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The design of energy and amplitude constrained optimal inputs for system identification

Leith, D.J., and Murray-Smith, D.J. (1993) The design of energy and amplitude constrained optimal inputs for system identification. System Analysis Modelling Simulation, 13 (3-4). pp. 209-238. ISSN 0232-9298

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Abstract

The use of appropriate constraints is essential if optimal inputs for system identification are to be of practical use, and deficiencies present in existing energy constraints are highlighted for certain situations. An output amplitude constraint is therefore proposed in order to overcome these deficiencies. New algorithms are then presented for the design of inputs with an input energy constraint, a combined input and state energy constraint, or oan output amplitude constraint. Using these three constraints, the design of D-optimal inputs is demonstrated for a simple first-order system, giving some valuable insight into the characteristics of these constraints, and the case of an output amplitude constraint for a more complex fifth-order system is also considered. Finally, proposals are made for further investigation into constraints for use in the design of system identification test inputs.

Item Type:Article
Keywords:System identification, optimal inputs for system identification, energy constrained inputs, amplitude constrained inputs
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Murray-Smith, Prof David
Authors: Leith, D.J., and Murray-Smith, D.J.
Subjects:T Technology > TJ Mechanical engineering and machinery
T Technology > TK Electrical engineering. Electronics Nuclear engineering
T Technology > TL Motor vehicles. Aeronautics. Astronautics
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:System Analysis Modelling Simulation
Journal Abbr.:SAMS
Publisher:Gordon and Breach Science Publishers
ISSN:0232-9298

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