Signal-to-Noise Ratio Fundamental Limitations in Continuous-Time Linear Output Feedback Control

Rojas, Alejandro J.

doi:10.1109/tac.2009.2022114

Cited by 10 publications

(9 citation statements)

References 27 publications

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“…The expression in (3) extends the result in (Rojas, 2009b, Theorem 4) for a memoryless AWGN channel (see (Rojas, 2009b) for more details) in two directions: first it explicitly develops the derivative left implicit in (Rojas, 2009b) and second it clarifies the impact of the plant time delay τ on the infimal SNR, this time through the residue factors r i,l .…”

Section: Infimal Snr For Stabilizabilitymentioning

confidence: 56%

“…Our first contribution in this paper is to present the infimal SNR required for output feedback stabilizability of a plant with time delay, repeated unstable poles and NMP zeros over an AWGN channel. This result differs from (Rojas, 2009b, Theorem 4) in that we explicitly solve the Laplace variable derivative left stated in (Rojas, 2009b). This simple fact allow us to investigate in more depth the implications stemming from the closed-form infimal SNR solution as shown by our other results reported here.…”

Section: Introductionmentioning

confidence: 75%

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Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels

Rojas

2012

Sba Controle & Automação

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In the present paper we obtain the infimal signal-to-noise ratio (SNR) required for the stabilizability of a linear output feedback loop over an additive white Gaussian noise (AWGN) channel in closed-form. The focus on AWGN channels allow us to then define the minimal channel capacity required for stabilizability. Finally, the infimal SNR for stabilizability also allow us to identify in closed-form the related stabilizing Hermitian positive semidefinite solution to the continuous-time algebraic Riccati equation of LQ control with vanishing state weight and repeated eigenvalues.

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Section: Infimal Snr For Stabilizabilitymentioning

confidence: 56%

Section: Introductionmentioning

confidence: 75%

Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels

Rojas

2012

Sba Controle & Automação

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“…Owning to the advantages of the NCSs over the traditional real-time control systems in information processing and decision-making, control and optimization of NCSs are rapidly developed and broadly applied [7,9,17,18,19,34]. However, system performance could be deteriorated, even leading to instability of the control plants, due to the limitations of the channel bandwidth [13,30], channel capacity [4,12,30], delays [37,28], quantization [1,28], congestions [11] and packet loss [5,23,27] and fault [36] in the communication channels of NCSs. Therefore, the analysis and design of NCSs are difficult and challenging.…”

Section: Introductionmentioning

confidence: 99%

“…It is noted that those results above provide useful guidelines in the design of NCSs, including the design of communication channels. However, it is shown in [10,13,22,30] that in order to obtain the optimal tracking performance, only up-link or down-link channel model is considered in the communication channel, while two-channel is often encountered in practice. In fact, there are two cases.…”

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 paper [12], the optimal tracking performance of MIMO networked control systems over an additive white Gaussian noise (AWGN) channel is investigated. Bandwidth constraints were considered in [13]. It studied the fundamental limitation on stability that arises when an additive coloured Gaussian noise channel is explicitly considered over either the control or measurement paths of a linear time invariant feedback loop.…”

Section: Introductionmentioning

confidence: 99%

Optimal tracking performance of MIMO networked control systems with communication constraints

Chen

Chi

Guan

et al. 2014

The 26th Chinese Control and Decision Conference (2014 CCDC)

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In this paper, we study the optimal tracking performance problem of continuous-time linear multi-input multi-output (MIMO) networked control systems. The unstable and non-minimum phase systems is considered. The output feedback path is subject to quantization noise, additive white Gaussian noise and bandwidth constraints, and encoding and decoding are considered. The reference input is a random signal. The performance is measured through the tracking error energy, and two-parameter controller is considered. The explicit expression of the tracking performance has been obtained. The results show that the unstable poles and non-minimum phase zeros of the plant, the channel noise, bandwidth, quantization noise and coder will aggravate the optimal tracking performance.

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Signal-to-Noise Ratio Fundamental Limitations in Continuous-Time Linear Output Feedback Control

Cited by 10 publications

References 27 publications

Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels

Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels

Optimal tracking performance of control systems with two-channel constraints

Optimal tracking performance of MIMO networked control systems with communication constraints

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