Adapting first order nonlinear systems using extremum seeking

We extend extremum seeking model reference adaptive control (ES-MRAC) to a certain class of first order nonlinear systems. Different cost functions and compensators are examined and corresponding stability and convergence theorems are provided. We then extend our method to nonlinear systems classifi...

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Bibliographic Details
Published in2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton) pp. 1510 - 1516
Main Authors Haghi, P., Ariyur, K. B.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2012
Subjects
Adaptive control
Convergence
Cost function
Equations
Lyapunov methods
Nonlinear systems
Vectors
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Summary:We extend extremum seeking model reference adaptive control (ES-MRAC) to a certain class of first order nonlinear systems. Different cost functions and compensators are examined and corresponding stability and convergence theorems are provided. We then extend our method to nonlinear systems classified as "adaptive integrator backstepping", and provide an ES-MRAC counterpart. Finally, we supply simulation results illustrating the theory developed.
ISBN:9781467345378
1467345377
DOI:10.1109/Allerton.2012.6483398