| 非线性扰动离散系统的反馈控制 |
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| 引用本文： | 申涛,诸静. 非线性扰动离散系统的反馈控制[J]. 浙江大学学报(工学版), 2004, 38(4): 425-428 |
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| 作者姓名： | 申涛 诸静 |
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| 作者单位： | 申涛（浙江大学,电气工程学院,浙江,杭州,310027）
诸静（浙江大学,电气工程学院,浙江,杭州,310027） |
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| 摘 要： | 研究了具有非线性扰动的离散不确定系统的鲁棒稳定性问题,以线性矩阵不等式的形式给出了该类系统的鲁棒稳定性条件,在此基础上讨论了反馈控制器的设计方法,该方法通过建立并求解一个具有线性矩阵不等式约束的凸优化问题,设计状态反馈控制器,从而使得闭环系统具有较大的稳定界.
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| 关 键 词： | 非线性 线性矩阵不等式 鲁棒稳定性 |
| 文章编号： | 1008-973X(2004)04-0425-04 |
| 修稿时间： | 2003-05-04 |
Feedback control of discrete systems with nonlinear perturbations |
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| SHEN Tao,ZHU Jing. Feedback control of discrete systems with nonlinear perturbations[J]. Journal of Zhejiang University(Engineering Science), 2004, 38(4): 425-428 |
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| Authors: | SHEN Tao ZHU Jing |
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| Abstract: | The robust stability problem for discrete system with nonlinear perturbations was studied, the sufficient stability conditions for nonlinear systems were established in the form of a linear matrix inequality. On this basis, the way to design feedback controller was presented, and a robust controller with a relatively large bound of stability margin was formulated as a convex optimal problem with the linear matrix inequality constraints. |
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| Keywords: | nonlinear linear matrix inequality robust stability |
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