Output feedback control for fractional-order Takagi–Sugeno fuzzy systems with unmeasurable premise variables

In this study, the problem of fractional-order (FO) output feedback controller design for FO Takagi–Sugeno (TS) fuzzy systems with deterministic parameters and unmeasurable premise variables has been investigated, and the FO is in the range of 0 to 2. First, the FO TS fuzzy system is changed to an equivalent FO system with uncertain parameters. Then, a FO output feedback controller for the equivalent FO uncertain parameter system can be designed. In terms of linear matrix inequality, an explicit expression for the designed FO output feedback controller is found. Consequently, the FO TS fuzzy system is shown to be stabilized by the designed FO output feedback controller. Examples are included to demonstrate the effectiveness of the proposed method.

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