An interval type-2 fuzzy regulator for magnetic levitation system

This paper extends the design of type-1 fuzzy regulator for a set of operating points to interval type-2 fuzzy regulator with magnetic levitation system as the test bench. Both the regulators employ type-1 Takagi-Sugeno (TS) fuzzy model of the plant and the control gains in each case are determined through a set of linear matrix inequalities to ensure global system stability. MATLAB simulations are performed to prove the validity of the extended regulator where it is also compared with the existing type-1 regulator. It is shown that interval type-2 fuzzy regulator has better transient performance as compared to type-1 fuzzy regulator.