Journal:IEEE Transactions on Circuits and Systems I: Regular Papers
Abstract:This paper studies an H∞ model reduction problem for interval frequency negative imaginary (IFNI) systems. For a given IFNI system, our goal is to find a reduced-order IFNI system satisfying a pre-specified H∞ approximation error bound over the finite-frequency interval. Necessary and sufficient conditions in terms of matrix inequalities are derived for the existence and construction of an H infinity reduced-order IFNI system. An improved iterative algorithm is provided to solve the matrix inequalities and to minimize the H∞ approximation error. The proposed method is further clarified via the application to the electrical circuits, such as high-order Sallen–Key low-pass filter, piezoelectric tube scanner, and RLC circuit. The simulation results on these electrical circuits are compared with the finitefrequency interval Gramians-based model reduction method both in the frequency domain and time domain.
First Author:余兰林
Indexed by:Journal paper
Correspondence Author:熊军林
Translation or Not:no
Date of Publication:2019-03-20
Included Journals:SCI