Stability analysis of a class of MIMO fuzzy control systems

This paper suggests a new stability analysis approach dedicated to a class of fuzzy control systems controlling multi input-multi output (MIMO) nonlinear processes by means of Takagi-Sugeno fuzzy logic controllers. The approach is based on LaSalle´s global invariant set theorem, and an original stability theorem offers sufficient stability conditions. The applicability and efficiency of the theoretical results are illustrated by a MIMO case study dealing with the fuzzy control of a spherical three tank system.