一类非线性不确定时滞系统的时滞相关保性能鲁棒控制  

The Guaranteed Cost Robust Control of Delay-dependent for a Class of Nonlinear Systems with Time-delay and Uncertainty

作　　者：胡南辉[1] 金朝永[1] 罗亮[1] 

机构地区：[1]广东工业大学应用数学学院,广州广东510090

出　　处：《广东工业大学学报》2007年第4期30-34,37,共6页Journal of Guangdong University of Technology

摘　　要：针对一类带有非线性摄动的不确定时滞系统,采用线性矩阵不等式处理方法,利用稳定性理论,给出了系统的鲁棒保性能状态反馈控制器存在的条件.所设计的保性能控制器保证了对所有容许的不确定性不仅使得相应的闭环系统达到鲁棒稳定,也能保证闭环成本不超过某个界.举例说明了所给方法的正确性.The guaranteed cost robust control （GCC） problem is studied regarding a class of nonlinear systems with time-delay and uncertainty. Based on the LMI and Lyapunov stability theory,the existing conditions of the guaranteed cost controllers are given, which make the closed-loop systems stable for all admissible uncertainties, guaranteeing the cost bounded in a limitation. At last, some examples are presented to illustrate the validity of this approach.

关 键 词：非线性摄动 不确定性时滞系统 时滞相关 保性能控制 线性矩阵不等式LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]