Observer-Based Realization of Control Systems

Cheng D, Zhang X, Ji Z, Li C (2025)

Publication Type: Journal article

Publication year: 2025

Journal

IEEE Transactions on Automatic Control

DOI: 10.1109/TAC.2025.3604656

Abstract

A novel model reduction framework for large-scale complex systems is proposed by introducing function-type dynamic control systems via the dimension-keeping semi-tensor product (DK-STP) of matrices. Utilizing bridge matrices, the DK-STP facilitates the construction of an approximate observer-based realization (OR) of a linear control system in the form of a function-type control system, where the functions serve as observers. A necessary and sufficient condition is established for the OR-system to admit exact observer dynamics. When an exact OR-system does not exist, an extended OR-system is developed by incorporating the original system's observers into its state. Furthermore, a minimal feedback extended OR-system is constructed, and its relationship to Kalman's minimal realization is analyzed. Finally, the proposed approach is extended to nonlinear control-affine systems.

Authors with CRIS profile

Zhengping Ji Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Academy of Mathematics and System Science, Chinese Academy of Sciences / 中国科学院数学与系统科学研究院 CN China (CN) Hong Kong Polytechnic University (PolyU) CN China (CN) Shandong-University (SDU) CN China (CN)

How to cite

APA:

Cheng, D., Zhang, X., Ji, Z., & Li, C. (2025). Observer-Based Realization of Control Systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/TAC.2025.3604656

MLA:

Cheng, Daizhan, et al. "Observer-Based Realization of Control Systems." IEEE Transactions on Automatic Control (2025).

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