| 一类不确定非线性时滞系统的保成本控制 |
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| 引用本文： | 郝宁眉,张勇.一类不确定非线性时滞系统的保成本控制[J].科学技术与工程,2011,11(8):1728-1732. |
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| 作者姓名： | 郝宁眉 张勇 |
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| 作者单位： | 中国石油大学信息与控制工程学院,青岛,266555 |
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| 基金项目： | 国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 摘 要： | 研究了一类具有状态时滞的不确定非线性系统的保成本控制问题。通过利用Lyapunov稳定性理论和线性矩阵不等式方法,设计状态反馈保成本控制律,使得闭环系统渐近稳定,并且系统的性能指标不超过某个确定的上界。进而,通过求解一个具有线性矩阵不等式约束的凸优化问题来设计最优保成本控制器,以使得闭环不确定系统的性能指标最小化。最后仿真结果验证了该控制算法的有效性。
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| 关 键 词： | 非线性系统 保成本控制 时滞 LMI |
| 收稿时间： | 2010/12/23 0:00:00 |
| 修稿时间： | 2010/12/23 0:00:00 |
Guaranteed Cost Control for a Class of Uncertain Nonlinear Systems with Time-Delay |
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| HAO Ningmei and ZHANG Yong.Guaranteed Cost Control for a Class of Uncertain Nonlinear Systems with Time-Delay[J].Science Technology and Engineering,2011,11(8):1728-1732. |
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| Authors: | HAO Ningmei and ZHANG Yong |
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| Institution: | College of Information and Control Engineering, China University of Petroleum |
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| Abstract: | The guaranteed cost control(GCC) problem for a class of uncertain nonlinear systems with states time-delay is considered.The Lyapunov stability theory and the LMI approach are applied to design a guaranteed cost control law,which results in the closed-loop system is asymptotically stable and the system's performance index less than a determinate super bound.Furthermore,a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller for minimizing the perform... |
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| Keywords: | nonlinear systems guaranteed cost control time-delay LMI |
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