| 具有多非线性和多未建模动态系统的鲁棒绝对稳定性 |
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| 引用本文： | 田玉平.具有多非线性和多未建模动态系统的鲁棒绝对稳定性[J].自动化学报,1998,24(1):16-23. |
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| 作者姓名： | 田玉平 |
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| 作者单位： | 1.东南大学自动控制系,南京 |
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| 摘 要： | 研究了同时具有多个扇形非线性环节和多个未建模动态的多变量系统的鲁棒绝对
稳定性.用带有Popov乘子的线性分式变换模型对线性和非线性不确定性进行了统一处理.
得到了系统的鲁棒绝对稳定性判据,并将这一判据的计算化为凸优化问题,最后给出了计
算示例.
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| 关 键 词： | 鲁棒绝对稳定性 多非线性 未建模动态 多变量Popov判据 |
| 收稿时间： | 1995-3-25 |
Robust Absolute Stability of Systems with Multiple Nonlinearities and Numodeled Dynamics |
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| TIAN YUPING.Robust Absolute Stability of Systems with Multiple Nonlinearities and Numodeled Dynamics[J].Acta Automatica Sinica,1998,24(1):16-23. |
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| Authors: | TIAN YUPING |
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| Affiliation: | 1.Department of Automatic Contral,Southeast University,Nanjing |
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| Abstract: | This paper discusses the robust absolute stability of multivariable systems with multiple sector bounded nonlinearities and unmodeled dynamics. Linear and nonlinear uncertainties are handled by a unified linear fractional transformation(LFT) model with Popov multipliers. A robust absolute stability criterion is obtained for the discussed systems. A convex optimization procedure is proposed to compute the given criterion. Finally, an illustrative example is given to show the efficiency of the obtained criterion. |
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| Keywords: | Robust absolute stability multiple nonlinearities unmodeled dynamics multivariable Popov criterion |
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