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Dead-beat control of linear discrete-time systems

1983; Taylor & Francis; Volume: 37; Issue: 4 Linguagem: Inglês

10.1080/00207178308933002

1366-5820

M. M. Fahmy, J. O’Reilly,

Advanced Control Systems Optimization

The paper considers the problem of determining the various classes of state-feed back dead-beat controllers for linear multivariable discrete-time systems. Unlike earlier work, attention is not restricted to the special case of minimum-time dead-beat controllers. A general dead-beat control problem is posed and solved. The solution is based principally on an approach of closed-loop eigenstructure assignment. The minimum of free parameters in each class are specified and used in an explicit parametric form for the feedback gain matrix. The concept of the greatest minimum of free parameters is introduced. Finally, the method is illustrated by a numerical example