具有瑞利平坦衰落信道的线性系统线性二次高斯控制  

Linear-quadratic-Gaussian control of linear system with Rayleigh flat fading channel

作　　者：田垠[1,2] 章辉[1,2] 

机构地区：[1]浙江大学工业控制技术国家重点实验室 [2]控制科学与工程学系,浙江杭州310027

出　　处：《控制理论与应用》2013年第11期1384-1391,共8页Control Theory & Applications

基　　金：国家自然科学基金资助项目(61174063)

摘　　要：网络化控制系统中的通信约束问题一直是人们关注的焦点.本文讨论了具有信号衰落约束的线性系统的线性二次高斯(LQG)控制问题,其中系统输出经放大后通过瑞利平坦衰落信道传输到控制器.针对控制器与通信信号放大设计的折中问题,本文在系统二次型性能指标中进一步考虑通信过程的能量消耗,并基于离线设计放大系数,给出了有限时域下控制信号与放大系数的设计方法.对于线性定常系统,采用本文方法设计得到的放大系数在时间趋于无穷时将为常数,基于此,本文进一步将方法推广到无限时域情形.仿真结果说明了本文方法的有效性及其性能.In networked control systems, communication constrains have been the focus of study for a long time. This paper studies the linear quadratic Gaussian （LQG） control of linear systems under fading constraints, where the outputs of systems are assumed to be amplified and transmitted to the controller over a Rayleigh fiat fading channel. Aiming at the tradeoff between controller design and signal amplification, we add an item concerning communication power into the LQG cost function and then derive the controller and amplification factor in a finite horizon, based on the off-line design of amplification factor. With the proposed method, the designed amplification factor turns to a constant for linear time- invariant systems as time approaches infinity. This result inspires us to extend our method to infinite horizon. Simulation results illustrate the effectiveness and performance of our method.

关 键 词：LQG控制 信号放大 衰落 折中 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]