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Title: Output feedback : a geometric approach
Author: Denham, M. J.
Awarding Body: University of London
Current Institution: Imperial College London
Date of Award: 1973
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This thesis presents an original extension of the geometric theory of linear multivariable systems. The theory is developed for the case when feedback control for the system concerned is restricted to be derived from only the observable outputs of the system. The main results obtained are in the field of noninteraction for linear multivariable systems, the chief application of the geometric theory introduced by Wonham and Morse, and described in the thesis. Necessary and sufficient conditions are obtained for the existence of decoupling controls, and a method of constructing a dynamic controller of low order is given for the case when it is not possible to obtain non-interaction by non-dynamic output feedback. A further extension is made in the case of pole assignment by output feedback, and for the less stringent condition of system stabilisation, a theorem providing a sufficient condition for stabilising a system by output feedback is proved using the geometric theory. Additional topics concerned with output feedback control are discussed including the geometric theory of observers.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available