Computer Algorithms of Pseudo‐Formal Linearization Based on Chebyshev Interpolation for Nonlinear Time‐Varying Systems and a Nonlinear Filter
In this paper, we design algorithms of a linearization and a nonlinear filter for time‐varying systems using a pseudo‐formal linearization based on Chebyshev interpolation. Presented algorithms make it easy to linearize nonlinear time‐varying systems and to synthesize a nonlinear filter. They can al...
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| Published in: | IEEJ transactions on electrical and electronic engineering |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
29.07.2025
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| ISSN: | 1931-4973, 1931-4981 |
| Online Access: | Get full text |
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| Summary: | In this paper, we design algorithms of a linearization and a nonlinear filter for time‐varying systems using a pseudo‐formal linearization based on Chebyshev interpolation. Presented algorithms make it easy to linearize nonlinear time‐varying systems and to synthesize a nonlinear filter. They can also reduce the computational burden in both linearization and estimation processes by exploiting Chebyshev interpolation. This algorithm applies a Kalman filter to each linearized system, which is obtained in a some subdomain by using pseudo‐formal linearization, to construct a nonlinear filter that is valid for the entire domain. We demonstrate the effectiveness of algorithms through demonstrating numerical experiments with linearizations and a nonlinear filter of an academic bioreactor. © 2025 Institute of Electrical Engineers of Japan and Wiley Periodicals LLC. |
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| ISSN: | 1931-4973 1931-4981 |
| DOI: | 10.1002/tee.70112 |