| 一种时滞相关非脆弱模糊控制器的设计 |
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| 引用本文： | 张果,庄淑君,段春霞,赵艳花.一种时滞相关非脆弱模糊控制器的设计[J].系统工程与电子技术,2012,34(1):149-153. |
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| 作者姓名： | 张果 庄淑君 段春霞 赵艳花 |
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| 作者单位： | 洛阳理工学院电气工程与自动化系, 河南 洛阳 471023 |
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| 基金项目： | 河南省科技厅科技攻关项目(112102210494);河南省教育厅自然科学研究计划项目(2011B120007)资助课题 |
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| 摘 要： | 研究了一类带有时变时滞的离散模糊双线性系统的时滞相关非脆弱控制问题。引入自由权值矩阵并定义一种新型的Lyapunov函数，在控制器存在加性不确定的情况下，得到了保守性小的时滞相关渐近稳定的充分条件。通过附加矩阵，将所得到的稳定条件转换为线性矩阵不等式(linear matrix inequality, LMI)形式，非脆弱控制器可由LMI的解得到。数例仿真验证了该方法的有效性。
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| 关 键 词： | 离散模糊双线性系统 非脆弱控制 时滞相关 线性矩阵不等式 |
Design of delay-dependent non-fragile fuzzy controllers |
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| ZHANG Guo,ZHUANG Shu-jun,DUAN Chun-xia,ZHAO Yan-hua.Design of delay-dependent non-fragile fuzzy controllers[J].System Engineering and Electronics,2012,34(1):149-153. |
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| Authors: | ZHANG Guo ZHUANG Shu-jun DUAN Chun-xia ZHAO Yan-hua |
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| Institution: | Department of Electrical Engineering and Automation, Luoyang Institute of Science and Technology, Luoyang 471023, China |
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| Abstract: | A method of delay-dependent non-fragile controllers for a class of discrete-time fuzzy bilinear systems with time-varying delay is presented.Based on constructing a new Lyapunov function and free weighting matrices,an improved delay-dependent stability condition is obtained and the closed-loop system is asymptotically stable in the presence of the additive controller gain perturbations.By introducing an additional matrix,the proposed stabilization conditions are formulated in terms of linear matrix inequalities(LMI),and the non-fragile controllers can be solved by LMI.Simulation results demonstrate the effectiveness of the proposed method. |
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| Keywords: | discrete-time fuzzy bilinear system non-fragile control delay-dependent linear matrix inequality(LMI) |
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