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Multivariable Extremum Seeking Control for Dynamic Maps through Sliding Modes and Periodic Switching Function (2407.20805v1)

Published 30 Jul 2024 in math.OC, cs.SY, and eess.SY

Abstract: This paper presents the design of an extremum seeking controller based on sliding modes and cyclic search for real-time optimization of non-linear multivariable dynamic systems. These systems have arbitrary relative degree, compensated by the technique of time-scaling. The resulting approach guarantees global convergence of the system output to a small neighborhood of the optimum point. To corroborate with the theoretical results, numerical simulations are presented considering a system with two inputs and one output, which rapidly converges to the optimal parameters of the objective function.

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