基于粒子群优化设计算法的输出跟踪控制  

Design of Model Reference Tracking Controller Based on Particle Swarm Optimization Algorithm

作　　者：杨艳萍[1] 张大伟[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《自动化技术与应用》2016年第1期8-13,25,共7页Techniques of Automation and Applications

摘　　要：研究了线性系统的基于观测器的输出跟踪控制问题。本文的输出跟踪控制的目标是设计一个基于观测器的跟踪控制器使得线性系统的输出尽可能地跟踪参考模型的输出。应用粒子群优化技术和线性矩阵不等式技术,提出了一个跟踪控制设计算法来同时获得最小的H_∞跟踪性能,以及相应的控制器增益和观测器增益。现有的输出跟踪控制设计方法中,Lyapunov矩阵变量通常选为对角块形式来建立基于线性矩阵不等式的设计结论。不同于这些方法 ,本文所提的设计算法去掉了Lyapunov矩阵变量的对角块约束,可以有效地降低设计的保守性。通过仿真实验说明所提算法的有效性和优越性。The problem of observer-based output tracking control for a linear system is studied. The object of output tracking control in this paper is to design an observer-based tracking controller such that the output of the linear system can follow the output of a reference model as close as possible. Applying particle swarm optimization technique and linear matrix inequality technique, a tracking control design algorithm is presented to obtain the minimum H∞ tracking performance, and the corresponding control gains and observer gains simultaneously. In the existing output tracking control design methods, Lyapunov matrix variables are usually chosen to be diagonaled to establish some LMI-based design results. Unlike these methods, the diagonal constraint on Lyapunov matrix variables is removed in the proposed design algorithm, it can reduce the conservatism effectively. A numerical example is provided to show the validity and superiority of the proposed algorithm.

关 键 词：输出跟踪控制 粒子群优化算法 观测器 H∞控制 

分 类 号：TP24[自动化与计算机技术—检测技术与自动化装置]