Elsevier

Automatica

Volume 16, Issue 3, May 1980, Pages 335-338
Automatica

Brief paper
Design of pole-placement compensators for multivariable systems

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Abstract

The paper describes a two-stage method for the design of dynamic compensators for pole placement in linear multivariable systems. In the first stage, a number of poles are assigned by means of constant output feedback. In the second stage, the assigned poles are preserved and a number of additional poles are placed using dynamic output feedback. The pole placement is achieved using a compensator of lower order than required by the existing methods, since now the compensator has non-unity rank transfer function matrix. In particular, for a compensator of given order, a larger number of poles can be placed using this method compared to the existing methods.

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The original version of this paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by associate editor M. Jamshidi.

The closed-loop poles in Stage One must be distinct for preservation of poles to be possible in Stage Two. Therefore, if necessary, slight alterations are made to the specified positions to obtain m-1 distinct locations.

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