Extremum seeking regulator for a class of unknown SISO nonlinear systems

Document identifier: oai:DiVA.org:ltu-75939
Access full text here:10.23919/ACC.2019.8814768
Keyword: Engineering and Technology, Electrical Engineering, Electronic Engineering, Information Engineering, Control Engineering, Teknik och teknologier, Elektroteknik och elektronik, Reglerteknik
Publication year: 2019
Relevant Sustainable Development Goals (SDGs):
SDG 9 Industry, innovation and infrastructure
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This paper proposes an extremum-seeking regulator design based on a Lie bracket averaging technique for nonlinear systems in the presence of unknown disturbance dynamics. The approach adopts a post-processing output regulation method for the regulation of nonlinear systems to the unknown minimum of a measured objective function. The stability analysis demonstrates that one can achieve practical output regulation of the unknown optimum equilibrium. A simulation study demonstrates the ability of the proposed technique to solve general output regulation problems in the absence of exact knowledge of the process dynamics, disturbance dynamics and a corresponding internal model.


Martin Guay

Department of Chemical Engineering, Queen’s University, Kingston, ON, K7L 3N6, Canada
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Khalid Tourkey Atta

Luleå tekniska universitet; Signaler och system
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