Robust control in state space
Szumko, Stefan (1987) Robust control in state space. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b2284791~S9
We consider the problem of robustness, in particular that of robust stability. Such a problem is amenable to analysis by frequency domain techniques, and also using state space methods. Using some recent state space theory yielding the exact radius of the ball around a nominally stable system within which all additive perturbations retain stability, we show how control action may be implemented to increase the radius of this ball. We present further some material on how destabilizing perturbations may be constructed from solutions of Riccati equations, and how the above mentioned radii may be found with respect to an alternative norm to the one used above. Finally we give some remarks on the use of Lyapunov functions for systems.
|Item Type:||Thesis or Dissertation (PhD)|
|Subjects:||Q Science > QA Mathematics|
|Library of Congress Subject Headings (LCSH):||State-space methods -- Research, Stability -- Research, Riccati equation, Lyapunov functions, System analysis -- Research|
|Official Date:||January 1987|
|Institution:||University of Warwick|
|Theses Department:||Control Theory Centre|
|Supervisor(s)/Advisor:||Pritchard, A. J.|
|Sponsors:||Science and Engineering Research Council (Great Britain) (SERC)|
|Format of File:|
|Extent:||170 leaves : ill., charts|
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