The disturbance decoupling problem in decentralized linear multi-variable systems by local dynamic feedback (Q1105531)

Following the works of the first author and \textit{Y. F. Zheng} [Int. J. Control 46, 97-109 (1987)] on the problem of disturbance decoupling in decentralized systems with non-dynamic feedback (DDPP), this paper studies the problem of disturbance decoupling in decentralized linear multi-variable systems with one or two local dynamic feedbacks (abbreviated as DDDPDC1 or DDDPDC2 respectively). A counter-example is given to indicate that the main results of \textit{J. E. R. Cury} [Syst. Control Lett. 2, 110-117 (1982; Zbl 0493.93030)] are incorrect. Developping the concepts such as structure subspace pair and structure subspace vector, the necessary and sufficient conditions of DDDPDC1 and DDDPDC2 using low order compensators is derived.