• Computer Algorithms of Pseudo‐...

*Result*: Computer Algorithms of Pseudo‐Formal Linearization Based on Chebyshev Interpolation for Nonlinear Time‐Varying Systems and a Nonlinear Filter.

Title:
Computer Algorithms of Pseudo‐Formal Linearization Based on Chebyshev Interpolation for Nonlinear Time‐Varying Systems and a Nonlinear Filter.
Authors:
Komatsu, Kazuo1 (AUTHOR) kaz@kumamoto-nct.ac.jp, Takata, Hitoshi2 (AUTHOR)
Source:
IEEJ Transactions on Electrical & Electronic Engineering. Feb2026, Vol. 21 Issue 2, p258-266. 9p.
Subject Terms:
*TIME-varying systems, *CHEBYSHEV approximation, *COMPUTER simulation, *QUASILINEARIZATION, *ADAPTIVE filters, *ALGORITHMS, *KALMAN filtering, *COMPUTATIONAL complexity
Database:
Academic Search Index

*Further Information*

*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. [ABSTRACT FROM AUTHOR]*