Linear robust control
Frequency response of sampled-data systems
Automatica (Journal of IFAC)
H∞ sampled-data synthesis and related numerical issues
Automatica (Journal of IFAC)
SIAM Journal on Control and Optimization
Survey Invariant representations of discrete-time periodic systems
Automatica (Journal of IFAC)
Technical Communique: Approximation of frequency response for sampled-data control systems
Automatica (Journal of IFAC)
Brief paper: Computing the L2 gain for linear periodic continuous-time systems
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
By the Floquet similarity transformations of finite-dimensional linear continuous-time periodic (FDLCP) systems, the time-domain Hamiltonian test for the H"~ norm is first interpreted in terms of Toeplitz operators of the system matrices. Based on this novel frequency-domain interpretation, implementing the time-domain Hamiltonian test can be accomplished by working on its frequency-domain counterpart via truncations. This gives us a bisection algorithm for evaluating the H"~ norm of a class of FDLCP systems through finite-dimensional linear time-invariant continuous-time models. The finite-dimensional Hamiltonian test is necessary and sufficient in the asymptotic sense, and claimed only via Fourier coefficients of the system matrices without the transition matrix of the FDLCP system concerned. There are numerical examples to illustrate the suggested algorithm.