Title :
H∞ norm computation of continuous-time periodic systems
Author :
Zhou, Jun ; Hagiwara, Tomomichi
Author_Institution :
Dept. of Electr. Eng., Kyoto Univ., Japan
Abstract :
The computation of the H∞ norms of a class of finite-dimensional linear continuous-time periodic (FDLCP) systems is discussed. By a staircase truncation on the frequency response operators of FDLCP systems, asymptotic LTI continuous-time models are established, based on which the H∞ norms can be estimated in the asymptotic sense, and thus the Hamiltonian test is recovered in the FDLCP setting. From this asymptotic Hamiltonian test, a modified bisection algorithm is developed for the H∞ norm estimation. It is also considered to implement the algorithm via approximate modeling, which is numerically implementable in most practical FDLCP systems
Keywords :
Fourier series; H∞ control; asymptotic stability; continuous time systems; frequency response; matrix algebra; multidimensional systems; periodic control; H∞ norm computation; H∞ norm estimation; LTI models; approximate modeling; asymptotic Hamiltonian test; asymptotic stability; continuous-time periodic systems; finite-dimensional systems; frequency response operator; modified bisection algorithm; multidimensional systems; staircase truncation; Control system analysis; Convergence; Frequency estimation; Frequency measurement; Frequency response; Large scale integration; System testing; Time factors;
Conference_Titel :
SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers
Conference_Location :
Nagoya
Print_ISBN :
0-7803-7306-5
DOI :
10.1109/SICE.2001.977826
