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Observer-Based Realization of Control Systems
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DOI：10.1109/TAC.2025.3604656.png)
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摘要
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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.
Keyword:
Cross-dimensional projection
model reduction
semi-tensor product (STP) of matrices
state-observer (SO) systems
system realization
期刊
IF:
7
论文数:
1.3W
被引数:
6.7W
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