AnImnproved Algorithrn forSetInversion using Interval Analysis withApplication toControl Systern
P. S. V. Nataraj · 2006
Wepresent analgorithm tocharacterize thesetviasetinversion. Theproposed improvement isbasedon S {xCX f(x) >0}= f-1()0, OC()intheframeworkofset powerful Hansen's methodforsolving systems ofnonlinear inversion usinginterval analysis. The proposedalgorithm . improveson thealgorithm ofJaulinet.al.The improve-inequalities. mentexploits powerful Hansen's methodforsolving systems We testandcomparetheperformance oftheproposed ofnonlinear inequalities. We testandcompare theperfor-andexisting algorithms incharacterizing thedomainforro- manceoftheproposedandexisting algorithms incharacter-buststability. Theresults ofthetesting showthatthepro- izing thedomainfortherobuststability. The results ofthe testing showthattheproposed algorithm iscomputationally posedalgorithm iscomputationally efficient andencloses efficient andencloses thesolution moresharply thantheex- thesolution moresharply thanexisting algorithm- mean- isting algorithm, requires lessmemoryspaceanditerations. ingthatitdeletes certainly infeasible region. ~~~~~~~~w(X) = maxcX-minX ifX C IX,andasw(X)=