Multivariable extremum seeking control via cyclic search and monitoring function

摘要

This article addresses the design of a multivariable extremum-seeking controller for a class of nonlinear static multi-input systems. A method is proposed based on cyclic search directions and a monitoring function to guarantee the objective function to track an adequate reference trajectory via sliding-mode control. The method allows achieving an arbitrarily small neighborhood of the desired optimal point (extremum) starting from any initial conditions. Simulation results illustrate the significant advantages of the proposed multivariable control strategy in terms of speed of convergence, global convergence and small residual errors.