New Methods for Control System Design Using Matrix Interpolation

Abstract: In this paper, it is shown how various familiar problems in control design and system identification can be formulated as interpolation problems, where powerful methods that have been recently developed can be used. This leads to new, more effective, and more practical solutions to classical system and control problems. Numerical issues and computer algorithm development are also discussed. Many system and control problems can be formulated in terms of matrix equations where polynomial or rational solutions with specific properties are of interest. It is known that equations involving just polynomials can be solved b