Work

Observer-Based Realization of Control Systems

Year: 2025

Type: article

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.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2025.3604656

Authors: Daizhan Cheng, Xiao Zhang, Zhengping Ji, Changxi Li

Institutions: Chinese Academy of Sciences, Academy of Mathematics and Systems Science, Hong Kong Polytechnic University, Friedrich-Alexander-Universität Erlangen-Nürnberg, Shandong University

Language: English

Topic: Control Systems and Identification

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G1503032327, G7202759891