MINIMAL ORDER, MEASURABLE OUTPUT, DISTURBANCE REJECTION FEEDBACK COMPENSATORS. Conference Paper

abstract

• A necessary and sufficient condition is established for the existence of a measurable-output disturbance-rejection feedback for a given multivariable linear system with disturbances. If the condition developed does not hold, a method of determination of an extension of the given system via a dynamic compensator is presented. An upper and lower bound on a minimal extension is established. The stability of the closed-loop system is considered, and the structure of the closed-loop characteristic polynomial is discussed. The results are applied to solve rational matrix equations G(s)X(s)N(s) plus H(s) equals 0. It is shown that the existence of a proper transfer matrix solution X(s) to G(s)X(s)N(s) plus H(s) equals 0 is equivalent to the existence of a measurable-output disturbance-rejection feedback for a certain multivariable linear system with disturbances.

authors

• Bhattacharyya, S

published proceedings

• Proceedings of the IEEE Conference on Decision and Control

author list (cited authors)

• Solak, M. K., & Bhattacharyya, S.

complete list of authors

• Solak, MK||Bhattacharyya, S

publication date

• December 1987

published in

• IEEE Conference on Decision and Control  Journal

start page

• 476

end page

• 481