Optimal LQG control over continuous fading channels

Leong, Alex S.; Dey, Subhrakanti; Anand, J. Vijay

doi:10.3182/20110828-6-it-1002.01294

Cited by 11 publications

(8 citation statements)

References 18 publications

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“…Based on such a fact, by employing some stochastic variables with nonzero mathematical expectations, a memoryless multiplicative channel model has been developed. Such a model can describe the commonly used channels such as Rayleigh and Nakagami channels [43]. Some representative works are shown here.…”

Section: Performance Analysis With Fading Measurementsmentioning

confidence: 99%

Performance Analysis with Network-Enhanced Complexities: On Fading Measurements, Event-Triggered Mechanisms, and Cyber Attacks

Ding

Wang

Dong

et al. 2014

Abstract and Applied Analysis

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Nowadays, the real-world systems are usually subject to various complexities such as parameter uncertainties, time-delays, and nonlinear disturbances. For networked systems, especially large-scale systems such as multiagent systems and systems over sensor networks, the complexities are inevitably enhanced in terms of their degrees or intensities because of the usage of the communication networks. Therefore, it would be interesting to (1) examine how this kind of network-enhanced complexities affects the control or filtering performance; and (2) develop some suitable approaches for controller/filter design problems. In this paper, we aim to survey some recent advances on the performance analysis and synthesis with three sorts of fashionable network-enhanced complexities, namely, fading measurements, event-triggered mechanisms, and attack behaviors of adversaries. First, these three kinds of complexities are introduced in detail according to their engineering backgrounds, dynamical characteristic, and modelling techniques. Then, the developments of the performance analysis and synthesis issues for various networked systems are systematically reviewed. Furthermore, some challenges are illustrated by using a thorough literature review and some possible future research directions are highlighted.

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Section: Performance Analysis With Fading Measurementsmentioning

confidence: 99%

Performance Analysis with Network-Enhanced Complexities: On Fading Measurements, Event-Triggered Mechanisms, and Cyber Attacks

Ding

Wang

Dong

et al. 2014

Abstract and Applied Analysis

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“…Since the fading phenomenon can seriously degrade the signal quality, an issue of crucial importance is how to design a control system whose performance is insensitive to the effects caused by the fading channels. Very recently, the networked control systems with fading channels have received particular research attention and some preliminary results have been reported in [5], [7], [12], [16] for stability analysis, LQG control and Kalman filter problems.…”

Section: Introductionmentioning

confidence: 99%

Finite-Horizon ${\cal H}_{\infty}$ Control for Discrete Time-Varying Systems With Randomly Occurring Nonlinearities and Fading Measurements

Ding

Wang

Lam

et al. 2015

IEEE Trans. Automat. Contr.

157

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Abstract-This paper deals with the H∞ control problem for a class of discrete time-varying nonlinear systems with both randomly occurring nonlinearities and fading measurements over a finite-horizon. The system measurements are transmitted through fading channels described by a modified stochastic Rice fading model. The purpose of the addressed problem is to design a set of time-varying controllers such that, in the presence of channel fading and randomly occurring nonlinearities, the H∞ performance is guaranteed over a given finite-horizon. The model transformation technique is first employed to simplify the addressed problem, and then the stochastic analysis in combination with the completing squares method are carried out to obtain necessary and sufficient conditions of an auxiliary index which is closely related to the finite-horizon H∞ performance. Moreover, the time-varying controller parameters are characterized via solving coupled backward recursive Riccati difference equations (RDEs). A simulation example is utilized to illustrate the usefulness of the proposed controller design scheme.

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“…The work [20] studies Linear quadratic Gaussian (LQG) control problems in two scenarios. In the first scenario, perfect (and instantaneous) channel state information is assumed to be available at the controller.…”

Section: Introductionmentioning

confidence: 99%

“…In the first scenario, perfect (and instantaneous) channel state information is assumed to be available at the controller. For this case, it is shown in [20] that separation and certainty equivalence hold, and both finite and infinite horizon optimal control policies are derived. These results are interesting, but stated in terms of a non‐trivial fixed point equation.…”

Section: Introductionmentioning

confidence: 99%

Performance limits in the control of single‐input linear time‐invariant plants over fading channels

Maass¹,

Silva²

2014

IET Control Theory & Applications

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Optimal LQG control over continuous fading channels

Cited by 11 publications

References 18 publications

Performance Analysis with Network-Enhanced Complexities: On Fading Measurements, Event-Triggered Mechanisms, and Cyber Attacks

Performance Analysis with Network-Enhanced Complexities: On Fading Measurements, Event-Triggered Mechanisms, and Cyber Attacks

Finite-Horizon ${\cal H}_{\infty}$ Control for Discrete Time-Varying Systems With Randomly Occurring Nonlinearities and Fading Measurements

Performance limits in the control of single‐input linear time‐invariant plants over fading channels

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