| 离散非线性时滞系统的鲁棒耗散控制 |
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| 引用本文： | 曾涛,赵胜凯. 离散非线性时滞系统的鲁棒耗散控制[J]. 数学的实践与认识, 2010, 40(8) |
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| 作者姓名： | 曾涛 赵胜凯 |
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| 作者单位： | 北京交通大学电子信息工程学院,北京,100044 |
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| 摘 要： | 针对一类基于T-S模型表示的具有范数有界不确定性离散非线性时滞系统,研究了鲁棒耗散模糊控制问题.对可用T-S模糊模型表示的非线性时滞系统,考虑系统具有范数有界参数不确定性时,应用并行分布式控制方法,得到使得系统稳定且严格耗散的模糊耗散控制器存在的充分性条件.进而通过建立和求解LMI(线性矩阵不等式)约束的凸优化问题,给出了耗散控制律的设计方法.数值算例表明了此方法的可行性和有效性.
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| 关 键 词： | T-S模型 不确定性 耗散控制 LMI(线性矩阵不等式) |
Robust Dissipative Control for Discrete Nonlinear Delay Systems |
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| ZENG Tao,ZHAO Sheng-kai. Robust Dissipative Control for Discrete Nonlinear Delay Systems[J]. Mathematics in Practice and Theory, 2010, 40(8) |
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| Authors: | ZENG Tao ZHAO Sheng-kai |
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| Affiliation: | ZENG Tao,ZHAO Sheng-kai (School of Electronics , Information Engineering,Beijing Jiaotong University,Beijing 100044,China) |
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| Abstract: | The problem of designing a fuzzy dissipative controller is studied for a class of discrete nonlinear delay systems with norm-bounded uncertainty based on T-S model.For the nonlinear delay system which is based on T-S fuzzy mode,the sufficient condition is first derived for the existence of fuzzy dissipative controller.Furthermore,a convex optimization problem with LMI constraints is formulated to design the controller.Finally,a numerical example shows the feasibility and validity of this method. |
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| Keywords: | T-S model uncertainties dissipative control LMI(linear matrix inequality) |
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