Delta-Sigma Modulators - Modeling, Design and Applications

Bourdopoulos, George I; Pnevmatikakis, Aristodemos; Anastassopoulos, V.; Deliyannis, T.

doi:10.1142/9781848161214

Cited by 47 publications

(44 citation statements)

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“…Furthermore, the amplitude of the input signal is also critical to the SNR and the stability of the ∆∑ modulator. If the input power overloads the quantizer, the modulator will become unstable even the input amplitude drops back to small (Bourdopoulos, et al, 2003).…”

Section: Figure 34 First Order Quasi-linear ∆∑ Modulatormentioning

confidence: 99%

“…z i = e ±j√g ). For odd order structures, the resonators are normally located at the second and the third integrators to avoid noise coupling due to the feedback coefficient (Bourdopoulos, et al, 2003). A CIDIFF structure with resonator is shown in Fig.3.7(d).…”

Section: Implementation Structurementioning

confidence: 99%

“…Unfortunately, so far the estimation of the maximum input to the quantizer is only accurate for the first order Δ∑ modulator. For other types, the above criteria can be very strict and the maximum quantizer input is normally underestimated (Bourdopoulos, et al, 2003). In the simulation presented in this thesis, the maximum input into Δ∑ modulator is set to be 75% of the quantization level (e.g.…”

Section: Proofmentioning

confidence: 99%

“…Therefore, even if the control loop is designed to be stable, there is still a chance that the modulator input will temporarily overload the quantizer. When this occurs, the Δ∑ modulator output will enter the status of the -limited cycle‖ (low frequency binary signals), and will remain unstable even the modulator input restored within the quantization range (Bourdopoulos, et al, 2003).…”

Section: Stabilization Techniques 52mentioning

confidence: 99%

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1-Bit processing based model predictive control for fractionated satellite missions

Bai

2014

Acta Astronautica

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In this thesis, a 1-bit processing based Model Predictive Control (OBMPC) structure is proposed for a fractionated satellite attitude control mission. Despite the appealing advantages of the MPC algorithm towards constrained MIMO control applications, implementing the MPC algorithm onboard a small satellite is certainly challenging due to the limited onboard resources. The proposed design is based on the 1-bit processing concept, which takes advantage of the affine relation between the 1-bit state feedback and multi-bit parameters to implement a multiplier free MPC controller.As multipliers are the major power consumer in online optimization, the OBMPC structure is proven to be more efficient in comparison to the conventional MPC implementation in term of power and circuit complexity. The system is in digital control nature, affected by quantization noise introduced by Δ∑ modulators. The stability issues and practical design criteria are also discussed in this work.Some other aspects are considered in this work to complete the control system. Firstly, the implementation of the OBMPC system relies on the 1-bit state feedbacks. Hence, 1-bit sensing components are needed to implement the OBMPC system. While the ∆∑ modulator based Microelectromechanical systems (MEMS) gyroscope is considered in this work, it is possible to implement this concept into other sensing components.Secondly, as the proposed attitude mission is based on the wireless inter-satellite link (ISL), a state estimator is required. However, conventional state estimators will once again introduce multi-bit signals, and compromise the simple, direct implementation of the OBMPC controller. Therefore, the 1-bit state estimator is also designed in this work to satisfy the requirements of the proposed fractionated attitude control mission.The simulation for the OBMPC is based on a 2U CubeSat model in a fractionated satellite structure, in which the payload and actuators are separated from the controller and controlled via the ISL. Matlab simulations and FPGA implementation based performance analysis shows that the OBMPC is feasible for fractionated satellite missions and is advantageous over the conventional MPC controllers. V VI

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Section: Figure 34 First Order Quasi-linear ∆∑ Modulatormentioning

confidence: 99%

Section: Implementation Structurementioning

confidence: 99%

Section: Proofmentioning

confidence: 99%

Section: Stabilization Techniques 52mentioning

confidence: 99%

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1-Bit processing based model predictive control for fractionated satellite missions

Bai

2014

Acta Astronautica

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show abstract

“…Interestingly, many efficient methods of signal compression -starting with the so-called delta-modulation -are based on recording, for each moment of time, exactly one of these three situations: 0 (no change), − (decrease), or + (increase); see, e.g., [1,2,5,8,10,13].…”

mentioning

confidence: 99%