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Dynamic output feedback H ∞ design in finite-frequency domain for constrained linear systems

Kazemy, Ali and Gyurkovics, Éva and Takács, Tibor (2020) Dynamic output feedback H ∞ design in finite-frequency domain for constrained linear systems. ISA Transactions, 96 . pp. 185-194. DOI http://doi.org/10.1016/j.isatra.2019.06.005

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Official URL: http://doi.org/10.1016/j.isatra.2019.06.005


Abstract

This paper deals with the design problem of H∞ control for linear systems in finite-frequency (FF) domain. Accordingly, the H∞ norm from the exogenous disturbance to the controlled output is reduced in a given frequency range with utilizing the generalized Kalman–Yakubovic–Popov (gKYP) lemma. As some of the states are hard or impossible to measure in many applications, a dynamic output feedback controller is proposed. In order to meet practical requirements that express the limitations of the physical system and the actuator, these time-domain hard constraints are taken into account in the controller design. An algorithm terminating in finitely many steps is given to determine the dynamic output feedback with suboptimal FF H∞ norm bound. The algorithm consists of solving a series of linear matrix inequalities (LMIs). Finally, two case studies are given to demonstrate the effectiveness and advantageous of the proposed method.

Item Type:Article
Subjects:Mathematics, Econometrics
DOI:http://doi.org/10.1016/j.isatra.2019.06.005
ID Code:6141
Deposited By: MTMT SWORD
Deposited On:04 Dec 2020 15:48
Last Modified:10 Dec 2020 15:42

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