The rational canonical form of the system matrix and the Krylov subspace are used to propose a new projection approach for obtaining simplified models for single input and single output time-invariant linear systems. Using linear transformation, the system matrix is first changed to its rational canonical form. The model is subsequently reduced using both the projection approach and the Krylov subspace approach. The advantage of this strategy is that the reduced system's poles are identical to those of the original system. As a result, when the original system is stable, the smaller system remains stable. This method outperforms the traditional Krylov subspace approach. The simulation results are displayed to demonstrate the approaches' validity and feasibility. The method's efficiency is demonstrated by numerical examples.
Author (s) DetailsZunhai Gao
School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan, 430048, China.
Zhuo Chen
School of Economics and Management, Wuhan Polytechnic University, Wuhan 430048, China.
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