Elsevier

Automatica

Volume 19, Issue 5, September 1983, Pages 575-577
Automatica

Technical communique
Deadbeat control of discrete-time systems with singular state matrix using canonical decomposition☆

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Abstract

The problem of deadbeat control of controllable discrete-time systems with singular state matrix is considered. Our approach is based on the representation of the system obtained by isolating the reachable part of the system and the controllable but unreachable part using the Kalman structure theorem. It is shown that, eigenvalue assignment for controllable but unreachable single-input systems does not lead to a unique control law. In fact, the extra degrees of freedom available can be used to shape the transient response characteristics of the system.

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Cited by (2)

☆

This paper was recommended for publication in revised form by associate editor A. K. Mahalanabis under the direction of editors H. Kwakernaak and A. H. Levis.

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