ROBUST STABILITY OF A CLASS OF POLYNOMIAL FAMILIES UNDER NONLINEARLY CORRELATED PERTURBATIONS

摘要

Kharitonov-like result and edge result are established for robust stability of a class of polynomial families with nonlinearly correlated perturbations - some composite functions of the numerator and denominator of interval plants or polytopic plants. These results are useful in robust stability analysis of feedback control systems as well as uncertain polynomial matrices. Illustrative examples are presented. (C) 1997 Elsevier Science B.V. [References: 10]