Loss of quality in optimal control

System optimization over a parameter space produces optimal solutions which lie on the bifurcation set of the ambient space. As such, the optimality (quality) metric (as a function of the parameters) is highly sensitive to the parameters, to the point of inducing instability for differential paramet...

Full description

Saved in:
Bibliographic Details
Main Authors: Nwokah, O.D.I., Happawana, G.S., Afolabi, D.
Format: Conference Proceeding
Language:English
Subjects:
Bifurcation
Control systems
Feedback loop
Mechanical engineering
Optimal control
Optimization methods
Polynomials
Power engineering and energy
Predictive models
Structural engineering
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:System optimization over a parameter space produces optimal solutions which lie on the bifurcation set of the ambient space. As such, the optimality (quality) metric (as a function of the parameters) is highly sensitive to the parameters, to the point of inducing instability for differential parameter variations. Singularities in this function diffeomorphically induce corresponding degenerate singularities in the optimal closed loop characteristic polynomials, which serves as a signature for potential catastrophic loss of quality that is most easily exhibited by the resulting dynamic instability. We examine the loss of quality in H/sup /spl infin// and related optimal systems via these diffeomorphic degenerate closed loop poles.
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.1998.694755