| FLOATING QUANTIZATION EFFECTS ON MULTIRATE SAMPLED-DATA NONLINEAR CONTROL SYSTEMS |
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| 作者姓名： | 余宏旺 汪志鸣 |
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| 作者单位： | Department of Mathematics East China Normal University，Department of Mathematics，East China Normal University，Shanghai 200062，China Department of Mathematics，Shanghai University，Shanghai 200436，China，Shanghai 200062，China |
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| 基金项目： | 国家自然科学基金，上海市领先学科项目 |
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| 摘 要： | In this article,floating quantization effects on multirate sampled-data control systems are studied.It shows that the solutions of multirate digital feedback control systems with nonlinear plant and with floating quantization in the controller are uniformly ultimately bounded if the associated linear systems consisting of linearization of the plant and controller with no quantization are Schur stable.Moreover,it also shows that the difference between the response of multirate digital controllers without quantizers and the same plant with floating quantization in the controllers can be made as small as desired by selecting proper quantization level.
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| 关 键 词： | 采样数据 非线性控制系统 量子化 数字控制 |
| 收稿时间： | 12 October 2004 |
| 修稿时间： | 2004-10-2005-12- |
Floating quantization effects on multirate sampled-data% nonlinear control systems |
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| Hongwang Yu,Zhiming Wang,.FLOATING QUANTIZATION EFFECTS ON MULTIRATE SAMPLED-DATA NONLINEAR CONTROL SYSTEMS[J].Acta Mathematica Scientia,2007,27(3):635-644. |
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| Authors: | Hongwang Yu Zhiming Wang |
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| Institution: | 1 Department of Mathematics, East China Normal University, Shanghai 200062, China; 2.Department of Mathematics, Shanghai University, Shanghai 200436, China |
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| Abstract: | In this article, floating quantization effects on multirate sampled-data control systems are studied. It shows that the solutions of multirate digital feedback control systems with nonlinear plant and with floating quantization in the controller are uniformly ultimately bounded if the associated linear systems consisting of linearization of the plant and controller with no quantization are Schur stable. Moreover, it also shows that the difference between the response of multirate digital controllers without quantizers and the same plant with floating quantization in the controllers can be made as small as desired by selecting proper quantization level. |
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| Keywords: | Multirate sampled-data control systems quantization Schur stable unifurmly ultimately bounded |
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