Brief paper: Periodic optimization of hammerstein-type systems

Authors:
P. Valkó;G. A. Almásy
Affiliations:
Laboratory for Chemical Cybernetics, Eötvös Loránd University, H-1088 Budapest, Muzeum krt. 6/8, Hungary;Computer and Automation Research Institute, Hungarian Academy of Sciences, H-1502, Budapest, Kende u.13/17, Hungary
Venue:
Automatica (Journal of IFAC)
Year:
1982

Citing 2
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Adaptive on-line steady-state optimization of slow dynamic processes

Automatica (Journal of IFAC)
Correspondence item: Periodic optimization of linear systems under control power constraints

Automatica (Journal of IFAC)

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Abstract

The output time average of a discrete time single-input single-output nonlinear system is maximized in cyclic operation under constraints on the power of the periodic component of the control. The least upper bound is obtained by making use of the Caratheodory theorem on trigonometric moments. An algorithm to find a solution, optimal within any prescribed threshold is given, which reduces to standard matrix eigenvalue calculations.