Block-triangular Decomposition of a Linear Discrete Large-Scale Systems via the Generalized Matrix Sign Function

행렬부호 함수에 의한 선형 이산치 대규모 계통의 블럭 삼각화 분해

An analysis and design of large-scale linear multivariable systems often requires to be block triangularized form for good sensitivity of the systems when their poles and zeros are varied. But the decomposition algorithms presented up to now need a procedure of permutation, rescaling and a solution of nonlinear algebraic equations, which are usually burden. To avoid these problem, in this paper we develop a newly alternative block triangular decomposition algorithm which used the generalized matrix sign function on the Z-plane. Also, the decomposition algorithm demonstrated using the fifth order linear model of a distillation tower system.