非线性时滞广义系统的弹性保性能控制  

Guaranteed Cost Resiliently Control of Uncertainty Singular Systems with State Delay

作　　者：胡南辉[1] 

机构地区：[1]嘉应学院数学学院,广东梅州514015

出　　处：《嘉应学院学报》2009年第6期37-42,共6页Journal of Jiaying University

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。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.

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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]