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Minimal time deadbeat regulation and control of linear, stationary, sampled-date systems

Citation

de Barbeyrac, Jacques J. (1963) Minimal time deadbeat regulation and control of linear, stationary, sampled-date systems. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:04052012-083321157

Abstract

The problem of minimal time deadbeat regulation and control of linear, stationary, sampled-data systems is studied in this dissertation, assuming that only a limited number of the state variables are directly observable. The problem is first solved for the usual one-input one-output systems. The existing techniques for deadbeat digital compensation are all derived under the assumption that a specific initial state always exists; it will be shown that if this condition is violated and a digital controller is designed using the existing methods, the system has a transient response with time constants corresponding to the stable poles of the open-loop system. A technique to overcome this difficulty is developed using both a state-space and a z-transform approach to the problem. A digital controller which in a sense first identifies the complete state and then proceeds to control it in a deadbeat fashion is synthesized.

The problem is next solved for multi-input, multi-output systems, using a state-space approach different from the one used for the one-input, one-output systems. It is first shown that if all the state variables are directly observable and the system is completely controllable in N sampling periods, there always exists at least one stationary, linear feedback law which will regulate the system in N sampling periods. If only a limited number of the state variables are directly observable, but the system is completely observable in N sampling periods, then there exist "discrete compensators" which will regulate the system in (N + N') sampling periods.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Electrical Engineering
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Mullin, F. J.
Thesis Committee:
  • Wilts, Charles Harold
  • Franklin, Joel N.
Defense Date:1 January 1963
Record Number:CaltechTHESIS:04052012-083321157
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:04052012-083321157
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6892
Collection:CaltechTHESIS
Deposited By: Tony Diaz
Deposited On:09 Apr 2012 15:37
Last Modified:26 Dec 2012 04:41

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