Quantized Control and Data Rate Constraints †

Nair, Girish N.

doi:10.1007/978-1-4471-5102-9_149-1

Cited by 2 publications

(2 citation statements)

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“…It is now important to explore what is the simplest decentralized control problem that cannot be solved (exactly or approximately) using ideas developed for the counterexample. In this manner, the Witsenhausen counterexample can provide a platform to unify the more modern (i.e., external-channel centric approaches, see Nair (2014), Kawan (2014), Bushnell (2014), Hespanha (2014), andYuksel (2014) in the encyclopedia) with the more classical decentralized LQG problems, leading to enriching and useful formulations.…”

Section: Summary and Future Directionsmentioning

confidence: 99%

Information Structures, the Witsenhausen Counterexample, and Communicating Using Actions

Grover¹

2014

Encyclopedia of Systems and Control

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The concept of "information structures" in decentralized control is a formalization of the notion of "who knows what and when do they know it." Even seemingly simple problems with simply stated information structures can be extremely hard to solve. Perhaps the simplest of such unsolved problem is the celebrated Witsenhausen counterexample, formulated by Hans Witsenhausen in 1968. This entry discusses how the information structure of the Witsenhausen counterexample makes it hard and how an information-theoretic approach, which explores the knowledge gradient due to a nonclassical information pattern, has helped obtain insights into the problem.

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Section: Summary and Future Directionsmentioning

confidence: 99%

Information Structures, the Witsenhausen Counterexample, and Communicating Using Actions

Grover¹

2014

Encyclopedia of Systems and Control

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“…Owing to limitations on the communication bandwidth in a digital network, the quantization problem of all closed‐loop signals has attracted increasing interest in the modern control community 45,46 . In particular, quantized‐state‐based recursive design methodologies have been developed recently because of the difficulty that non‐differentiable quantized states cannot be directly utilized in a Lyapunov‐based control design framework.…”

Section: Introductionmentioning

confidence: 99%

Distributed containment control of networked uncertain MIMO pure‐feedback nonlinear systems via quantized state feedback and communication

Kim

Yoo

2022

Intl J Robust & Nonlinear

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This article presents a distributed adaptive containment control strategy using quantized state feedback and communication for uncertain multiple‐input‐multiple‐output pure‐feedback nonlinear multi‐agent systems with state quantization. It is assumed that quantized state variables of multiple followers and quantized outputs of multiple dynamic leaders are only available for constructing local adaptive feedback controllers of followers under a directed network. Compared with existing containment control approaches, the primary contribution of this study is dealing with discontinuously quantized state feedback and communication problems for containment control design in the presence of unknown nonaffine nonlinearities. Based on quantized state and communication information, local adaptive neural network trackers of followers and their adaptive tuning laws are developed to guarantee that the trajectories of all followers converge to the dynamic convex hull spanned by the multiple leaders regardless of unknown pure‐feedback nonlinearities. By analyzing the stability of the local quantization errors between quantized signals and original signals, we prove the boundedness of all closed‐loop signals and the convergence of the containment errors to a sufficiently small domain around the origin. Simulation examples involving flexible‐joint manipulators are presented to validate the proposed quantized feedback scheme.

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Quantized Control and Data Rate Constraints †

Cited by 2 publications

References 25 publications

Information Structures, the Witsenhausen Counterexample, and Communicating Using Actions

Information Structures, the Witsenhausen Counterexample, and Communicating Using Actions

Distributed containment control of networked uncertain MIMO pure‐feedback nonlinear systems via quantized state feedback and communication

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