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不确定时滞模糊广义系统的H_∞保性能控制

Guaranteed Cost H_∞ Control for Fuzzy Descriptor Systems with Time-Delay and Uncertain Parameters
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摘要 针对控制系统中的不确定和时滞会导致系统的不稳定性和较差的系统性能,研究不确定时滞广义T-S模糊系统的鲁棒H∞保性能控制问题.利用李亚普诺夫稳定性理论证明了使闭环系统渐进稳定并具有某种性能指标上界以及给定的H∞性能γ的充分条件,并用严格线性矩阵不等式方法表示了这些充分条件,从而可以通过解矩阵不等式容易地获得状态反馈增益矩阵,算例说明所提方法有效和可行. For the peculiarity of causing the instability and poor performance by uncertainty and timedelay in control system, the problem of guaranteed cost H∞ control is studied for T-S fuzzy descriptor systems with time-delay and uncertain parameters. According to the theory of Lyapunov, the sufficient conditions are proved to maintain the stability of the closed-loop system, keep the H∞ performance and provide a guaranteed cost. These conditions are expressed via strict linear matrix inequalities（LMIs）. So the feedback gain matrix can be obtained easily by solving the LMIs. The effectiveness and feasibility are verified by an example.
作者 李丽 张庆灵
机构地区 渤海大学数学系 东北大学系统科学研究所
出处 《大连交通大学学报》 CAS 2008年第6期7-11,共5页 Journal of Dalian Jiaotong University
基金 国家自然科学基金资助项目(60574011)
关键词 T-S模糊广义系统 时滞 鲁棒H∞控制 严格线性矩阵不等式 T- S fuzzy descriptor systems timedelay robust H∞ control strict linear matrixinequality
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献7

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二级参考文献16

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共引文献11

大连交通大学学报
2008年 第6期

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