Remote stabilization over fading channels

Elia, Nicola

doi:10.1016/j.sysconle.2004.08.009

Cited by 504 publications

(427 citation statements)

References 23 publications

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“…It is important to observe that in the case when quantization is absent, the MS stabilizability condition (21) reduces to 2 that is the same as reported in [2]. When the fading channel is absent, the condition (21) reduces to δ −1 > M(A) that is first obtained in [4] under the MLQ method for quantization, and in [13] under the RLQ method for quantization.…”

Section: Theorem 1 the Ncs Inmentioning

confidence: 57%

“…A packet drop model is proposed in [2] which is extended to stochastic multiplicative fading channels [18]. Let v k (t) be the kth component of v(t), which is transmitted over the fading channel.…”

Section: Problem Formulationmentioning

confidence: 99%

“…It is now known that the least number of bits required for the quadratic stabilizability is exactly the topological entropy of the system [19]. On the other hand, packet drop is initially studied in [2,14]. The results available in [3,18] indicate that the fading channel is more general and covers the packet drop as a special case.…”

mentioning

confidence: 99%

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Networked stabilization for multi-input systems over quantized fading channels

Wan

Qiu

2015

Automatica

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This paper studies feedback stabilization for networked control systems (NCSs) over quantized fading channels placed at the plant input, which cover both logarithmic quantization and packet drop in the actuator channel. The notion of mean-square (MS) stability is developed in the input-output setting, and the MS stabilizability is studied for both single-input (SI) and multi-input (MI) systems under state feedback. A necessary and sufficient condition is derived for the MS stabilizability of the NCS over the quantized fading channel by using channel resource allocation. Our result improves the known MS stabilizability condition and complement the existing work in the NCS area.

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Section: Theorem 1 the Ncs Inmentioning

confidence: 57%

Section: Problem Formulationmentioning

confidence: 99%

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Networked stabilization for multi-input systems over quantized fading channels

Wan

Qiu

2015

Automatica

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“…Linear matrix inequality method time-invariant complex dynamical systems feasible [25], [40]- [44] Difference linear matrix inequality method time-varying complex dynamical systems feasible [21], [27], [45], [46] Innovation analysis approach linear time-invariant/time-varying systems optimal [30]- [32], [39], [47], [48] Hamilton-Jacobi-Isaacs inequality approach general nonlinear time-invariant systems feasible [35] Backward Riccati difference equation method nonlinear time-varying systems sub-optimal [37], [49], [50] Forward Riccati difference equation method nonlinear time-varying systems sub-optimal [7], [16], [51]- [54] [49], [56], [57], the N-order Rice fading channel has been modeled by sequences of independent and identically distributed Gaussian random variables with known means and variances, where the multi-path induced fading stemming mainly from multi-path propagation has been considered when dealing with the control and estimation problems for networked systems and the impact from the fading measurements onto the control/estimation performance has been examined.…”

Section: Applications Solutions Referencesmentioning

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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“…Up to now, the stability and state estimation problems for the networked systems with fading measurements have drawn some initial research attention [12]- [17]. On the other hand, most available literature concerning NCSs has assumed the single-rate sampled-data setting for the underlying system.…”

Section: Introductionmentioning

confidence: 99%

Fault detection filter design for networked multi‐rate systems with fading measurements and randomly occurring faults

Yong

Wang

Zou

et al. 2016

IET Control Theory & Applications

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In this paper, the fault detection problem is investigated for a class of networked multi-rate systems (NMSs) with network-induced fading channels and randomly occurring faults. The stochastic characteristics of the fading measurements are governed by mutually independent random channel coefficients over the known interval [0,1]. By applying the lifting technique, the system model for the observer-based fault detection is established. With the aid of the stochastic analysis approach, sufficient conditions are established under which the stochastic stability of the error dynamics for the state estimation is guaranteed and the prescribed H ∞ performance constraint on the error dynamics for the fault estimation is achieved. Based on the established conditions, the addressed fault detection problem of NMSs is recast as a convex optimization one that can be solved via the semi-definite program method, and the explicit expression of the desired fault detection filter is derived by means of the feasibility of certain matrix inequalities. The main results are specialized to the networked single-rate systems that are a special case of the NMSs. Finally, two simulation examples are utilized to illustrate the effectiveness of the proposed fault detection method.

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Remote stabilization over fading channels

Cited by 504 publications

References 23 publications

Networked stabilization for multi-input systems over quantized fading channels

Networked stabilization for multi-input systems over quantized fading channels

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

Fault detection filter design for networked multi‐rate systems with fading measurements and randomly occurring faults

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