Decentralized H∞ Controller Design for Descriptor Systems

Zhai, Guisheng; Koyama, Naoki; Yoshida, Masaharu

doi:10.1016/s1474-6670(17)31628-2

Cited by 4 publications

(2 citation statements)

References 15 publications

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“…Research on decentralized control of descriptor systems has received considerable interest in the past few years. By using LMI techniques, a decentralized H ∞ control for a multichannel descriptor system was introduced in [28]. In [29], LMI conditions were developed for decentralized H ∞ control of multi-channel descriptor systems with time-delays in states.…”

Section: Introductionmentioning

confidence: 99%

A Decentralized Markovian Jump ${\cal H}_{\infty}$ Control Routing Strategy for Mobile Multi-Agent Networked Systems

Abdollahi

Khorasani

2011

IEEE Trans. Contr. Syst. Technol.

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This paper presents a Markovian jump linear (MJL) system framework for developing routing algorithms in mobile ad hoc networks (MANETs) that encounter changes in the number of nodes and/or the number of destinations. A unified H∞ control strategy is proposed by representing the dynamically changing destination nodes as singular switching control systems. A decentralized routing scheme is proposed and designed for the networked multi-agent system in presence of unknown time-varying delays. To solve the corresponding optimization problem the physical constraints are expressed as Linear Matrix Inequality (LMI) conditions. The resulting decentralized H∞ routing control schemes for both regular and singular MJL systems are shown to formally achieve the desired performance specifications and requirements. Simulation results are presented to illustrate and demonstrate the effectiveness of our proposed novel routing control strategies.

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Section: Introductionmentioning

confidence: 99%

A Decentralized Markovian Jump ${\cal H}_{\infty}$ Control Routing Strategy for Mobile Multi-Agent Networked Systems

Abdollahi

Khorasani

2011

IEEE Trans. Contr. Syst. Technol.

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“…Zhai, et al studied decentralized H ∞ control problem for multichannel descriptor systems and proposed strict LMI conditions for designing low order decentralized controller [10]. Zhai, et al also extended the results in [10] to decentralized H 2 controller design for descriptor systems by linear matrix inequalities [11]. Chen, et al studied the decentralized H ∞ control problem of muti-channel descriptor systems with uncertainties [12].…”

Section: Introductionmentioning

confidence: 99%

Robust decentralized H<sub>∞</sub> control of multi-channel uncertain descriptor systems with time-delay

Chen

Zhai

Gui

2007

2007 IEEE International Conference on Control Applications

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This paper considers a robust decentralized H ∞ control problem for uncertain multi-channel descriptor systems with time-delay. The uncertainties are assumed to be time invariant, norm-bounded, and exist in the system, time-delay and output matrices. Our interest is focused on dynamic output feedback. A sufficient condition for the uncertain multi-channel time-delay system to be admissible with a specified disturbance attenuation level is derived based on the theorem of Lyapunov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem is reduced to linear matrix inequalities which are sufficient to the existence condition but much more tractable. An example is given to show the efficiency of this method.

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Robust decentralized H<inf>∞</inf> control of multi-channel discrete-time descriptor systems with time-delays

Chen

Gui

Xie

et al. 2007

2007 46th IEEE Conference on Decision and Control

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Decentralized H∞ Controller Design for Descriptor Systems

Cited by 4 publications

References 15 publications

A Decentralized Markovian Jump ${\cal H}_{\infty}$ Control Routing Strategy for Mobile Multi-Agent Networked Systems

A Decentralized Markovian Jump ${\cal H}_{\infty}$ Control Routing Strategy for Mobile Multi-Agent Networked Systems

Robust decentralized H<sub>∞</sub> control of multi-channel uncertain descriptor systems with time-delay

Robust decentralized H<inf>∞</inf> control of multi-channel discrete-time descriptor systems with time-delays

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Decentralized H∞ Controller Design for Descriptor Systems

Cited by 4 publications

References 15 publications

A Decentralized Markovian Jump ${\cal H}_{\infty}$ Control Routing Strategy for Mobile Multi-Agent Networked Systems

A Decentralized Markovian Jump ${\cal H}_{\infty}$ Control Routing Strategy for Mobile Multi-Agent Networked Systems

Robust decentralized H<sub>&#x0221E;</sub> control of multi-channel uncertain descriptor systems with time-delay

Robust decentralized H<inf>&#x221E;</inf> control of multi-channel discrete-time descriptor systems with time-delays

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Robust decentralized H<sub>∞</sub> control of multi-channel uncertain descriptor systems with time-delay

Robust decentralized H<inf>∞</inf> control of multi-channel discrete-time descriptor systems with time-delays