Data-driven System Interconnections and a Novel Data-enabled Internal Model Control
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866907784372551680 |
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| author | Pedari, Yasaman Lee, Jaeho Eun, Yongsoon Ossareh, Hamid |
| author_facet | Pedari, Yasaman Lee, Jaeho Eun, Yongsoon Ossareh, Hamid |
| contents | Over the past two decades, there has been a growing interest in control systems research to transition from model-based methods to data-driven approaches. In this study, we aim to bridge a divide between conventional model-based control and emerging data-driven paradigms grounded in Willem's fundamental lemma. Specifically, we study how input/output data from two separate systems can be manipulated to represent the behavior of interconnected systems, either connected in series or through feedback. Using these results, this paper introduces the Internal Behavior Control (IBC), a new control strategy based on the well-known Internal Model Control (IMC) but viewed under the lens of Behavioral System Theory. Similar to IMC, the IBC is easy to tune and results in perfect tracking and disturbance rejection but, unlike IMC, does not require a parametric model of the dynamics. We present two approaches for IBC implementation: a component-by-component one and a unified one. We compare the two approaches in terms of filter design, computations, and memory requirements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12696 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Data-driven System Interconnections and a Novel Data-enabled Internal Model Control Pedari, Yasaman Lee, Jaeho Eun, Yongsoon Ossareh, Hamid Systems and Control 14J60 (Primary) 14F05, 14J26 (Secondary) Over the past two decades, there has been a growing interest in control systems research to transition from model-based methods to data-driven approaches. In this study, we aim to bridge a divide between conventional model-based control and emerging data-driven paradigms grounded in Willem's fundamental lemma. Specifically, we study how input/output data from two separate systems can be manipulated to represent the behavior of interconnected systems, either connected in series or through feedback. Using these results, this paper introduces the Internal Behavior Control (IBC), a new control strategy based on the well-known Internal Model Control (IMC) but viewed under the lens of Behavioral System Theory. Similar to IMC, the IBC is easy to tune and results in perfect tracking and disturbance rejection but, unlike IMC, does not require a parametric model of the dynamics. We present two approaches for IBC implementation: a component-by-component one and a unified one. We compare the two approaches in terms of filter design, computations, and memory requirements. |
| title | Data-driven System Interconnections and a Novel Data-enabled Internal Model Control |
| topic | Systems and Control 14J60 (Primary) 14F05, 14J26 (Secondary) |
| url | https://arxiv.org/abs/2311.12696 |