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具有时变时延中立型控制系统的状态反馈镇定

State feedback stabilization of time-delay neutral control systems
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摘要 研究具有变时延中立型控制系统的状态反馈镇定问题,首先利用三重Lyapunov泛函方法,通过构造改进型Lyapunov-Krasovskii泛函与利用Jesnen积分不等式,并综合凸组合等方法来有效地估计Lyapunov-Krasovskii泛函导函数尽可能小上界,进而基于线性矩阵不等式(LMI)建立无受控系统的渐近稳定性判据,进而给出控制器设计方案;所得结论易于借助MATLAB工具箱LMI进行验证,最后的数值算例和仿真结果说明了结论的有效性。 The state feedback stabilization of neutral systems with time-varying delays is analyzed. Based on triple integral functional technique, through choosing one improved Lyapunov-Krasovskii functional and using Jesen integration inequality, then combining the convex technique to estimate the derivative of Lyapunov-Krasovskii functional, one delay-dependent asymptotic stability criterion is presented in terms of LMIs with no control input, which can be easily checked by resorting to LMI in MATLAB toolbox. Finally, the numerical examples and simulation results can illustrate the efficiency of the results.
作者 李楠 李涛 费树岷 杨欣
机构地区 南京航空航天大学自动化学院 东南大学自动化学院
出处 《信息技术》 2015年第11期16-20,共5页 Information Technology
基金 国家自然科学基金资助项目(61172135) 江苏省自然科学基金资助项目(BK201212211)
关键词 中立型控制系统 时变时延 状态反馈镇定 线性矩阵不等式(LMI) neutral control system time-varying delay state feedback stabilization linear matrix inequality （LMI）
分类号 TP273.5 [自动化与计算机技术—检测技术与自动化装置]
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参考文献10

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信息技术
2015年 第11期

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