On various types of decoupling for time-varying systems

Viswanadham, N. ; Taylor, J. H. (1973) On various types of decoupling for time-varying systems International Journal of Control, 17 (4). pp. 869-880. ISSN 0020-7179

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0020717...

Related URL: http://dx.doi.org/10.1080/00207177308932430


This paper deals with the problem of decoupling a class of linear time-varying multi-variable systems, based on the defining property that the impulse response matrix of a decoupled system is diagonal. Depending on the properties of the coefficient matrices of the vector differential equation of the open-loop system, the system may be uniformly or totally decoupled. The necessary and sufficient conditions that permit a system to be uniformly or totally decoupled by state variable feedback are given. The main contribution of this paper is the precise definition of these two classes of decoupling and a rigorous derivation of the necessary and sufficient conditions which show the necessity of requiring that the system be of constant ordered rank with respect to observability. A simple example illustrates the importance of having several definitions of decoupling. Finally, the results are specialized to the case of time invariant systems.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Ltd.
ID Code:97823
Deposited On:13 Nov 2013 08:57
Last Modified:13 Nov 2013 08:57

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