TY - JOUR
AU - 김정훈
AU - Tomomichi Hagiwara
DA - 2017/09
UR - https://pubs.kist.re.kr/handle/201004/66353
AB - This paper considers linear time-invariant (LTI) sampled-data systems and studies their generalized H2 norms. They are defined as the induced norms from L2 to L∞, in which two types of the L∞ norm of the output are considered as the temporal supremum magnitude under the spatial ∞-norm and 2-norm. The input/output relation of sampled-data systems is first formulated under their lifting-based treatment. We then develop a method for computing the generalized H2 norms with operator-theoretic gridding approximation. This method leads to readily computable upper bounds as well as lower bounds of the generalized H2 norms, whose gaps tend to 0 at the rate of 1∕
AB - N with the gridding approximation parameter N. An approximately equivalent discretization method of the generalized plant is further provided as a fundamental step to addressing the controller synthesis problem of minimizing the generalized H2 norms of sampled-data systems. Finally, a numerical example is given to show the effectiveness of the computation method.
PB - Systems & control letters
KW - hybrid systems
KW - sampled-data systems
KW - disturbance rejection
KW - H2 norm
KW - Discretization
KW - Gridding
KW - Operator-theoretic approach
TI - Upper/lower bounds of generalized H-2 norms in sampled-data systems with convergence rate analysis and discretization viewpoint
ER -