Details

Autor(en) / Beteiligte

• Peng, Haijun
• Wu, Zhigang
• Zhong, Wanxie

Titel

H2-norm computation of linear time-varying periodic systems via the periodic Lyapunov differential equation

Ist Teil von

• International journal of control, 2011-12, Vol.84 (10-12), p.2058-2066

Ort / Verlag

Abingdon: Taylor & Francis

Erscheinungsjahr

2011

Quelle

Taylor & Francis Journals Auto-Holdings Collection

Beschreibungen/Notizen

• A new reliable algorithm for computing [image omitted]-norm of linear time-varying periodic (LTP) systems in continuous-time domain is proposed in this article. The solving of [image omitted]-norm is firstly transformed into the solving of the periodic Lyapunov differential equation (PLDE). Then, the key point in this article is that a new method based on the interval mixed energy matrix and the interval transition matrix computed by the structure-preserving Magnus series method is proposed for solving the PLDE. With the solutions of PLDE, the [image omitted]-norm of LTP systems is evaluated by a simple first-order ordinary differential equation. Finally, the effectiveness and the high accuracy of the proposed algorithms are demonstrated by two numerical examples.