| 基于有限区域量化的系统稳定性分析与设计 |
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| 引用本文： | 谢林柏,陈尔奎,王艳. 基于有限区域量化的系统稳定性分析与设计[J]. 系统科学与数学, 2009, 29(1): 14-25 |
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| 作者姓名： | 谢林柏 陈尔奎 王艳 |
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| 作者单位： | 1. 江南大学电气自动化研究所,无锡,214122
2. 江南大学电气自动化研究所,无锡,214122;山东科技大学信息与电气工程学院,青岛,266510 |
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| 基金项目： | 国家自然科学基金，山东省优秀中青年科学家科研奖励基金 |
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| 摘 要： | 针对基于输出反馈和具有有限区域信号量化的离散时间系统,进行了系统稳定性分析与量化参数设计的研究.首先,分别对状态观测误差系统和对象系统在有限区域对数量化作用下的系统渐近稳定性进行了分析,得到了相应的稳定性条件,接着针对对数型量化器,给出了两个系统稳定性之间的内在关联,同时得到了各有限区域量化器的量化区间上界值.在此基础上,得到了保证各子系统稳定的系统通信速率比值.最后,给出了在时变量化作用下基于状态观测的控制策略和仿真例子.
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| 关 键 词： | 输出反馈 有限区域量化器 渐近稳定 不变域 |
| 收稿时间： | 2007-05-23 |
| 修稿时间： | 2007-07-20 |
Stability Analysis and Quantization Parameters Design of Systems with Finite Quantizers |
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| XIE Linbo,CHEN Erkui,WANG Yan. Stability Analysis and Quantization Parameters Design of Systems with Finite Quantizers[J]. Journal of Systems Science and Mathematical Sciences, 2009, 29(1): 14-25 |
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| Authors: | XIE Linbo CHEN Erkui WANG Yan |
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| Affiliation: | (1)Institute of Electrical Automation, Jiangnan University, Wuxi 214122; (2)Institute of Electrical Automation, Jiangnan University, Wuxi 214122; College of Information and Electrical Engineering, University of Science and Technology, Qingdao 266510; (3)Institute of Electrical Automation, Jiangnan University, Wuxi 214122. |
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| Abstract: | This paper is concerned with asymptotic stability analysis and quantization parameters design of discrete-time linear systems subject to output feedback and finite logarithmic quantizers. First, the asymptotic stability analysis and its corresponding stability conditions for observation error system and plant system are given, respectively. Then, the numerical relationships of stability between plant system and error system are presented explicitly under finite logarithmic quantizers. The upper bound interval value of each finite quantizers and their data rate ratio are achieved. Finally, a hybrid quantized control strategy based on state observation is proposed, and a numerical example is given. |
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| Keywords: | Output feedback finite quantizer asymptotic stability invariant region. |
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