扩大饱和不确定系统吸引域的线性矩阵不等式方法  

Linear matrix inequality approach to enlarging domain of attraction for systems subject to actuator saturation and uncertainties

作　　者：魏爱荣[1] 赵克友[2] 

机构地区：[1]山东大学控制科学与工程学院,山东济南250061 [2]青岛大学自动化工程学院,山东青岛266071

出　　处：《山东大学学报（工学版）》2006年第3期30-33,共4页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金资助项目(60174040)

摘　　要：运用饱和状态反馈,给出了估计扩大控制饱和不确定连续/离散系统吸引域的方法,对这两种情况建立了适用于控制器设计的线性矩阵不等式条件,解相应的受限优化问题,得到系统的最大吸引域和状态反馈增益,并用算例说明了方法的有效性.Presents a method for enlarging the domain of attraction of the origin for continuous-time/discretetime systems with actuator saturation and uncertainties via a saturated linear feedback. Linear matrix inequalities（LMIS） based conditions are established for both case, which can easily be used for controller synthesis. The problem of designing linear state feedback laws such that the domain of attraction is enlarged is formulated and solved as an optimization problem with LMI constraints. The effectiveness of the developed method is illustrated with example.

关 键 词：执行器饱和 稳定性 吸引域 不变集 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]