Adaptive Behavioral Predictive Control: State-Free Regulation Without Hankel Weights
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911443201294336 |
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| author | Nguyen, Tam W. |
| author_facet | Nguyen, Tam W. |
| contents | This paper presents adaptive behavioral predictive control (ABPC), an indirect adaptive predictive control framework operating on streaming data. An LPV--ARX predictor is identified online via kernel--recursive least squares and used to compute closed-form predictive control sequences over a finite horizon, avoiding batch Hankel constructions and iterative optimization. Nonlinear kernel dictionaries extend model expressiveness within a behavioral formulation. Numerical studies on Hammerstein and NARX systems demonstrate effective performance when the dictionary aligns with the plant class and highlight conditioning and feature-selection effects. The paper emphasizes numerical simulation, computational feasibility, and reproducibility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12016 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Adaptive Behavioral Predictive Control: State-Free Regulation Without Hankel Weights Nguyen, Tam W. Systems and Control This paper presents adaptive behavioral predictive control (ABPC), an indirect adaptive predictive control framework operating on streaming data. An LPV--ARX predictor is identified online via kernel--recursive least squares and used to compute closed-form predictive control sequences over a finite horizon, avoiding batch Hankel constructions and iterative optimization. Nonlinear kernel dictionaries extend model expressiveness within a behavioral formulation. Numerical studies on Hammerstein and NARX systems demonstrate effective performance when the dictionary aligns with the plant class and highlight conditioning and feature-selection effects. The paper emphasizes numerical simulation, computational feasibility, and reproducibility. |
| title | Adaptive Behavioral Predictive Control: State-Free Regulation Without Hankel Weights |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2602.12016 |