Title :
Approximate computation of H2 norm for linear periodic systems based on integral equation method
Author :
Lampe, B.P. ; Rosenwasser, E.N. ; Chernyaev, M.G.
Abstract :
The paper considers the approximate computation of the H2 norm for linear systems with periodically varying parameters, based on applying the parametric transfer function concept, and the theory of Fredholm integral equations of the second kind. This approach allows to achieve approximate formulae for the H2 norm expressed by the transfer function coefficients of the stationary system part, and by the Fourier coefficients of the periodic gain. An example is provided.
Keywords :
Hinfin control; integral equations; linear systems; sampled data systems; time-varying systems; Fourier coefficients; Fredholm integral equation method; H2 norm; linear periodic systems; linear systems; parametric transfer function concept; sampled-data control; Control systems; Fourier series; Hydrogen; Integral equations; Linear systems; Polynomials; Process control; Stochastic processes; Transfer functions; White noise; Approximate formulae; Integral equations; Periodic process; Sampled-data control; Stochastic disturbances;
Conference_Titel :
EUROCON 2009, EUROCON '09. IEEE
Conference_Location :
St.-Petersburg
Print_ISBN :
978-1-4244-3860-0
Electronic_ISBN :
978-1-4244-3861-7
DOI :
10.1109/EURCON.2009.5167744
