Robust Stability Analysis using Polynomial B-spline Approach

Abstract

The robust stability analysis problems can be reduced to constrained global optimization of strict inequalities (or equations) involving multivariate polynomials. We propose algorithms based on polynomial B-spline form for constrained global optimization of multivariate function. The proposed algorithms are based on a branch-and-bound framework. We tested the proposed basic constrained global optimization algorithms by considering the robust stability analysis problem. The obtained results agree with those reported in literature.