| 时不变时滞奇异摄动控制系统的保性能控制 |
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| 引用本文： | 孙凤琪.时不变时滞奇异摄动控制系统的保性能控制[J].吉林大学学报(理学版),2015,53(5):863-867. |
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| 作者姓名： | 孙凤琪 |
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| 作者单位： | 吉林师范大学 数学学院, 吉林 四平 136000 |
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| 摘 要： | 利用Lyapunov稳定性理论及矩阵分析方法,分析时不变时滞控制系统的保性能控制.采用二次L-Y性能指标,给出了该系统的二次稳定充分性存在条件、状态反馈保性能控制率和性能指标值,得到了最小的性能指标上界.
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| 关 键 词： | 时滞系统 线性矩阵不等式 Lyapunov Krasovskii泛函 时滞依赖 保性能控制率 最优控制 Schur补引理 |
| 收稿时间： | 2015-03-16 |
Guaranteed Cost Control of the Time-Invarying Singularly Perturbed Control Systems with Time-Delay |
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| SUN Fengqi.Guaranteed Cost Control of the Time-Invarying Singularly Perturbed Control Systems with Time-Delay[J].Journal of Jilin University: Sci Ed,2015,53(5):863-867. |
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| Authors: | SUN Fengqi |
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| Institution: | College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China |
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| Abstract: | The author analyzed the problem of guaranteed cost control for singularly perturbed systems with time invarying time delay via Lyapunov stability theory and with the help of matrix analysis method.Based on a new quadratic L Y performance index, the sufficient quadratic stability conditions, state feedback guaranteed cost control rate and the guaranteed cost index were presented by showed LMIs, and the minimum performance indicationupper bound was derived. |
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| Keywords: | time delay system linear matrix inequality(LMI) Lyapunov Krasovskii functional delay dependent guaranteed cost control rate optimal control Schur complement lemma |
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