Keywords: fuzzy logic, fuzzy control, nonlinear systems, stability analysis, water level control, Takagi-Sugeno, TS fuzzy controllers, three-tank systems, controller design, tuning
Stable design of Takagi-Sugeno fuzzy controllers for a laboratory three-tank system
This paper suggests a stable design approach dedicated to the Takagi-Sugeno fuzzy controllers for the water-level control of a laboratory three-tank system. The design approach is based on a simplified application of LaSalle's global invariant set theorem. An original stability analysis theorem offers sufficient inequality-type stability conditions that enable the controller design and tuning. Real-time experimental results are included to validate the theoretical results.