Paper Info
Title
A Discretization Approach To The Analysis Of Yet Another H-2 Norm Of Lti Sampled-Data Systems
Abstract
This paper is concerned with linear time-invariant (LTI) sampled-data systems together with their yet another H-2 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 L-2 norms of all the tau-dependent responses for the impulse inputs occurring at the instant tau in the sampling interval [0, h). We first review the closed-form expression of this new H-2 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 H-2 norm of LTI sampled-data systems can be characterized by using the discrete-time H-2 norm. We then reinterpret the closed-form expression of the H-2 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.
Year
Venue
DocType
2017
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC)
Conference
ISSN
Citations 
PageRank 
0743-1546
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Jung Hoon Kim110420.47
Tomomichi Hagiwara228653.12