A Gramian matrix approach to synthesizing finite-frequency H2 controller

Hongzheng Quan, Xiujuan Lu, Chenxiao Cai, Yun Zou and James Lam

Applied Mathematics and Computation, 2024, vol. 481, issue C

Abstract: This paper studies the H2 control problem for linear continuous-time systems over a finite-frequency range. Using the finite-frequency Gramian matrix approach, a necessary and sufficient condition is obtained for the characterization of the finite-frequency H2 performance of a Hurwitz stability system. With such a characterization, a sufficient condition for the solvability of the finite-frequency H2 control problem is derived. An iterative algorithm is then constructed to solve the corresponding controller gain numerically. Finally, a numerical example of a two-cart-one-spring system is given to illustrate the effectiveness of the proposed scheme.

Keywords: Continuous-time system; Finite-frequency; Gramian matrix; H2 control (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:481:y:2024:i:c:s0096300324003850

DOI: 10.1016/j.amc.2024.128924

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