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DISTRIBUTED QUANTIZED CONSENSUS FOR AGENTS ON DIRECTED NETWORKS

Journal of Systems Science & Complexity 2013年第4期26卷 489-511页

作者： LI Dequan LIU Qipeng WANG Xiaofan Department of Automation Shanghai Jiao Tong Universityand Key Laboratory of System Control and Information ProcessingMinistry of Education of China School of Science Anhui University of Science and Technology

Communication bandwidth and network topology are two important factors that affect performance of distributed consensus in multi-agent *** available works about quantized average consensus assume that the adjacency matrices associated with the digraphs are doubly stochastic,which amounts to that the digital networks are ***,this assumption may be unrealistic in *** this paper,without assuming double stochasticity,the authors revisit an existing quantized average consensus protocol with the logarithmic quantization scheme,and investigate the quantized consensus problem in general directed digital networks that are strongly connected but not necessarily *** authors first derive an achievable upper bound of the quantization precision parameter to design suitable logarithmic quantizer,and this bound explicitly depends on network ***,by means of the matrix transformation and the Lyapunov techniques,the authors provide a testable condition under which the weighted average consensus can be achieved with the proposed quantized protocol.

关键词： Consensus protocol digraph logarithmic quantization multi-agent systems.

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Quantized Control for Networked Control Systems with Communication Delay and Packet Dropouts

Quantized Control for Networked Control Systems with Communi...

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第26届中国控制与决策会议

作者： Chong JIANG Department of sports information and technology Shenyang Sports University

ISBN: (纸本)9781479937066

This paper is concerned with the problem of quantized ∞H control for discrete-time networked control systems（NCSs） with random communication delays and packet dropouts. By choosing appropriate Lyapunov functional, sufficient conditions for the existence of quantized ∞H controller is derived, such that the closed-loop discrete-time networked control systems is robustly asymptotically mean-square stable and preserves a guaranteed ∞H performance. An improved design criterion for quantized ∞H controller is formulated in the form of nonconvex matrix inequalities, and the cone complementary linearization（CCL） procedure is exploited to solve the nonconvex feasibility problem. Finally, a numerical example is given to show the effectiveness of the proposed method.

关键词： Networked Control Systems ∞H Control logarithmic quantization Random Communication Delays Packet Dropouts

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Consensus Control for Networks of Agents with Fixed Topology and Quantized Communication 25th

Consensus Control for Networks of Agents with Fixed Topology...

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第25届中国控制与决策会议

作者： Dequan Li Jinfeng Wang Zhixiang Yin School of Science Anhui University of Science and Technology

ISBN: (纸本)9781467355339

In this paper, without assuming balanced network topologies, we address the weighted average consensus problem for discrete-time single-integrator multi-agent systems with logarithmic quantized information communication. By incorporating the generalized quadratic Lyapunov function with the discrete-time Bellman-Gronwall inequality, a new upper bound about the quantization precision parameter of the infinite-level logarithmic quantizer is derived to design quantized protocol, under which agents in strongly connected directed networks can attain weighted average consensus. The obtained new upper bound clearly characterizes the intimate relationship between the quantization precision parameter and the directed network topology property. The proposed quantized protocol takes the joint effects of information quantization and network topology into consideration, and therefore, it is in particular applicable to digital networks where bidirectional and/or balanced message passing among agents is not available.

关键词： Consensus Double Stochasticity logarithmic quantization Digraph

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On the absolute stability approach to quantized feedback control:Further insight

On the absolute stability approach to quantized feedback con...

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第26届中国控制与决策会议

作者： Xiju Zong Xingong Cheng School of Electrical Engineering University of Jinan

By exploring some geometric properties of the logarithmic quantizer and using the fact that the logarithmic quantizer is sector bounded and nondecreasing, this paper presents a new approach to the stability analysis of quantized feedback control systems. Our method is based on Tsypkin-type Lyapunov functions that have been widely used in absolute stability analysis problems. The results are expressed in linear matrix inequalities（LMIs） and are valid for both single-input and multiple-input discrete-time linear systems with a logarithmic quantizer. Theoretical analysis shows that the results in this paper are generally less conservative than those in the quadratic framework.

关键词： logarithmic quantization Asymptotic stability.

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