H2(tf) Optimality Conditions for a Finite-time Horizon
H2(tf) Optimality Conditions for a Finite-time Horizon
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DOI：
10.1016/j.automatica.2019.108604
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发表时间：
2019-12
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影响因子：
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通讯作者：
Klajdi Sinani;S. Gugercin
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文献类型：
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作者：
Klajdi Sinani;S. Gugercin
在本文中，我们建立了插值模型降阶框架的MIMO动力系统的最佳逼近的H2范数在有限的时间范围内，表示为H2（t f）范数。利用内积空间，我们得到了在H2（t f）范数下逼近的插值一阶最优性必要条件.然后，我们开发了一个算法，它产生一个局部最优的减少模型，满足建立基于插值的最优性条件。我们测试的算法在各种数值例子来说明其性能。
In this paper we establish the interpolatory model reduction framework for optimal approximation of MIMO dynamical systems with respect to the H 2 norm over a finite-time horizon, denoted as the H 2 (t f) norm. Using the underlying inner product space, we derive the interpolatory first-order necessary optimality conditions for approximation in the H 2 (t f) norm. Then, we develop an algorithm, which yields a locally optimal reduced model that satisfies the established interpolation-based optimality conditions. We test the algorithm on various numerical examples to illustrate its performance.