Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0005-1098(00)00090-X
Title: Solutions to disturbance decoupling problem with constant measurement feedback for linear systems
Authors: Chen, B.M. 
Mareels, I.M.Y.
Zheng, Y.
Zhang, C.
Issue Date: Nov-2000
Source: Chen, B.M., Mareels, I.M.Y., Zheng, Y., Zhang, C. (2000-11). Solutions to disturbance decoupling problem with constant measurement feedback for linear systems. Automatica 36 (11) : 1717-1724. ScholarBank@NUS Repository. https://doi.org/10.1016/S0005-1098(00)00090-X
Abstract: We study in this paper the problem of disturbance decoupling with constant (i.e., static) measurement feedback (DDPCM) for linear systems. For a class of systems which have a left invertible transfer function from the control input to the controlled output or a right invertible transfer function from the disturbance input to the measurement output, we obtain a complete characterization of all solutions to the DDPCM. For a system that does not satisfy the above invertibility condition, we use the special co-ordinate basis to obtain a reduced-order system. Then a complete characterization of all possible solutions to the DDPCM for the given system can be explicitly obtained, if the obtained reduced-order system itself satisfies the invertibility condition. The main advantage of these solutions is that the solutions are given in a set of linear equations. This resolves the well known difficulty in solving non-linear equations associated with the DDPCM.
Source Title: Automatica
URI: http://scholarbank.nus.edu.sg/handle/10635/62794
ISSN: 00051098
DOI: 10.1016/S0005-1098(00)00090-X
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