H∞ norm computation of continuous-time periodic systems

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