H∞ norm computation of continuous-time periodic systems -: Asymptotic Hamiltonian test and modified bisection algorithm

this paper, 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.