Title :
State-space solution of the causal factorization problem
Author_Institution :
Dept. of Math., Ohio State Univ., Columbus, OH, USA
fDate :
12/1/1993 12:00:00 AM
Abstract :
Given rational matrix functions, G, H, and R, a necessary and sufficient condition is given for the existence of a causal solution to the equation GXH=R. A formula is given for a solution of the equation when it exists, and this particular solution is used to parameterize 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 author´s results include exact model matching and disturbance decoupling problems
Keywords :
matrix algebra; state-space methods; causal factorization problem; causal solutions; disturbance decoupling problems; exact model matching; necessary and sufficient condition; rational matrix functions; state-space solution; Automatic control; Control systems; Cost function; Equations; Feedback control; Frequency domain analysis; Notice of Violation; Optimal control; Output feedback; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
