Kim, J.H. Hagiwara, T. 2024-01-12T06:12:48Z 2024-01-12T06:12:48Z 2022-03-07 2017-12 0000-0000 https://pubs.kist.re.kr/handle/201004/79465 This paper is concerned with linear time-invariant (LTI) sampled-data systems together with their yet another H2 norm introduced recently as an alternative to the two well-known definitions. Taking account of the linear periodically time-varying nature of LTI sampled-data systems, this norm is defined as the supremum of the L2 norms of all the t-dependent responses for the impulse inputs occurring at the instant t in the sampling interval We first review the closed-form expression of this new H2 norm derived through the lifted representation of LTI sampled-data systems. We next develop a discretization method of the continuous-time generalized plant, by which the new H2 norm of LTI sampled-data systems can be characterized by using the discrete-time H2 norm. We then reinterpret the closed-form expression of the H2 norm, and derive a computable upper bound together with a lower bound of the norm. We further show that the gap between the upper and lower bounds converges to 0 at the rate of 1/N, where N is the gridding approximation parameter. Finally, a numerical example is given to demonstrate the effectiveness of the computation method. ？ 2017 IEEE. English Institute of Electrical and Electronics Engineers Inc. A discretization approach to the analysis of yet another H2 norm of LTI sampled-data systems Conference 10.1109/CDC.2017.8264187 1 56th IEEE Annual Conference on Decision and Control, CDC 2017, pp.3594 - 3599 56th IEEE Annual Conference on Decision and Control, CDC 2017 3594 3599 US Melbourne, VIC 2017-12-12 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017 2-s2.0-85046146901