Journal ArticleDOI
The sector bound approach to quantized feedback control
Minyue Fu,Lihua Xie +1 more
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TLDR
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.Abstract:
This paper studies a number of quantized feedback design problems for linear systems. We consider the case where quantizers are static (memoryless). The common aim of these design problems is to stabilize the given system or to achieve certain performance with the coarsest quantization density. Our main discovery is that the classical sector bound approach is nonconservative for studying these design problems. Consequently, we are able to convert many quantized feedback design problems to well-known robust control problems with sector bound uncertainties. In particular, we derive the coarsest quantization densities for stabilization for multiple-input-multiple-output systems in both state feedback and output feedback cases; and we also derive conditions for quantized feedback control for quadratic cost and H/sub /spl infin// performances.read more
Citations
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A new delay system approach to network-based control
TL;DR: A sampled-data networked control system with simultaneous consideration of network induced delays, data packet dropouts and measurement quantization is modeled as a nonlinear time-delay system with two successive delay components in the state and the problem of network-based H"~ control is solved accordingly.
Journal ArticleDOI
Feedback Control Under Data Rate Constraints: An Overview
TL;DR: In this article, the authors review the results available in the literature on data-rate-limited control for linear systems and show how fundamental tradeoffs between the data rate and control goals, such as stability, mean entry times, and asymptotic state norms, emerge naturally.
Journal ArticleDOI
Network-Induced Constraints in Networked Control Systems—A Survey
TL;DR: The main methodologies suggested in the literature to cope with typical network-induced constraints, namely time delays, packet losses and disorder, time-varying transmission intervals, competition of multiple nodes accessing networks, and data quantization are surveyed.
Journal ArticleDOI
Survey on Recent Advances in Networked Control Systems
TL;DR: This survey provides an overview on the theoretical development of NCSs, and in-depth analysis and discussion is made on sampled-data control, networked control, and event-triggered control.
Journal ArticleDOI
${\cal H}_{\infty}$ Estimation for Uncertain Systems With Limited Communication Capacity
Huijun Gao,Tongwen Chen +1 more
TL;DR: This paper proposes a parameter-dependent filter design procedure, which is much less conservative than the quadratic approach and provides alternatives for designing robust Hinfin filters with different degrees of conservativeness and computational complexity.
References
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Book
Feedback Systems: Input-output Properties
TL;DR: In this paper, the Bellman-Gronwall Lemma has been applied to the small gain theorem in the context of linear systems and convolutional neural networks, and it has been shown that it can be applied to linear systems.
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
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.
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.
Journal ArticleDOI
The complex structured singular value
Andrew Packard,John Doyle +1 more
TL;DR: A tutorial introduction to the complex structured singular value (μ) is presented, with an emphasis on the mathematical aspects of μ.