Performance limitations for single-input LTI plants controlled over SNR constrained channels with feedback

Silva, Eduardo I.; Pulgar, Sebastián A.

doi:10.1016/j.automatica.2012.11.037

Cited by 39 publications

(16 citation statements)

References 35 publications

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“…From a theoretical perspective, we have witnessed the convergence of control theory, communication theory and information theory which have obtained remarkable and interesting results in terms of the ultimate performance limitations which take into account both the dynamical systems characteristic, typically their unstable eigenvalues and non-minimum phase zeros, and the channel characteristic, typically its capacity [1], [2], [3], [4], [5], [6], [7], [8], [9], [10].…”

Section: Introductionmentioning

confidence: 99%

Linear encoder-decoder-controller design over channels with packet loss and quantization noise

Dey¹,

Chiuso²,

Schenato³

2015

2015 European Control Conference (ECC)

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In this paper we consider the problem of designing coding and decoding schemes for linear control design of a scalar unstable stochastic linear system in the presence of a wireless communication channel between the sensor and the estimator. In particular, we consider a communication channel which is prone to packet loss and includes quantization noise due to its limited capacity. We first study the case of perfect channel feedback, where the transmitter is aware of the quantization noise and the packet loss history of the channel. We show that in this case, the optimal strategy among all possible linear encoders corresponds to the transmission of the Kalman filter innovation (the difference between the filtered state estimate at the transmitter and the predicted state estimate at the receiver) similarly to the differential pulse-code modulation (DPCM). Although the critical Signalto-Quantization Noise Ratio (SQNR) required for stabilizing the system is the same for innovation forwarding as well as measurement forwarding at the transmitter, the latter is strictly suboptimal in terms of control performance. For the case of imperfect feedback, we assume that the channel feedback or acknowledgement is randomly lost with a certain erasure probability, rendering the transmitter ignorant of the control action taken by the receiver and subsequently applied to the plant. We propose several heuristic strategies for a suboptimal Kalman filter design at the transmitter based on estimation of the channel feedback status and compare their performances via numerical simulation studies.

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Section: Introductionmentioning

confidence: 99%

Linear encoder-decoder-controller design over channels with packet loss and quantization noise

Dey¹,

Chiuso²,

Schenato³

2015

2015 European Control Conference (ECC)

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“…[12] discusses a lower bound on the achievable performance in a finite time and shows that this bound can be achieved by using linear strategies. [33] studies the control problems for discrete-time single-input linear time-invariant plants over a signal-to-noise ratio constrained channel. In [10], by presenting the performance index constructed by tracking error energy, the authors investigate the optimal tracking of the NCSs with the down-link AWGN network channels.…”

Section: Introductionmentioning

confidence: 99%

Optimal tracking performance of control systems with two-channel constraints

Chen

Guan

et al. 2016

Information Sciences

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This paper focuses on the tracking performance limitation for a class of networked control systems(NCSs) with two-channel constraints. In communication channels, we consider bandwidth, energy constraints and additive colored Gaussian noise(ACGN) simultaneously. In plant, non-minimal zeros and unstable poles are considered; multi-repeated zeros and poles are also applicable. To obtain the optimal performance, the two-parameter controller is adopted. The theoretical results show that the optimal tracking performance is influenced by the non-minimum phase zeros, unstable poles, gain at all frequencies of the given plant, and the reference input signal for NCSs. Moreover, the performance limitation is also affected by the limited bandwidth, additive colored Gaussian noise, and the corresponding multiples for the non-minimum phase zeros and unstable poles. Additionally, the channel minimal input power constraints are given under the condition ensuring the stability of the system and acquiring system performance limitation. Finally, simulation examples are given to illustrate the theoretical results.

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“…The case of SNR constrained channels and SISO plant models has been addressed by us in the preliminary publication [28]. Related results are presented in [29], where SNR‐constrained architectures for single‐input–multiple‐output (SIMO) plants with channel feedback are studied.…”

Section: Introductionmentioning

confidence: 99%

“…As a secondary contribution, this paper extends the SNR approach to NCS proposed in [17] to the fading channel case. Such framework has already been successfully employed to address control problems subject to average data‐rate constraints, data‐dropouts and combinations thereof in [11, 29, 31].…”

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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Performance limitations for single-input LTI plants controlled over SNR constrained channels with feedback

Cited by 39 publications

References 35 publications

Linear encoder-decoder-controller design over channels with packet loss and quantization noise

Linear encoder-decoder-controller design over channels with packet loss and quantization noise

Optimal tracking performance of control systems with two-channel constraints

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

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