关联量化系统参数稳定性与控制器设计

陈宁; 沈晓瑜; 桂卫华; 郭宇骞

doi:10.3724/SP.J.1004.2014.00041

关联量化系统参数稳定性与控制器设计

doi: 10.3724/SP.J.1004.2014.00041

1.
中南大学信息科学与工程学院长沙 410083

基金项目:

国家自然科学基金（61074001，61074002）;中央高校基本科研业务费专项资金项目（2010QZZD016）;国家创新群体科学基金（61321003）资助

详细信息

作者简介:
陈宁中南大学教授. 主要研究方向为大系统分散控制，鲁棒控制和数字信号处理. 本文通信作者.E-mail：ningchen@csu.edu.cn

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出版历程
- 收稿日期: 2012-07-18
- 修回日期: 2012-12-19
- 刊出日期: 2014-01-20

Parametric Stability and Controller Design for Interconnected Systems with Quantization

1.
School of Information Science and Engineering, Central South University, Changsha 410083

Funds:

Supported by National Natural Science Foundation of China (61074001, 61074002), the Fundamental Research Funds for the Central Universities (2010QZZD016), and Science Fund for Creative Research Groups of the National Natural Science Foundation of China (61321003)

摘要

摘要: 量化问题广泛存在于计算机控制系统和数字通信的传输通道中. 本文研究一类非线性关联量化系统的参数稳定性及分散状态反馈控制器的设计问题. 每个控制器的输出经过对数量化器量化后输入到子系统中，其量化密度的大小会影响系统的稳定性. 首先，设计分散状态反馈控制器，使得无量化器存在时的关联闭环系统参数稳定，并确定参数稳定的区域；然后，对每个子系统的控制输入采用对数量化器进行量化，通过局部信息确定子系统中对数量化器量化密度的下界，使得整个闭环关联量化系统在参数稳定域内仍然保持稳定；最后，对给定量化密度，优化控制器使系统能容许最大的非线性. 仿真结果表明，本文所设计的分散量化控制器在参数稳定域内能够镇定关联大系统.
- 关联量化系统 /
- 参数稳定性 /
- 对数量化器 /
- 分散控制
Abstract: The effect of quantization has become a big concern in the design of computer-based control systems and digital communication systems. This paper studies the analysis of parametric stability and decentralized state feedback control of a kind of interconnected systems with quantization. The output of each controller is quantized by a logarithmic quantizer before it is input to the subsystem, and the quantized density would affect the stability of the system. First, a decentralized state feedback controller is designed for interconnected systems without quantization and the corresponding stable region is obtained. Second, the lower bound of the quantization density is evaluated by local information, so that the closed-loop system is still parametrically stable. Finally, for a given quantization density, the controller is optimized to maximize the bound of the nonlinearity. Simulation results show that by using the proposed quantized controllers, the interconnected large-scaled systems are parametrically stabilized.
- Interconnected systems with quantization /
- parametric stability /
- logarithmic quantizer /
- decentralized control

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参考文献(18)

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