Robustness of pole assignment for an interval polynomial in a damping-cone based on the positive interval Routh-Table

This study elucidates the robustness of a pole assignment of an interval polynomial in a damping-cone using Like λ-Degree feedback gain based on positive interval Routh-Table (PIRT). Arithmetic rules for positive interval coefficients are defined. A PIRT is assumed to be available, and is constructed following the positive interval coefficients arithmetic rules. All entries of the PIRT fulfill the conditions of a positive logic structure, which is stable. Introducing a binomial coefficients type feedback gain, an s-plane rotation angle and the complex conjugate of the characteristic polynomial, the robust stability and the robust damping-cone stability feedback gain design are transformed into solving the family of SCP that all have positive function values. Illustrative examples are given.