不确定时滞广义系统的H_∞保性能控制  

H_∞ guaranteed cost control for singular system with state delay and parameter uncertainty

作　　者：胡南辉[1] 金朝永[1] 陈德银[1] 

机构地区：[1]广东工业大学应用数学学院,广东广州510006

出　　处：《电机与控制学报》2008年第3期331-336,共6页Electric Machines and Control

基　　金：教育部高等学校博士学科点专项科研基金(20050562003)

摘　　要：针对一类具有范数有界不确定性的连续时滞广义系统,采用线性矩阵不等式处理方法,研究了具有鲁棒H∞性能的保性能控制问题,并给出了问题可解的一个充分条件和H∞保性能控制器的设计,使得闭环系统不仅对于容许的参数不确性保持正则、稳定、无脉冲,而且能保证闭环系统的二次性能指标具有某一个上界以及给定的H∞性能γ。进一步,通过求解一个凸优化问题,给出了系统的H∞最优保性能控制器的设计方法。算例和仿真结果表明该方法的正确性和可行性。The design of robust H∞ guaranteed cost controller was studied for a class of norm bounded uncertain singular systems. Based on the linear matrix inequalities（LMI） approach,a sufficient condition is presented for the existence of H∞ guaranteed cost controller. The close-loop system satisfies a given attenuation disturbance H∞ performance γ,provides a guaranteed cost and keeps regular, causal and stable for all admissible uncertainties. On this basis, the design problem of the optimal H∞ guaranteed cost controller for the systems is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques. Finally, a numerical example is presented to illustrate the feasibility and validity of this approach.

关 键 词：广义系统 时滞 不确定性 H∞控制 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]