信息与控制2013，Vol.42Issue(4)：437-442,6.DOI:10.3724/SP.J.1219.2013.00437
状态饱和奇异离散线性系统的稳定性分析与控制律综合
Stability Analysis and Controller Synthesis for Singular Discrete Linear Systems with State Saturation
摘要
Abstract
The problem of stability analysis and state feedback controller synthesis tor singular discrete linear systems with state saturation is studied.By introducing a free matrix whose infinity norm is less than or equal to 1,the state variables under saturation constraint are confined in a convex hull whose vertexes are associated with this free matrix.Based on this,the original stability problem of singular discrete systems with state saturation nonlinearity is transformed into the robust stability analysis problem of linear singular discrete systems with polytopic type uncertain parameters.With the introduction of a free matrix to draw the relationship between algebraic subsystem variables and difference subsystem variables,a sufficient criterion for discrete linear singular systems with state saturation to be regular,causal and asymptotically stable,is obtained in terms of matrix inequalities.The corresponding state feedback control law synthesis algorithm is also given.The obtained stability criterion and controller design algorithm are given in terms of matrix inequalities that can be solved using the presented iterative linear matrix inequality algorithm.Numerical examples are used to show that the presented method is applicable and effective.关键词
奇异系统/离散系统/状态饱和/迭代线性矩阵不等式Key words
singular system/ discrete system/ state saturation/ iterative linear matrix inequality分类
信息技术与安全科学引用本文复制引用
嵇小辅,朱湘临..状态饱和奇异离散线性系统的稳定性分析与控制律综合[J].信息与控制,2013,42(4):437-442,6.基金项目
国家自然科学基金资助项目(60904011) （60904011）
江苏省自然科学基金资助项目(BK2011465) （BK2011465）
教育部高等学校博士学科点专项科研基金资助项目(20093227120010) （20093227120010）
江苏高校优势学科建设工程资助项目(苏政办发[2011]6号). （苏政办发[2011]6号）
