Viswanadham, N and Taylor, JH (1973) On various types of decoupling for time-varying system. In: International Journal of Control, 17 (4). 869 - 880.
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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:||Journal Article|
|Additional Information:||Copy right of this article belongs to Taylor and Francis Group.|
|Department/Centre:||Division of Electrical Sciences > Electrical Engineering|
|Date Deposited:||05 Jan 2010 06:52|
|Last Modified:||19 Sep 2010 05:45|
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