| 引用本文: | 郭戈.非线性采样控制系统的Lagrange稳定性[J].控制理论与应用,2006,23(2):297~301.[点击复制] |
| GUO Ge.Lagrange stability of nonlinear sampled-data control systems[J].Control Theory and Technology,2006,23(2):297~301.[点击复制] |
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| 非线性采样控制系统的Lagrange稳定性 |
| Lagrange stability of nonlinear sampled-data control systems |
| 摘要点击 1831 全文点击 934 投稿时间：2004-01-13 修订日期：2005-12-27 |
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| DOI编号 10.7641/j.issn.1000-8152.2006.2.026 |
| 2006,23(2):297-301 |
| 中文关键词 采样系统 Lagrange稳定性 量化影响 非线性跳跃系统 |
| 英文关键词 sampled-data system Lagrange stability quantization effect nonlinear system with jumps |
| 基金项目 国家自然科学基金资助项目(60504017);新世纪优秀人才支持计划资助项目(NCET-04-0982) |
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| 中文摘要 |
| 针对由具有外部慢时变输入信号的非线性被控对象和线性数字控制器构成的非线性采样系统,采用非线性跳跃系统方法及其线性化策略,得到了这类系统在理想离散化方式和无限字长数字控制器作用下(即不考虑量化因素)的Lagrange稳定(最终有界)条件.并指出,当考虑数字控制器和接口器件的非线性量化因素影响时,只要非线性量化环节及其相应偏导数有界,则所得稳定性结论仍然成立. |
| 英文摘要 |
| For nonlinear sampled-data systems consisting of a nonlinear plant with slowly varying exogenous input signal and a linear digital controller,the well established methodology for nonlinear systems with jumps and corresponding linearization approach are used to obtain Lagrange stability(ultimate boundedness) conditions for such systems under ideal discretization and infinite word-length digital controller(i.e.without quantization effect).When the nonlinear quantization effects of the digital controller and the interface elements are considered,the stability result still holds given that the nonlinearity and its partial derivatives are bounded. |