Multivariable Extremum Seeking Control for Dynamic Maps through Sliding Modes and Periodic Switching Function
<|reference_start|>Multivariable Extremum Seeking Control for Dynamic Maps through Sliding Modes and Periodic Switching Function: 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.<|reference_end|>
@article{aminde2024multivariable,
    title={Multivariable Extremum Seeking Control for Dynamic Maps through Sliding
  Modes and Periodic Switching Function},
    author={Nerito Oliveira Aminde, Tiago Roux Oliveira, Liu Hsu},
    journal={arXiv preprint arXiv:2407.20805},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.20805},
    primaryClass={math.OC cs.SY eess.SY}
}