Multivariable Extremum Seeking Control for Dynamic Maps through Sliding Modes and Periodic Switching Function
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916339559432192 |
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| author | Aminde, Nerito Oliveira Oliveira, Tiago Roux Hsu, Liu |
| author_facet | Aminde, Nerito Oliveira Oliveira, Tiago Roux Hsu, Liu |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_20805 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multivariable Extremum Seeking Control for Dynamic Maps through Sliding Modes and Periodic Switching Function Aminde, Nerito Oliveira Oliveira, Tiago Roux Hsu, Liu Optimization and Control Systems and Control 93B52, 93C40, 93D30 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. |
| title | Multivariable Extremum Seeking Control for Dynamic Maps through Sliding Modes and Periodic Switching Function |
| topic | Optimization and Control Systems and Control 93B52, 93C40, 93D30 |
| url | https://arxiv.org/abs/2407.20805 |