Let P(s,δ) be a sphere plant family described by the transfer function set where the coefficients of the denominator and numerator polynomials are affine in a real uncertain parameter vector δ satisfying the Euclide...Let P(s,δ) be a sphere plant family described by the transfer function set where the coefficients of the denominator and numerator polynomials are affine in a real uncertain parameter vector δ satisfying the Euclidean norm constraint ||δ||<δ.The concept of stabilizability radius of P(s,δ) is introduced which is the norm bound δs for δ such that every member plant of P(s,δ) is stabilizable if and only if ||δ||<δs.The stabilizability radius can be simply interpreted as the 'largest sphere' around the nominal plant P(s,0) such that P(s,δ) is stabilizable.The numerical method and the analytical method are presented to solve the stabilizability radius calculation problem of the sphere plants.展开更多
基金Project(JSPS.KAKENHI22560451) supported by the Japan Society for the Promotion of ScienceProject(69904003) supported by the National Natural Science Foundation of ChinaProject(YJ0267016) supported by the Advanced Ordnance Research Supporting Fund of China
文摘Let P(s,δ) be a sphere plant family described by the transfer function set where the coefficients of the denominator and numerator polynomials are affine in a real uncertain parameter vector δ satisfying the Euclidean norm constraint ||δ||<δ.The concept of stabilizability radius of P(s,δ) is introduced which is the norm bound δs for δ such that every member plant of P(s,δ) is stabilizable if and only if ||δ||<δs.The stabilizability radius can be simply interpreted as the 'largest sphere' around the nominal plant P(s,0) such that P(s,δ) is stabilizable.The numerical method and the analytical method are presented to solve the stabilizability radius calculation problem of the sphere plants.
