Elsevier

Automatica

Volume 33, Issue 4, April 1997, Pages 651-654
Automatica

Brief paper
Low-order stabilizers for linear systems

https://doi.org/10.1016/S0005-1098(96)00192-6Get rights and content

Abstract

The existence and construction of low-order stabilizers for linear systems are considered. Firstly, it is shown that for an all-pole plant the stability of the high-degree part of the plant transfer function's denominator guarantees the existence of a low-order stabilizer. Secondly, if this high-degree part is unstable, a method is presented to modify it such that the above result is applicable. Thirdly, an algorithm for constructing a low-order stabilizer for a general plant is developed where only a few linear algebraic equations need be solved. Several examples are included for illustration of the results.

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    Citation Excerpt :

    Finally, conclusions are given in Section 4. Wang et al. (1997a) point out that (8) may be used to construct low-order stabilizers if (2) is violated and Wang et al. (1997b) also develop three methods for constructing low-order controllers. In this note, it is shown that (8) can also be used to construct a minimal-order stabilizer of minimum phase plants for a general case.

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This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor J. M. Dion under the direction of Editor R. F. Curtain.

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