| 随机切换时滞系统的鲁棒非脆弱保成本控制 |
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| 引用本文： | 沈浩,徐胜元,赵环宇,宋晓娜.随机切换时滞系统的鲁棒非脆弱保成本控制[J].南京理工大学学报(自然科学版),2009,33(3). |
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| 作者姓名： | 沈浩 徐胜元 赵环宇 宋晓娜 |
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| 作者单位： | 南京理工大学,自动化学院,江苏,南京,210094 |
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| 基金项目： | 教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 针对带有Markov切换的不确定随机分布式时滞系统,结合一个二次性能指标,研究其保成本控制问题.通过利用Lyapunov稳定性理论和线性矩阵不等式方法,针对具有摄动的控制器增益,得到非脆弱保成本控制律的一个时滞相关的充分条件.该控制器能保证闭环系统鲁棒随机稳定和一定的线性二次性能指标上界.数值算例说明了该文方法的有效性.
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| 关 键 词： | 保成本控制 鲁棒控制 时滞系统 非脆弱 分布时滞 随机稳定 |
Robust Non-fragile Guaranteed Cost Control for Stochastic Switching Delayed Systems |
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| SHEN Hao,XU Sheng-yuan,ZHAO Huan-yu,SONG Xiao-na.Robust Non-fragile Guaranteed Cost Control for Stochastic Switching Delayed Systems[J].Journal of Nanjing University of Science and Technology(Nature Science),2009,33(3). |
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| Authors: | SHEN Hao XU Sheng-yuan ZHAO Huan-yu SONG Xiao-na |
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| Institution: | School of Automation;NUST;Nanjing 210094;China |
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| Abstract: | By introducing a linear quadratic cost function,the robust guaranteed cost control problem for uncertain stochastic systems with distributed delays and Markovian switching is investigated.Via the application of Lyapunov stability theory and the linear matrix inequality techniques,a delay-dependent sufficient condition is given for the existence of the non-fragile guaranteed cost controllers in the cases of additive perturbation.The controller guarantees the robust stochastic stability of the closed-loop sys... |
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| Keywords: | guaranteed cost control robust control delay systems non-fragility distributed delays stochastic stability |
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