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Journal ArticleDOI

Optimal dynamic quantizers for discrete-valued input control

Shun-ichi Azuma, +1 more
- 01 Feb 2008 - 
- Vol. 44, Iss: 2, pp 396-406
TLDR
This paper derives a closed form expression for the performance of a class of dynamic quantizers in the form of a linear difference equation such that the system composed of a given linear plant and the quantizer is an optimal approximation of the givenlinear plant in the sense of the input-output relation.
About
This article is published in Automatica.The article was published on 2008-02-01. It has received 144 citations till now. The article focuses on the topics: Linear system & Optimal control.

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Citations
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The sector bound approach to quantized feedback control | NOVA. The University of Newcastle's Digital Repository

Minyue Fu, +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.
Journal ArticleDOI

Moving Horizon Estimation With Unknown Inputs Under Dynamic Quantization Effects

TL;DR: A novel MHE strategy is developed to cope with the underlying NLS with unknown inputs by dedicatedly introducing certain temporary estimates of unknown inputs, where the desired estimator parameters are designed to decouple the estimation error dynamics from the unknown inputs.
Journal ArticleDOI

Synthesis of Optimal Dynamic Quantizers for Discrete-Valued Input Control

TL;DR: This paper presents an optimal dynamic quantizer synthesis method for controlling linear time-invariant systems with discrete-valued input and obtains a globally optimal solution by taking advantage of a special structure of the problem which allows us to relax the original nonconvex problem.
Journal ArticleDOI

Frequency Domain Min-Max Optimization of Noise-Shaping Delta-Sigma Modulators

TL;DR: A min-max design of noise-shaping delta-sigma modulators with general quantizers including uniform ones is proposed, which minimizes the worst-case reconstruction error, and hence improves the SNR (signal-to-noise ratio) of the modulator.
Journal ArticleDOI

Analysis and design of networked control systems using the additive noise model methodology

TL;DR: A partial overview of recent developments in Networked Control with an emphasis on the additive noise model methodology is given.
References
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Journal ArticleDOI

The explicit linear quadratic regulator for constrained systems

TL;DR: A technique to compute the explicit state-feedback solution to both the finite and infinite horizon linear quadratic optimal control problem subject to state and input constraints is presented, and it is shown that this closed form solution is piecewise linear and continuous.
Book

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.
Journal ArticleDOI

Control under communication constraints

TL;DR: This paper forms a control problem with a communication channel connecting the sensor to the controller, and provides upper and lower bounds on the channel rate required to achieve different control objectives.
Journal ArticleDOI

Stabilization of linear systems with limited information

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.
Journal ArticleDOI

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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