Meeting transfer function requirements via static measurement output feedback

Solutions to disturbance decoupling problem with constant measurement feedback for linear systems

“…Recently, Chen (1997) obtained a set of constructive conditions for the solvability of the DDPCM and characterized all the possible solutions for a class of systems which have a left invertible transfer function from the control input to the controlled output. A similar result for this class of system has also been reported by Koumboulis and Tzierakis (1998). The main difficulty for the DDPCM is known to be in solving a set of nonlinear equations, to which there has been no satisfactory solutions at this stage.…”

Robust Disturbance Rejection for Left-Invertible Linear Systems With Nonlinear-Uncertain Structure

“…From the first block of the equation (10) and condition (7) we conclude that the rational matrix ( ) ( , ), P w s q q must be proper with respect to w and thus it can be expanded in negative powers of w as follows ( ) ( ) ( )…”

Generalized invariant subspaces and parameter insensitive disturbance-rejection problems with static output feedback

“…After that the disturbance-rejection problem with static output feedback was studied by Chen [5] using the results of the special coordinate basis for linear left-invertible systems. Further, the same problem was studied by Koumboulis and Tzierakis [10] using rank conditions for linear left-invertible systems. On the other hand, from the practical viewpoint the robust disturbance-rejection problem with state feedback was first considered by Bhattacharyya [4] in the case in which the matrices depend linearly on uncertain parameters using the notion of generalized The author is with the Department of Information Sciences, Tokyo Denki University, Saitama 350-0394, Japan (e-mail: otsuka@j.dendai.ac.jp).…”