An Improved Algorithm for Set Inversion using Interval Analysis with Application to ControlSystem

We present an algorithm to characterize the set S = {x epsi Rfr^l : f(x) > 0} = f^-1(]0,infin[^m) in the framework of set inversion using interval analysis. The proposed algorithm improves on the algorithm of Jaulin et. al. The improvement exploits powerful Hansen´s method for solving systems of nonlinear inequalities. We test and compare the performance of the proposed and existing algorithms in characterizing the domain for the robust stability. The results of the testing show that the proposed algorithm is computationally efficient and encloses the solution more sharply than the existing algorithm, requires less memory space and iterations.