Dynamic output feedback <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e625" altimg="si514.svg"><mml:msub><mml:mrow><mml:mi mathvariant="script">H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math> design in finite-frequency domain for constrained linear systems

Kazemy, Ali; Gyurkovics, Éva; Takács, Tibor

doi:10.1016/j.isatra.2019.06.005

Cited by 6 publications

(4 citation statements)

References 35 publications

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“…Algorithm 1 Design of the DSOF controller 1. Find matrices K i pq , p = 1, 2, q = 1, … , 4, i = 1, … , L such that the distributed full information controller in (26) can guarantee the well-posedness, stability and the finite-frequency specification in (7) of the interconnected system G . Let 𝛿 be a specified tolerance and set 𝜂 = 1.…”

Section: Computation Of a Initial Controllermentioning

confidence: 99%

“…Thus, it is the main part of the second stage. In next section, we will focus on constructing and optimizing a distributed full information controller given in (26) for Algorithm 1, in other words, the first stage.…”

Section: Computation Of the Dsof Controllermentioning

confidence: 99%

“…Actually, in some real applications, there is no need to consider the system properties and design specifications in the EF range, as many systems may just belong to certain frequency range and the energies of many signals concentrate only in some finite-frequency (FF) ranges [21]. The generalized Kalman-Yakubovich-Popov (GKYP) lemma establishes the equivalence between an infinite number of frequency domain inequalities characterizing the properties of a transfer function in a finite-frequency range and a numerically tractable linear matrix inequality for its state space realization, which enables one to deal with the restricted frequency-domain specifications [22][23][24][25][26][27][28]. Based on the GKYP lemma developed for interconnected systems, a great quantity of results on control synthesis with restricted frequency-domain specifications have been obtained [7,[29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

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Distributed static output feedback control for interconnected systems in finite‐frequency domain

Chen

Wang

2021

IET Control Theory & Appl

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This paper aims at designing a distributed static output feedback (DSOF) controller for the interconnected system in finite-frequency domain. Motivated by the fact that the signal transmitting process is usually affected by surrounding environments, the interconnection communication between subsystems are assumed to be non-ideal. By introducing some dilated multipliers into the extended condition that guarantees the well-posedness, stability and finite-frequency  ∞ performance of non-ideally interconnected systems, a new equivalent condition is derived, which is more effective for parameterizing the DSOF controller. A two-stage approach is then developed for constructing a DSOF controller: design an initial distributed full information (DFI) controller first and then derive a desired DSOF from the DFI controller. Moreover, two iterative linear matrix inequality based algorithms are proposed to improve the solvability of the DFI controller and DSOF controller design problems. Finally, an example is given to show the effectiveness of the proposed two-stage DSOF controller design method. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Computation Of a Initial Controllermentioning

confidence: 99%

Section: Computation Of the Dsof Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Distributed static output feedback control for interconnected systems in finite‐frequency domain

Chen

Wang

2021

IET Control Theory & Appl

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“…On the other hand, the main results in recent reports only consider the noise in full frequency band. However, disturbances may have finite frequency spectrums in practical applications [13].…”

Section: Introductionmentioning

confidence: 99%

Finite‐frequency output feedback MPC for Markov jump systems

Liu

Wen

Luan

et al. 2023

Asian Journal of Control

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This paper investigates a general design framework of dynamic output feedback model predictive control (DOFMPC) for Markov jump systems within both time and frequency domain. Such a design with guaranteed H ∞ and quadratic performance is formulated by a standard semi-definite programming (SDP), and it is achieved by employing a special congruence transformation. The SDP condition greatly reduces the computational effort by eliminating bilinear matrix inequalities or equation constraints reported in existing references. Specifically, the H ∞ norm of the transfer function is optimized within three types of frequency ranges on account of generalized Kalman-Yakubovic-Popov (GKYP) lemma. The quadratic index is optimized online via SDP. Finally, we verify the feasibility and effectiveness of the proposed method from both theoretical and practical point of view.

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Event-triggeredH∞control for networked spar-type floating production platforms with active tuned heave plate mechanisms and deception attacks

Zhang

Cao

Cai

et al. 2021

Journal of the Franklin Institute

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

Abstract: h i g h l i g h t s• Finite-frequency H ∞ control is designed for linear systems via dynamic output feedback.• Practical hard constraints are considered in the design problem.• The proposed method is effectively applied on the model of two practical structures.

Cited by 6 publications

References 35 publications

Distributed static output feedback control for interconnected systems in finite‐frequency domain

Distributed static output feedback control for interconnected systems in finite‐frequency domain

Finite‐frequency output feedback MPC for Markov jump systems

Event-triggeredH∞control for networked spar-type floating production platforms with active tuned heave plate mechanisms and deception attacks

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