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

Karimi, Hamid Reza; Gao, Huijun

doi:10.1007/s12555-009-0306-5

Cited by 30 publications

(18 citation statements)

References 42 publications

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“…The proof is complete. Remark 2: Note that, in the proof of Lemma 1, the Gronwall's inequality is employed to prove the exponential mean-square stability for a time-delay system under the condition (12). Such an approach is different from the conventional ones in the literature, which simplifies the procedure for proving the exponential mean-square stability.…”

Section: ∥G(x(t) S(t))∥ 2 ≤ C1∥e(t)∥mentioning

confidence: 99%

“…Recently, with the ever developing techniques for tackling time delays that frequently occur in various engineering systems (see e.g. [3,8,10,[12][13][14]), an arguably popular approach to dealing with sampled-data control problems, which has been proposed in [8], is to transform the sampling period into a certain time-delay with finite bound. By using such an approach, the sampled-data analysis problem amounts to the corresponding problem for a time delayed system.…”

Section: Introductionmentioning

confidence: 99%

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Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling

Shen

Wang

Liu

2012

IEEE Trans. Automat. Contr.

283

124

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Abstract-This paper is concerned with the sampled-data synchronization control problem for a class of dynamical networks. The sampling period considered here is assumed to be timevarying that switches between two different values in a random way with given probability. The addressed synchronization control problem is first formulated as an exponentially mean-square stabilization problem for a new class of dynamical networks that involve both the multiple probabilistic interval delays (MPIDs) and the sector-bounded nonlinearities (SBNs). Then, a novel Lyapunov functional is constructed to obtain sufficient conditions under which the dynamical network is exponentially mean-square stable. Both Gronwall's inequality and Jenson integral inequality are utilized to substantially simplify the derivation of the main results. Subsequently, a set of sampled-data synchronization controllers is designed in terms of the solution to certain matrix inequalities that can be solved effectively by using available software. Finally, a numerical simulation example is employed to show the effectiveness of the proposed sampled-data synchronization control scheme.

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Section: ∥G(x(t) S(t))∥ 2 ≤ C1∥e(t)∥mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling

Shen

Wang

Liu

2012

IEEE Trans. Automat. Contr.

283

124

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“…In order to obtain delay-dependent results, different methodologies have been developed in the literature [4-6, 10, 19, 20]. Due to the fact that the use of time delays in the feedback loop can eliminate the need for explicitly determining any information about the underlying dynamics other than the period of the desired orbit [11,21], it is important to use the retarded (or delayed) feedback control approach to deal with a practical control problem.…”

Section: Introductionmentioning

confidence: 99%

Passivity-based Control for Markovian Jump Systems via Retarded Output Feedback

Shen

Song

et al. 2011

Circuits Syst Signal Process

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This paper is concerned with the problem of passivity-based control for Markovian jump systems via retarded output feedback controllers. A delaydependent passivity criterion is obtained in terms of linear matrix inequalities. Based on this, a sufficient condition is proposed for the design of a retarded output feedback controller which ensures that the closed-loop system is passive. By using the sequential linear programming matrix method, a desired retarded output feedback controller can be constructed. Numerical examples are provided to demonstrate the advantage and effectiveness of the proposed method.

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“…For complex networks, some important works are [3][4][5][6][7]. Some of these techniques have been developed to synchronize chaotic systems using classic control techniques, e.g., linear feedback [8][9][10], sliding mode control [11] and observed-based synchronization [12].…”

Section: Introductionmentioning

confidence: 99%

Robust synchronization of arrays of Lagrangian systems

Álvarez

Almeida

Hernández

et al. 2010

Int. J. Control Autom. Syst.

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A new technique to synchronize arrays of uncertain, disturbed Lagrangian systems, where the synchronization signals use only the position measurement, is proposed. The technique, robust with respect to some kinds of connection losses and matched disturbances, can be applied to different topologies whose connection matrix is not necessarily symmetric. The design of the coupling signals is based on a discontinuous robust observer that identifies, at the same time, the velocity vector and any matched disturbance containing unknown terms, parameter uncertainty, or unknown external perturbations. This estimated disturbance is incorporated in the coupling signal to compensate the real perturbations, improving significantly the synchronization performance. The technique is illustrated with numerical simulations and some experiments carried on some real systems.

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

Cited by 30 publications

References 42 publications

Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling

Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling

Passivity-based Control for Markovian Jump Systems via Retarded Output Feedback

Robust synchronization of arrays of Lagrangian systems

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