I. Theoretical considerations

Abstract

An algorithm to perform the assignment by output feedback of an almost arbitrary set of eigenvalues for a class of linear time-invariant multivariable control systems with direct feedthrough is presented. This algorithm is a development of an earlier one proposed by the author for systems without feedthrough. Only the ordinary procedures of linear algebra are required for its implementation and the* proof given of the feasibility and validity of the algorithm includes a proof of the existence of the appropriate control law.