Frequency Response Analysis for Reset Control Systems: Application to Predict Precision of Motion Systems
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866910718995988480 |
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| author | Zhang, Xinxin Kaczmarek, Marcin B HosseinNia, S. Hassan |
| author_facet | Zhang, Xinxin Kaczmarek, Marcin B HosseinNia, S. Hassan |
| contents | The frequency response analysis describes the steady-state responses of a system to sinusoidal inputs at different frequencies, providing control engineers with an effective tool for designing control systems in the frequency domain. However, conducting this analysis for closed-loop reset systems is challenging due to system nonlinearity. This paper addresses this challenge through two key contributions. First, it introduces novel analysis methods for both open-loop and closed-loop reset control systems at steady states. These methods decompose the frequency responses of reset systems into base-linear and nonlinear components. Second, building upon this analysis, the paper develops closed-loop higher-order sinusoidal-input describing functions for reset control systems at steady states. These functions facilitate the analysis of frequency-domain properties, establish a connection between open-loop and closed-loop analysis, and enable the prediction of time-domain performance for reset systems. The accuracy and effectiveness of the proposed methods are successfully validated through simulations and experiments conducted on a reset Proportional-Integral-Derivative (PID) controlled precision motion system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_00523 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Frequency Response Analysis for Reset Control Systems: Application to Predict Precision of Motion Systems Zhang, Xinxin Kaczmarek, Marcin B HosseinNia, S. Hassan Systems and Control 93C10, 93C80, 93A30 The frequency response analysis describes the steady-state responses of a system to sinusoidal inputs at different frequencies, providing control engineers with an effective tool for designing control systems in the frequency domain. However, conducting this analysis for closed-loop reset systems is challenging due to system nonlinearity. This paper addresses this challenge through two key contributions. First, it introduces novel analysis methods for both open-loop and closed-loop reset control systems at steady states. These methods decompose the frequency responses of reset systems into base-linear and nonlinear components. Second, building upon this analysis, the paper develops closed-loop higher-order sinusoidal-input describing functions for reset control systems at steady states. These functions facilitate the analysis of frequency-domain properties, establish a connection between open-loop and closed-loop analysis, and enable the prediction of time-domain performance for reset systems. The accuracy and effectiveness of the proposed methods are successfully validated through simulations and experiments conducted on a reset Proportional-Integral-Derivative (PID) controlled precision motion system. |
| title | Frequency Response Analysis for Reset Control Systems: Application to Predict Precision of Motion Systems |
| topic | Systems and Control 93C10, 93C80, 93A30 |
| url | https://arxiv.org/abs/2206.00523 |