| 非线性连续时间系统L1控制的非线性反馈 |
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| 引用本文： | 郝飞,楚天广,黄琳.非线性连续时间系统L1控制的非线性反馈[J].北京大学学报(自然科学版),2002,38(5):635-646. |
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| 作者姓名： | 郝飞 楚天广 黄琳 |
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| 作者单位： | 北京大学力学与工程科学系,系统与控制研究中心,100871 |
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| 基金项目： | 国家重点基础研究发展计划(973计划);G1998020302; |
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| 摘 要： | 用集值分析方法研究了仿射非线性连续时间系统具λ-指数收敛率和ρ-性能的L1-控制问题.首先,引入连续时间系统的受控λ-收缩集概念,并建立了与其Euler逼近的离散系统的受控收缩集之间的关系.然后,结合此概念,得到了这个问题有静态连续非线性解的充分条件.这推广了在稳定性意义下文献中的结果.
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| 关 键 词： | 非线性连续时间系统 L1控制 ρ-性能 收缩集 非线性反馈 |
Nonlinear Feedback for L1-control of Nonlinear Continuous-time Systems |
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| Abstract.Nonlinear Feedback for L1-control of Nonlinear Continuous-time Systems[J].Acta Scientiarum Naturalium Universitatis Pekinensis,2002,38(5):635-646. |
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| Authors: | Abstract |
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| Abstract: | It is concerned with L1-control of continuous affine nonlinear systems with prescribed exponentially convergent rate and performance by using set-valued analysis method.The concept of controlled λ-exponentially contractive set for the systems is introduced,and relation between the set and that for its Euler approximation discrete-time system is also established.For affine nonlinear continuous-time systems,a sufficient condition for the existence of static-state continuous nonlinear feedback for the L1-control problem is presented.The result extends to the one in reference in stability sense. |
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| Keywords: | Nonlinear continuous-time systems L1-control contractive set Nonlinear feedback |
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