Delta算子不确定系统的多目标鲁棒H_∞控制  

Multi-objective robust H_∞ control for the delta operator formulated uncertain systems

作　　者：张端金[1] 王忠勇[1] 吴捷[2] 

机构地区：[1]郑州大学信息工程学院,河南郑州450052 [2]华南理工大学电力学院,广东广州510640

出　　处：《控制与决策》2003年第2期164-168,共5页Control and Decision

基　　金：国家自然科学基金资助项目 (6 0 174 0 2 5 ) ;中国博士后科学基金资助项目 ([2 0 0 0 ]31)

摘　　要：研究 Delta算子描述的线性不确定离散系统在区域极点配置约束下的鲁棒 H∞ 控制问题。目的是设计状态反馈控制器 ,使得闭环极点位于预先指定的圆形区域 ,且闭环系统传递函数的 H∞ 范数小于给定的正常数。基于 Delta算子系统具有 H∞ 范数界二次 D可镇定的概念 ,导出状态矩阵和输入矩阵均存在不确定性时 ,Delta算子系统具有 H∞ 范数界的鲁棒区域极点配置的充要条件及其状态反馈设计。研究结果表明 ,可将现有结果推广到更为一般的情形 ,并可统一处理连续与离散系统的相关问题。The problem of robust H∞ control for the delta operator formulated linear uncertain systems with circular pole constrains is studied. The state feedback controllers are designed such that the closed poles are located within a prespecified circular region, and the H∞ norm of the closed-loop transfer function is less than a given positive scalar or all admissible uncertainties. By introducing the definition of quadratic D stabilization with H∞ norm-bound for delta operator systems, sufficient and necessary conditions and the corresponding state feedback control law are developed. The proposed results can be regarded as extensions of existing results on robust H∞ control and robust pole assignment of delta operator uncertain systems.

关 键 词：不确定离散系统 DELTA算子 鲁棒H∞控制 区域极点配置 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]