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非线性时滞广义系统的弹性保性能控制
引用本文:胡南辉.非线性时滞广义系统的弹性保性能控制[J].嘉应学院学报,2009,27(6):37-42.
作者姓名:胡南辉
作者单位:嘉应学院,数学学院,广东,梅州,514015
摘    要:针对一类带有非线性摄动的不确定时滞广义系统,采用线性矩阵不等式(LMI)处理方法,研究了此类系统的二次稳定性问题,同时对此类系统的弹性保性能控制问题进行了研究,得出了时滞相关的充分条件。所设计的保性能控制器保证了相应的闭环系统达到鲁棒稳定,也保证闭环成本不超过某个界。最后通过举例说明了本文所给方法的正确性。

关 键 词:广义系统  非线性摄动  保性能控制  弹性控制器  时滞相关  LMI

Guaranteed Cost Resiliently Control of Uncertainty Singular Systems with State Delay
HU Nan-hui.Guaranteed Cost Resiliently Control of Uncertainty Singular Systems with State Delay[J].Journal of Jiaying University,2009,27(6):37-42.
Authors:HU Nan-hui
Institution:HU Nan - hui (School of Mathematics, Jiaying University, Meizhou 514015, China)
Abstract:The guaranteed cost robust control (GCC) problem is studied to a class of singular time- delay system with the nonlinear perturbation. Based on the linear matrix inequality (LMI) techniques, The quadratic stabili- ty of the nonlinear singular time- delay system is discussed, and the delay- dependent sufficient condition for the existence of guaranteed cost controllers is given, which makes the closed - loop systems stable, as well as guarantying the cost is bounded in a limitation. At last, some examples are presented to illustrate the validity of this approach.
Keywords:LMI
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