Title :
Adapting first order nonlinear systems using extremum seeking
Author :
Haghi, Poorya ; Ariyur, Kartik B.
Author_Institution :
Sch. of Mech. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
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.
Keywords :
compensation; model reference adaptive control systems; nonlinear control systems; optimal control; ES-MRAC; adaptive integrator backstepping; compensator; convergence theorem; cost functions; extremum seeking model reference adaptive control; first order nonlinear systems; stability; Adaptive control; Convergence; Cost function; Equations; Lyapunov methods; Nonlinear systems; Vectors;
Conference_Titel :
Communication, Control, and Computing (Allerton), 2012 50th Annual Allerton Conference on
Conference_Location :
Monticello, IL
Print_ISBN :
978-1-4673-4537-8
DOI :
10.1109/Allerton.2012.6483398
