作　　者： ; ;

机构地区： 汕头大学工学院机械电子工程系

出　　处： 《信息与控制》 2006年第6期769-774,共6页

摘　　要： 研究了基于多输入多输出离散时间系统的给定阶控制器l1优化设计问题.基于You la参数化法,对自由参数Q分为多项式和有理多项式两种情况进行了讨论,并将有理式的情形转化为多项式的形式,最后将给定阶的控制器优化问题归结为求解标准的线性规划问题.在给定控制器阶次的条件下,得到使闭环系统内部稳定并使相应的l1范数最小的最优控制器.最后给出了算例来验证算法的有效性.* The problem of l1 optimization design for given order controller based on multiple input-multiple output （MIMO） discrete-time system is studied. Based on Youla parameterization, the free parameter Q is discussed for two cases, i.e. , polynomial and rational polynomial, and the rational case is translated into the polynomial one ; eventually, the optimization problem of given order controller is transformed into solving the problem of standard linear programming. Given the controller＇s order, the optimal controller is obtained which enables the closed-loop system to be internally stabilized and the corresponding l1 norm to be minimized. Finally, an example is presented to illustrate the validity of the algorithm.

关 键 词： 给定阶 控制 最优控制 控制器 线性规划

领　　域： [自动化与计算机技术] [自动化与计算机技术]