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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.