initial conditions from which the solutions converge to the sliding domain (Perruquetti, 1997). The proposed results are illustrated by two approaches for the design of a bounded control for a chemical plant with two interconnected tanks.