Kim, Jung Hoon Hagiwara, Tomomichi 2024-01-20T00:34:21Z 2024-01-20T00:34:21Z 2021-09-04 2017-09 0167-6911 https://pubs.kist.re.kr/handle/201004/122369 This paper considers linear time-invariant (LTI) sampled-data systems and studies their generalized H-2 norms. They are defined as the induced norms from L-2 to L-infinity, in which two types of the L-infinity norm of the output are considered as the temporal supremum magnitude under the spatial infinity-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 H-2 norms with operator-theoretic gridding approximation. This method leads to readily computable upper bounds as well as lower bounds of the generalized H-2 norms, whose gaps tend to 0 at the rate of 1/root 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. (C) 2017 Elsevier B.V. All rights reserved. English ELSEVIER SCIENCE BV LINEAR PERIODIC-SYSTEMS OPERATOR NORMS L-INFINITY H2 APPROXIMATION CONVOLUTION Upper/lower bounds of generalized H-2 norms in sampled-data systems with convergence rate analysis and discretization viewpoint Article 10.1016/j.sysconle.2017.06.008 1 SYSTEMS & CONTROL LETTERS, v.107, pp.28 - 35 SYSTEMS & CONTROL LETTERS 107 28 35 scie scopus 000412037700005 2-s2.0-85026502702 Automation & Control Systems Operations Research & Management Science Automation & Control Systems Operations Research & Management Science Article LINEAR PERIODIC-SYSTEMS OPERATOR NORMS L-INFINITY H2 APPROXIMATION CONVOLUTION Sampled-data systems L-infinity/L-2-induced norm Discretization Gridding Operator-theoretic approach