A descriptor system approach to H/sub ∞/ control of linear time-delay systems

Fridman, Emilia; Shaked, U.

doi:10.1109/9.983353

Cited by 772 publications

(497 citation statements)

References 41 publications

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“…From [12] (p. 185) V 1α is positive definite if the LMI (18) holds. Then the proof follows along the lines of [7] using a descriptor representation [9] and Gu-discretization [11]. It follows that x α converges asymptotically to the solution x α = 0 and consequently, the variable x converges exponentially to the solution x = 0 with the decay rate α.…”

Section: A Exponential Stability Of the Reduced Order Systemmentioning

confidence: 90%

Static Output Feedback Sliding Mode Control Design via an Artificial Stabilizing Delay

Seuret

Edwards

Spurgeon

et al. 2009

IEEE Trans. Automat. Contr.

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Abstract-It is well known that for linear, uncertain systems, a static output feedback sliding mode controller can only be determined if a particular triple associated with the reduced order dynamics in the sliding mode is stabilisable. This paper shows that the static output feedback sliding mode control design problem can be solved for a broader class of systems if a known delay term is deliberately introduced into the switching function. Effectively the reduced order sliding mode dynamics are stabilized by the introduction of this artificial delay.

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Section: A Exponential Stability Of the Reduced Order Systemmentioning

confidence: 90%

Static Output Feedback Sliding Mode Control Design via an Artificial Stabilizing Delay

Seuret

Edwards

Spurgeon

et al. 2009

IEEE Trans. Automat. Contr.

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“…Substituting the terms of )), [44], the matrix P is nonsingular. Then, according to the structure of the matrix P , the matrix …”

Section: Resultsmentioning

confidence: 99%

LMI-based H ∞ synchronization of second-order neutral master-slave systems using delayed output feedback control

Karimi

Gao

2009

Int. J. Control Autom. Syst.

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Abstract:The ∞ H synchronization problem of the master and slave structure of a second-order neutral master-slave systems with time-varying delays is presented in this paper. Delay-dependent sufficient conditions for the design of a delayed output-feedback control are given by LyapunovKrasovskii method in terms of a linear matrix inequality (LMI). A controller, which guarantees ∞ H synchronization of the master and slave structure using some free weighting matrices, is then developed. A numerical example has been given to show the effectiveness of the method. The simulation results illustrate the effectiveness of the proposed methodology.

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“…In the past two decades, many efficient approaches have been given to reduce the conservatism caused by the time delays, such as the bounding technique [85], the descriptor system method [86], the slack matrix variables technique [87] and the delayfractioning approach [88], [89]. Generally speaking, the objective of conducting the delay-dependent analysis includes two aspects (conservatism and complexity): 1) development of the delay-dependent conditions to provide a maximal allowable delay; and 2) development of the delay-dependent conditions by using as few decision variables as possible while achieving the same maximal allowable delay.…”

Section: Communication Delaysmentioning

confidence: 99%

Estimation, filtering and fusion for networked systems with network-induced phenomena: New progress and prospects

et al. 2016

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In this paper, some recent advances on the estimation, filtering and fusion for networked systems are reviewed. Firstly, the network-induced phenomena under consideration are briefly recalled including missing/fading measurements, signal quantization, sensor saturations, communication delays, and randomly occurring incomplete information. Secondly, the developments of the estimation, filtering and fusion for networked systems from four aspects (linear networked systems, nonlinear networked systems, complex networks and sensor networks) are reviewed comprehensively. Subsequently, some recent results on the estimation, filtering and fusion for systems with the network-induced phenomena are reviewed in great detail. In particular, some latest results on the multiobjective filtering problems for time-varying nonlinear networked systems are summarized. Finally, conclusions are given and several possible research directions concerning the estimation, filtering, and fusion for networked systems are highlighted.

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A descriptor system approach to H/sub ∞/ control of linear time-delay systems

Cited by 772 publications

References 41 publications

Static Output Feedback Sliding Mode Control Design via an Artificial Stabilizing Delay

Static Output Feedback Sliding Mode Control Design via an Artificial Stabilizing Delay

LMI-based H ∞ synchronization of second-order neutral master-slave systems using delayed output feedback control

Estimation, filtering and fusion for networked systems with network-induced phenomena: New progress and prospects

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