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

Ali Kazemy; Éva Gyurkovics; Tibor Takács

doi:10.1016/j.isatra.2019.06.005

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

ISA Trans. 2020 Jan:96:185-194. doi: 10.1016/j.isatra.2019.06.005. Epub 2019 Jun 10.

Authors

Ali Kazemy¹, Éva Gyurkovics², Tibor Takács³

Affiliations

¹ Department of Electrical Engineering, Tafresh University, Tafresh 39518-79611, Iran. Electronic address: kazemy@tafreshu.ac.ir.
² Mathematical Institute, Budapest University of Technology and Economics, 1111 Budapest, 3 Müegyetem rkp., Hungary. Electronic address: gye@math.bme.hu.
³ Corvinus University of Budapest, 1093 Budapest, 8 Fövám tér, Hungary. Electronic address: takacs.tibor@uni-corvinus.hu.

PMID: 31202534
DOI: 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.

Keywords: performance; Dynamic output feedback; Finite-frequency control; gKYP lemma.