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Stability Analysis of Third-Order Parametric Uncertain Nonlinear System

This paper proposes a stability analysis method for a third-order parametric uncertain system having separable but uncertain nonlinearity. The analysis makes use of Kharitonov theorem and describing function concept to test the stability. The case study is conducted for the load frequency control problem in which the power system model has non-reheated turbine with generation rate constraint as a nonlinearity. The model also exhibits parametric uncertainty.