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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
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)
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
resource-constrained system
networked control systems
control and scheduling co-design
mixed logical dynamical system
increasing optimal sequence algorithm
