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Optimal modal truncation
Systems & Control Letters ( IF 2.1 ) Pub Date : 2021-08-13 , DOI: 10.1016/j.sysconle.2021.105011 Pierre Vuillemin 1 , Adrien Maillard 2 , Charles Poussot-Vassal 1
中文翻译:
最优模态截断
更新日期:2021-08-15
Systems & Control Letters ( IF 2.1 ) Pub Date : 2021-08-13 , DOI: 10.1016/j.sysconle.2021.105011 Pierre Vuillemin 1 , Adrien Maillard 2 , Charles Poussot-Vassal 1
Affiliation
This paper revisits modal truncation from an optimisation point of view. In particular, the concept of dominant poles is formulated with respect to different system norms as the solution of the associated optimal modal truncation problem. The latter is reformulated as an equivalent convex integer or mixed-integer program. Numerical examples highlight the concept and optimisation approach.
中文翻译:
最优模态截断
本文从优化的角度重新审视模态截断。特别是,主导极点的概念是针对不同的系统规范制定的,作为相关最优模态截断问题的解决方案。后者被重新表述为等效的凸整数或混合整数程序。数值例子突出了概念和优化方法。