Slope seeking control using multi-units

Author

Azar, F. Esmaeilzadeh ; Perrier, M.

Author_Institution

Dept. of Chem. Eng., Ecole Polytech. Montreal, Montréal, ON, Canada

fYear

2014

fDate

8-10 Oct. 2014

Firstpage

1041

Lastpage

1045

Abstract

This paper introduces a new method for slope seeking control of the model-independent nonlinear continuous static scalar and unconstrained systems. The proposed controller is the generalization of a global optimization scheme based on multi-unit extremum seeking control that drives the estimated gradient to an arbitrary slope. Herein, a monotonically decreasing offset is introduced between the inputs of two identical units and the estimated gradient by finite difference is controlled to a commanded slope of the nonlinear map by means of an integrator. The algorithm is applied to an illustrative simulation to demonstrate the successful capability of the proposed slope seeking feedback control.

Keywords

adaptive control; continuous time systems; feedback; finite difference methods; gradient methods; nonlinear control systems; optimal control; optimisation; arbitrary slope; finite difference control; global optimization scheme generalization; gradient estimation; identical unit inputs; integrator; model-independent nonlinear continuous static scalar-and-unconstrained systems; monotonically decreasing offset; multiunit extremum seeking control; nonlinear map; slope command; slope seeking control; slope seeking feedback control; Conferences; Control systems; Convergence; Equations; Linear programming; Mathematical model; Optimization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications (CCA), 2014 IEEE Conference on

Conference_Location

Juan Les Antibes

Type

conf

DOI

10.1109/CCA.2014.6981472

Filename

6981472