随机分布系统保性能控制算法的研究  

Guaranteed cost control for stochastic distributed systems

作　　者：屈毅[1,2] 李锁牢[1] 张卫婷[1] QU Yi;LI Suo-lao;ZHANG Wei-ting(Department of Electrionics and Information Engineering,Xianyang Vocational Technical College,Xianyang 712000,China;College of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]咸阳职业技术学院电子信息学院,陕西咸阳712000 [2]兰州理工大学电气工程与信息工程学院,甘肃兰州730050

出　　处：《电子设计工程》2020年第6期35-39,44,共6页Electronic Design Engineering

基　　金：陕西省教育厅专项科学研究计划项目(17JK1169);咸阳职业技术学院博士科研启动基金项目。

摘　　要：针对随机分布系统保性能控制问题,采用平方根B样条逼近建立系统的静态模型,依据系统输入与系统状态之间的关系建立系统的动态模型;接着对系统保性能控制器进行了问题界定,提出保性能控制器算法设计的条件、线性矩阵不等式模型转算法和凸优化算法的设计思路以及性能指标函数的确定方法;最后通过计算机仿真实验验证,保性能控制算法具有较好的鲁棒性和追踪性,在满足性能指标的条件下,实现目标概率分布的追踪。In this paper,the problem of conservative control in discrete uncertain stochastic distributed systems with time-delay is mainly addressed.Firstly,the static model of stochastic distributed systems is established by square root B-spline approximation,and then the dynamic model of stochastic distributed systems is established according to the relationship between system input and system state.The definition of the problem,the design condition of guaranteed cost controller algorithm,the design idea of linear matrix inequality model transformation algorithm and convex optimization algorithm,and the determination of performance index function are proposed.Finally,the computersimulation experiments show thatguaranteed cost control algorithm has robustness and tracking performance,and can realize the output approximation of the system.Rate density function traces the target probability density function and satisfies the specified guaranteed cost index.

关 键 词：随机分布控制 概率密度函数 保性能控制 线性矩阵不等式 凸优化 

分 类 号：TN12[电子电信—物理电子学]