Title :
State-space solution of the causal factorization problem
Author_Institution :
Dept. of Math., Ohio State Univ., Columbus, OH, USA
Abstract :
Given rational matrix functions G, H, and R , the author gives a necessary and sufficient condition for the existence of a causal solution to the equation G×H =R. The author also gives a formula for a solution of the equation when it exists, and uses this particular solution to parametrize the set of all causal solutions of the equation. The results are specialized to the case when the function G is identically equal to identity. Applications of the present results include exact model matching and disturbance decoupling problems
Keywords :
control system analysis; matrix algebra; state-space methods; transfer functions; causal factorization problem; disturbance decoupling problems; exact model matching; rational matrix functions; state-space solution; transfer functions; Control theory; Cost accounting; Equations; H infinity control; Kernel; Poles and zeros; Polynomials; Size measurement; Sufficient conditions; Transfer functions;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371698
