Dissipativity enforcement of linear discrete-time systems via LMI-based optimization
Xin Du, Chao Wang, Xunlin Zhu, Yan Peng · 2013
This paper introduces a new LMI-based approach to dissipativity enforcement for finite frequency linear discrete-time system. Different from the conventional entire-frequency H∞, approximation performance specification, finite-frequency H∞norm was adopted in this paper, which is a more suitable index to characterize the dissipativity enforcement problems for systems with apriori known operating frequency range.Based on the Generalized KYP (GKYP) Lemma, dissipativity enforcement problems are derived and expressed in terms of solutions to a set of linear matrix inequalities (LMIs). Numerical example was included for illustration.