Bumpless Tracking Switching Control for Interval Type-2 Switched Positive T–S Fuzzy Systems

This article proposes a bumpless tracking switching control method for the interval type-2 (IT2) switched positive Takagi–Sugeno (T–S) fuzzy systems (SPTSFSs). The IT2 SPTSF model is employed to adeptly transform the nonlinear positive system into a linear form with inherent uncertainties addressed by IT2 fuzzy sets. First, the conservativeness of the system model is relaxed by refining the IT2 membership function. Then, by the multiple Lyapunov functions technique, the condition is developed to derive the solvability of the bumpless tracking switching control issue for the IT2 SPTSFSs. By employing the matrix transformation method, the condition is convex. Furthermore, controller and switching logic are established to force the IT2 SPTSFSs to obtain the bumpless tracking switching performance. Finally, an elaborate simulation case on the turbine engine is given to verify the validity of the introduced bumpless tracking switching control strategy.