LTI system order reduction approach based on asymptotical equivalence and the Co-operation of biology-related algorithms

5th International Workshop on Mathematical Models and their Applications 2016

Ryzhikov, I.S.^1 ; Semenkin, E.S.^1 ; Akhmedova, Sh A^1

Siberian State Aerospace University, 31 Krasnoyarskiy Rabochiy Ave., Krasnoyarsk

660037, Russia^1

关键词: Initial problem;    Linear time invariant systems;    Model representation;    Optimization algorithms;    Optimization tools;    Order reduction methods;    Reduced order models;    Related algorithms;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/173/1/012014/pdf
DOI  :  10.1088/1757-899X/173/1/012014

来源: IOP

【 摘 要 】

A novel order reduction method for linear time invariant systems is described. The method is based on reducing the initial problem to an optimization one, using the proposed model representation, and solving the problem with an efficient optimization algorithm. The proposed method of determining the model allows all the parameters of the model with lower order to be identified and by definition, provides the model with the required steady-state. As a powerful optimization tool, the meta-heuristic Co-Operation of Biology-Related Algorithms was used. Experimental results proved that the proposed approach outperforms other approaches and that the reduced order model achieves a high level of accuracy.