Optimal decentralized sigma-delta modulators for quantized feedback control
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This paper analytically derive a solution to the problem of designing decentralized sigma-delta modulators for quantized control such that the resulting quantized feedback system optimally approximates the corresponding unquantized system.Abstract:
This paper addresses a problem of designing decentralized sigma-delta modulators for quantized control, i.e., feedback control subject to quantized signal constraints. The sigma-delta modulators to be considered here have a limited information structure so as to be implemented in a decentralized manner, which poses a challenging design problem. We first analytically derive a solution to the problem such that the resulting quantized feedback system optimally approximates the corresponding unquantized system. Next, the performance is demonstrated by a numerical simulation and an experiment for the stabilization problem of a seesaw-cart system.read more
Citations
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The sector bound approach to quantized feedback control | NOVA. The University of Newcastle's Digital Repository
Minyue Fu,Lihua Xie +1 more
TL;DR: In this paper, a number of quantized feedback design problems for linear systems were studied and the authors showed that the classical sector bound approach is non-conservative for studying these design problems.
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Numerical Optimization Design of Dynamic Quantizer via Matrix Uncertainty Approach
Kenji Sawada,Seiichi Shin +1 more
TL;DR: This paper describes a numerical optimization method for a continuous-time dynamic quantizer considering the switching speed and clarifies that both the temporal and spatial resolution constraints can be considered in analysis and synthesis, simultaneously.
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Model following control for continuous-time discrete-valued input systems
Kenji Sawada,Seiichi Shin +1 more
TL;DR: The analysis and synthesis conditions are derived in terms of invariant set and BIBO stability and the synthesis condition is recast as a set of matrix inequalities based on a non-common Lyapunov variable technique of linear matrix inequality-based multi-objective control.
Journal ArticleDOI
Model Following Output Feedback Control for Discrete-Valued Input Systems
Kenji Sawada,Seiichi Shin +1 more
References
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A Survey of Recent Results in Networked Control Systems
TL;DR: This work reviews several recent results on estimation, analysis, and controller synthesis for NCSs, and addresses channel limitations in terms of packet-rates, sampling, network delay, and packet dropouts.
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Understanding Delta-Sigma Data Converters
TL;DR: This chapter discusses the design and simulation of delta-sigma modulator systems, and some of the considerations for implementation considerations for [Delta][Sigma] ADCs.
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Stabilization of linear systems with limited information
Nicola Elia,Sanjoy K. Mitter +1 more
TL;DR: By relaxing the definition of quadratic stability, it is shown how to construct logarithmic quantizers with only finite number of quantization levels and still achieve practical stability of the closed-loop system.
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Quantized feedback stabilization of linear systems
TL;DR: A new control design methodology is proposed, which relies on the possibility of changing the sensitivity of the quantizer while the system evolves, which yields global asymptotic stability.
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The sector bound approach to quantized feedback control
Minyue Fu,Lihua Xie +1 more
TL;DR: The coarsest quantization densities for stabilization for multiple-input-multiple-output systems in both state feedback and output feedback cases are derived and conditions for quantized feedback control for quadratic cost and H/sub /spl infin// performances are derived.
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