Abstract
This manuscript proposes a finite-time extremum-seeking control system for a class of unknown nonlinear dynamical systems. A dual-mode approach is considered. The dual-mode control action combines a proportional feedback operating in the time-scale of the system and a slow perturbation-based extremum-seeking gradient descent. The resulting two time-scale extremum seeking control formulation is shown to achieve practical finite-time stability of the system to the optimum equilibrium conditions for the state variables and the input variables. A brief simulation study is presented to demonstrate the effectiveness of the proposed technique.
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