Matuš? R.Senol B.Alagoz B.B.Ates A.2024-08-042024-08-04202197830309032062367-3370https://doi.org/10.1007/978-3-030-90321-3_3https://hdl.handle.net/11616/920115th Computational Methods in Systems and Software, CoMeSySo 2021 -- 1 October 2021 through 1 October 2021 -- 268789This example-oriented contribution deals with the value set-based numerical analysis of robust stability for the family of fractional-order retarded quasi-polynomials with both uncertain parameters and uncertain fractional orders. The specific investigated feedback control system consists of the fractional-order PID controller and the controlled plant, represented by a heat transfer process described by the linear time-invariant fractional-order time-delay model with parametric uncertainty (with three uncertain parameters, namely, gain, fractional time constant, and fractional time-delay term, and furthermore two fractional orders). The graphical robust stability analysis is based on the numerical calculation of the value sets and the application of the zero exclusion principle. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.eninfo:eu-repo/semantics/closedAccessFractional-order systemsParametric uncertaintyRetarded quasi-polynomialsRobust stabilityUncertain fractional ordersValue setZero exclusion principleConference Object231 LNNS182310.1007/978-3-030-90321-3_32-s2.0-85120684997Q4