H2-norm computation for stable linear continuous-time periodic systems

• Autorzy: Lampe B. P. , Obraszo M. , Rosenwasser E. N.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with the H2-norm of finite dimensional linear continuous-time periodic (FDLCP) systems, represented in state space. on basis of general formulae for the H2-norm significantly simpler formulae are derived under the assumption of stability of the system. the proposed method needs to compute the transition matrix on the interval (...) An example is given, where the H2-norm is determined exactly, and the proposed method turns out to be superior to other known methods.

Słowa kluczowe

EN

time-varying systems; periodic motion; Laplace transforms; Green functions; transfer function; norms

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2004
• Tom: Vol. 14, no. 2
• Strony: 147--160
• Opis fizyczny: Bibliogr. poz. 12

Twórcy

autor

Lampe B. P.

• University of Rostock, Department of Electrical Engineering, D-18051 Rostock, Germany

autor

Obraszo M.

• St. Petersburg State University of Ocean Technology, Russia

autor

Rosenwasser E. N.

• St. Petersburg State University of Ocean Technology, Russia

Bibliografia

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• [3] F. R. Gantmacher: The theory of matrices. Chelsea, New York, 1959. 160 B. P. Lampe, M. Obraszov, E. N. Rosenwasser
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• [6] B.P. Lampe and E. N. Rosenwasser: Statistical analysis and H2-norm of finite dimensional linear time-periodic systems. In Proc. IFAC Workshop on Periodic Control Systems, Italy, (2001), 9-14.
• [7] B.P. Lampe and E.N. Rosenwasser: Operational description and statistical analysis of linear periodic systems on the unbounded interval - ∞ < t < ∞. European J. Control, 9(5), (2003), 508-521.
• [8] E.N. Rosenwasser and B.P. Lampe: Computer Controlled Systems – Analysis and Design with Process-orientated models. Springer-Verlag, London Berlin Heidelberg, 2000.
• [9] C. Zhang and J. Zhang: H2 - performance of continuous time periodically varying controllers. Syst. Contr. Lett., 32 (1997), 209-221.
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