Harmonic Hamiltonian test for the H/sub ∞/ performance in linear continuous-time periodic systems
Jun Zhou, Tomomichi Hagiwara, Manabu Araki · 2004
Using spectra and Fourier analyses in finite-dimensional linear continuous-time periodic (FDLCP) systems, a Hamiltonian test is derived for the H/sub /spl infin// performance. Furthermore, by staircase truncation and the 2-regularized determinant of Hubert-Schmidt operators, a finite-dimensional version of the test is also developed, which lays the foundation for claiming a modified bisection algorithm to estimate the H/sub /spl infin// norm of the FDLCP system via finite-dimensional LTI continuous-time models. The finite-dimensional Hamiltonian test is necessary, and claimed only via Fourier analysis of system matrices without the transition matrix of the FDLCP system.