It is a well-known fact that every plant has an occurrence matrix and every matrix has a well known diagonal singular value matrix. If this singular value matrix is dimensionally reduced, it is as good as eliminating the disturbances and hence the uncertainties. Once these uncertainties are eliminated a robust stability can be achieved as this information can be fed back to improve error performance It is a derived fact that stability is associated with eigen values of the matrix and maximum gain corresponds to the eigenvectors associated to the maximum eigen value. This idea has been brought forward in this technical paper and it illustrates the QFT-ICST-SVD-PCA based novel hierarchical algorithm to control MIMO uncertain plant. The controller is designed through this algorithm which is executed in the matlab environment.
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