A new approach on designing l1 optimal regulator with minimum order for SISO linear systems
Xiang LIU
摘要：For a SISO linear discrete-time system with a specified input signal, a novel method to realize optimal l1 regulation control is presented. Utilizing the technique of converting a polynomial equation to its corresponding matrix equation, a linear programming problem to get an optimal l1 norm of the system output error map is developed which includes the first term and the last term of the map sequence in the objective function and the right vector of its constraint matrix equation, respectively. The adjustability for the width of the constraint matrix makes the trade-off between the order of the optimal regulator and the value of the minimum objective norm become possible, especially for achieving the optimal regulator with minimum order. By norm scaling rules for the constraint matrix equation, the optimal solution can be scaled directly or be obtained by solving a linear programming problem with l1 norm objective.
机标关键词：
分类号：TP3(计算技术、计算机技术)
资助基金：中国科学院项目（非规范项目）(60274036)
论文发表日期：2006-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：4( 155-158 )
英文信息