Global Optimization of Two-input Systems using Multi-unit Adaptation

Model-free unconstrained real-time optimization can be realized by controlling the gradient to zero. In this paper, the multiunit optimization framework is used where the gradient is estimated using finite difference between two identical units operating with an offset. It has been recently shown that the global optimization is achieved by reducing this offset to zero for scalar nonlinear maps. In this paper, this scheme is extended to the case of two-input systems, by repeating mono-variable global optimization on the circumference of a circle of reducing radius. The theoretical concepts are illustrated on the global optimization of two examples. [email protected] [email protected] [email protected]