资源约束系统的控制与调度协同优化方法  

Optimal control and scheduling of system with resource constraints

作　　者：李祖欣[1,2] 王万良[2] 雷必成[2] 陈惠英[1,2] 

机构地区：[1]湖州师范学院信息工程学院,浙江湖州313000 [2]浙江工业大学信息工程学院,浙江杭州310032

出　　处：《控制理论与应用》2009年第1期97-102,共6页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60573123,60573056)

摘　　要：对于一类通信约束的网络控制系统,应用通信序列的概念和混合逻辑动态的构架,将其建模成一类集成控制和调度的资源约束系统模型.采用线性矩阵不等式来描述离散周期系统的周期通信序列和H∞控制的协同优化问题,并用一种递增优化序列算法来求解优化的调度策略及其相应的渐近稳定及r指数稳定的H∞控制器.该算法结合线性矩阵不等式凸优化问题解决了调度与控制的协同设计问题,同时也节省了搜索优化解的计算时间.By employing the notion of communication sequence and mixed-logical-dynamical （MLD） framework, a networked control system subject to communication constraints is modeled as a resource-constrained system under integrated control and scheduling. Linear matrix inequalities （LMIs） are used to depict the periodical communication sequence of the discrete-time linear periodic system, and the co-design criteria of the H-infinity controller. A recursively increasing optimal sequence algorithm, in conjunction with the convex optimization of the LMIs, is employed to find the optimal solutions for the scheduling strategy, and the control law for the H-infinity controller of asymptotical stability and r-exponential stability, respectively. The computational cost is greatly reduced.

关 键 词：资源约束系统 网络控制系统 控制与调度协同设计 混合逻辑动态系统 递增优化序列算法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]