含区间时变时滞系统的稳定性分析
摘要
文章研究了含区间时变时滞系统的稳定问题,获到了一种新的判断时滞系统稳定的充分条件,通过引入新的积分不等式放缩,增加了适当的自由矩阵,从而获得的结果具有更好的保守性,结论通过Matlab数学软件求解线性矩阵不等式(LMI)得以验证,最后数值仿真验证了提出的方法的可行性和有效性。
出处
《中国高新技术企业》
2016年第31期54-55,共2页
China Hi-tech Enterprises
参考文献10
-
1Fridman E,Shaked U.A descriptor system approach to H∞control of linear time-delay systems[J].IEEETransactions on Automatic Control,2002,47(2).
-
2Han Q L.Absolute stability of time delay systems with sector-bound nonlinearity[J].Automatica,2005,41(12).
-
3Esfahani S H,Petersen I R.An LMI Approach to Output-Feedback Guaranteed Cost Control for Uncertain Time-Delay Systems[J].International Journal of Robust and Nonlinear Control,2000,10(2).
-
4Yu L,Gao F.Optimal Guaranteed Cost Control of Discrete-Time Uncertain Systems with Both State and Input Delays[J].Journal of the Franklin Institute,2001,338(1).
-
5Yang X F,Chen W H,Fang H J.Delay-dependent Guaranteed Cost Control for Uncertain Systems with Both State and Input delays[J].Journal of Control Theory and Application,2004,115(4).
-
6JIANG X F,HAN Q L.New staibility criteria for linear systems with time-varying delay[J].Automatica,2008,44(10).
-
7Liu P L.Robust stability of interval dynamic systems with multiple time-delays[J].Electron Lett,2001,(37).
-
8李涛,张合新,孙鹏.含区间时变时滞的线性不确定系统鲁棒稳定性新判据[J].控制与决策,2010,25(6):953-957. 被引量:11
-
9Liu P L.State feedbacks tabilization of time-varying delay uncertain systems:a delay decomposition approach[J].Linear Algebra Appl,2013,438(5).
-
10Liu P L.Further improvement on delay-rangedependent stability results for linear systems with interval time-varying delays[J].ISA Trans,2013,(7).
二级参考文献14
-
1Jiang X F, Han Q L. On H∞ control for linear systems with interval time-varying delay[J]. Automatica, 2005, 41(12): 2099-2106.
-
2Jiang X F, Han Q L. Delay-dependent robust stability for uncertain linear systems with interval time-varying delay[J]. Automatica, 2006, 42(6): 1059-1065.
-
3He Y, Wang Q G, Lin C, et al. Delay-rangedependent stability for systems with time-varying delay[J]. Automatica, 2007, 43(2): 371-376.
-
4Jiang X F, Han Q L. New stability criteria for linear systems with interval time-varying delay[J]. Automatica, 2008, 44(10): 2680-2685.
-
5Chen P, Tian Y C. Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay[J].J of Computational and Applied Mathematics, 2008, 214(2): 480-494.
-
6Shao H Y. Improved delay-dependent stability criteria for systems with a delay varying in a range[J]. Automatica, 2008, 44(12): 3215-3218.
-
7Shao H Y. New delay-dependent stability criteria for systems with interval delay[J]. Automatica, 2009, 45(3): 744-749.
-
8Yue D, Han Q L, Peng C. State feedback controller design of networked control systems[J]. IEEE Trans on Circuits and Systems-II: Express Briefs, 2004, 51(11): 640-644.
-
9He Y, Wu M, She J H, et al. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays[J]. Systems and Control Letters, 2004, 51(1): 57- 65.
-
10Gu K. An integral inequality in the stability problem of time-delay systems[C]. Proc of the 39 th IEEE Conf on Decision Control. Sydney, 2000: 2805-2810.
共引文献10
-
1张涛,王娟,孙进生.区间时变时滞线性系统鲁棒稳定性的新判据[J].大连民族学院学报,2012,14(3):221-224.
-
2高在瑞,沈艳霞,纪志成.一类不确定切换奇异时滞系统的时滞依赖鲁棒镇定[J].信息与控制,2012,41(3):339-343. 被引量:3
-
3张涛,邵诚,崔艳秋.区间时变时滞系统的时滞相关稳定性分析[J].电光与控制,2015,22(1):45-47. 被引量:8
-
4屈百达,徐培培.不确定线性时变时滞系统的非脆弱鲁棒H_∞控制器设计[J].计算机工程与应用,2015,51(10):42-46. 被引量:4
-
5屈百达,张玉军,廖建庆.一类不确定线性时变时滞系统的鲁棒H∞控制[J].控制工程,2016,23(1):91-96. 被引量:12
-
6张俊强,林崇,程倩倩,高倩.基于Wirtinger的区间时滞系统的稳定性分析[J].青岛大学学报(工程技术版),2015,30(4):9-15. 被引量:1
-
7张骜.含区间时变时滞系统的稳定性分析[J].平顶山学院学报,2016,31(5):28-31.
-
8李瑞杰,包俊东.广义时滞系统的鲁棒同时H_∞控制[J].控制工程,2017,24(3):661-669.
-
9胡潇达,刘延泉,张华.一类时变时滞系统的稳定性分析及控制[J].信息记录材料,2017,18(5):22-24.
-
10罗浩智,王汝凉.分布时滞不确定中立型系统的指数稳定性分析[J].南宁师范大学学报(自然科学版),2019,36(4):30-34. 被引量:1
-
1张骜.含有扰动的中立型时滞系统的稳定性分析[J].商,2014,0(46):205-205.
-
2盛春红.带有扰动的时滞系统控制器设计[J].中国高新技术企业,2016(10):26-27.
-
3朱红兰.一个新混沌系统的自适应控制与同步[J].信息技术,2009,33(11):113-116.
-
4刘小河,殷杰,张奇志.基于Lyapunov方法的一类非线性系统分段线性化自适应控制[J].控制理论与应用,2005,22(5):829-833. 被引量:11
-
5张涛,邵诚,崔艳秋.区间时变时滞系统的时滞相关稳定性分析[J].电光与控制,2015,22(1):45-47. 被引量:8
-
6王强,武俊峰,刘志东.结构式扰动情形下采样系统的鲁棒稳定性[J].电机与控制学报,1999,3(4):223-227. 被引量:4
-
7苏亚坤,陈兵.对带有区间时变时滞系统的鲁棒稳定性分析[J].统计与决策,2009,25(13):151-152.
-
8廖福成,王李阳.离散双线性广义滞后系统的E-稳定、无源控制分析[J].郑州大学学报(理学版),2013,45(3):1-5.
-
9张瑞.区间时变时滞线性系统稳定性准则的改进[J].价值工程,2011,30(28):133-134.
-
10王新梅,魏武,裴海龙,贺良华.一类具有区间时变多状态时滞系统的稳定性分析[J].控制理论与应用,2010,27(6):786-792. 被引量:2