Global Output-Feedback Extremum Seeking Control for Nonlinear Systems with Arbitrary Relative Degree

Abstract An output-feedback sliding mode based extremum seeking controller was recently introduced for linear uncertain systems by using periodic switching functions. Nonlinear systems were also considered but restricted to relative degree one plants as well as the former linear case. Here, generalization is achieved to include more general dynamics with arbitrary relative degree. Global stability properties of the closed-loop system with convergence to a controlled neighborhood of the desired maximum point are also rigorously proved. Simulation results illustrate the performance of the proposed extremum seeking control algorithm.

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