Details

Autor(en) / Beteiligte

• Jiang, Yao-Lin
• Chen, Chun-Yue
• Yang, Ping

Titel

Balanced truncation with ε-embedding for coupled dynamical systems

Ist Teil von

• IET circuits, devices & systems, 2018-05, Vol.12 (3), p.271-279

Ort / Verlag

The Institution of Engineering and Technology

Erscheinungsjahr

2018

Link zum Volltext

Quelle

Wiley Online Library E-Journals

Beschreibungen/Notizen

• The authors focus on exploring the $\varepsilon $ε-embedding balanced truncation method of coupled systems. First, the coupled system is converted into a closed-loop system. Then, the $\varepsilon $ε-embedding technique and the Cholesky factor-alternating direction implicit algorithm are introduced to establish the balanced truncation method. The error bound and the stability of the resulting reduced-order system are discussed. Furthermore, the proposed method is applied to reduce the order of each subsystem such that the original interconnected structure is preserved. The error bound and the stability of the corresponding reduced-order system are also investigated. Finally, two numerical examples are employed to demonstrate the efficiency of the proposed method.