Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/72932
Title: Solutions to disturbance decoupling problem with constant measurement feedback for linear systems
Authors: Chen, Ben M. 
Mareels, Iven M.Y. 
Zheng, Yu Fan
Zhang, Cishen
Issue Date: 1999
Source: Chen, Ben M.,Mareels, Iven M.Y.,Zheng, Yu Fan,Zhang, Cishen (1999). Solutions to disturbance decoupling problem with constant measurement feedback for linear systems. Proceedings of the IEEE Conference on Decision and Control 4 : 4062-4067. ScholarBank@NUS Repository.
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 and/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 satisfies the above invertibility condition, we use the special coordinate 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 contribution of these solutions is that the solutions are given in a set of linear equations. This resolves the well known difficulty in solving nonlinear equations associated with the DDPCM. When the invertibility condition is not satisfied, the solutions are characterized by a set of polynomial equations related to the obtained reduced-order system. This reduced-order characterization significantly simplifies the problem and reduces the computational cost in finding solutions to the DDPCM.
Source Title: Proceedings of the IEEE Conference on Decision and Control
URI: http://scholarbank.nus.edu.sg/handle/10635/72932
ISSN: 01912216
Appears in Collections:Staff Publications

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