| 一类连续非线性系统的动态输出反馈H_∞控制器设计 |
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| 引用本文： | 郭祥贵.一类连续非线性系统的动态输出反馈H_∞控制器设计[J].沈阳大学学报,2012,24(5):62-68. |
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| 作者姓名： | 郭祥贵 |
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| 作者单位： | 天津理工大学自动化学院电气工程系,天津300384 天津理工大学天津市复杂系统控制理论及应用重点实验室,天津300384 |
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| 基金项目： | 国家自然科学基金资助项目（60974043,61104029） |
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| 摘 要： | 针对一类具有非线性不确定性的连续非线性系统研究了动态输出反馈H∞控制器的设计问题.所设计的控制器不仅使得闭环系统渐近稳定,而且满足H∞性能要求.提出了一种基于S-过程解决该类非线性不确定性的设计方法.基于李亚普诺夫稳定性和线性矩阵不等式技术给出了控制器存在的充分条件,并利用基于线性矩阵不等式的凸优化方法求解控制器.最后,通过一个仿真例子验证所提方法的有效性.
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| 关 键 词： | 非线性系统 动态输出反馈控制 S-过程 线性矩阵不等式(LMI) |
Dynamic Output Feedback H_∞ Controller Design for a Class of Continuous-Time Nonlinear Systems |
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| GUO Xianggui.Dynamic Output Feedback H_∞ Controller Design for a Class of Continuous-Time Nonlinear Systems[J].Journal of Shenyang University,2012,24(5):62-68. |
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| Authors: | GUO Xianggui |
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| Institution: | GUO Xiangguia,b(a.School of Electrical Engineering,b.Tianjin Key Laboratory for Control Theory ＆ Applications in Complicated Systems,Tianjin University of Technology,Tianjin 300384,China) |
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| Abstract: | The dynamic output feedback H∞ controller design for a class of nonlinear continuous-time systems with nonlinear uncertainties is concerned.The resulting design is such that the closed-loop system not only is asymptotically stable,but also meets the prescribed H∞ norm constraint.A new method which combines S-procedure approach to solve the nonlinear uncertainties is proposed.A sufficient condition for the existence of such a controller is obtained by using appropriate Lyapunov functional and linear matrix inequality（LMI） technique.In addition,based on this result,a convex LMI-based optimization method is developed to obtain the controller.Finally,a numerical example is provided to demonstrate the effectiveness of the proposed design. |
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| Keywords: | nonlinear systems dynamic output feedback control S-procedure linear matrix inequality（LMI） |
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