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基于PSO与LMI优化的非线性模型预测控制
引用本文:苏成利,刘晓琴,李平,王树青.基于PSO与LMI优化的非线性模型预测控制[J].辽宁石油化工大学学报,2007,27(1):86-89.
作者姓名:苏成利  刘晓琴  李平  王树青
作者单位:1. 辽宁石油化工大学信息与控制工程学院,辽宁抚顺,113001
2. 工业控制技术国家重点实验室,浙江大学先进控制研究所,浙江杭州,310027
摘    要:将微粒群算法(PSO)与线性矩阵不等式(LMI)用于输入受限非线性预测控制器的设计,提出了基于PSO与LMI联合优化的非线性预测控制算法。算法采用双模控制策略,利用LMI离线优化确定终端不变区域,以扩大非线性优化的求解范围,降低算法的保守性。利用PSO在线优化求解非线性预测控制输入,以避免求解非线性规划问题,同时对算法的稳定性进行了分析。仿真结果表明了该算法是有效的、可行的。

关 键 词:微粒群优化  线性矩阵不等式  非线性预测控制  双模控制  终端区域
文章编号:1672-6952(2007)01-0086-04
收稿时间:2006-09-13
修稿时间:2006-12-15

Nonlinear Model Predictive Control Based on PSO and LMI Optimizing Algorithm
SU Cheng-li,LIU Xiao-qin,LI Ping,WANG Shu-qing.Nonlinear Model Predictive Control Based on PSO and LMI Optimizing Algorithm[J].Journal of Liaoning University of Petroleum & Chemical Technology,2007,27(1):86-89.
Authors:SU Cheng-li  LIU Xiao-qin  LI Ping  WANG Shu-qing
Abstract:Particle swarm optimization(PSO) and linear matrix inequality(LMI) were used for the design of input-constrained nonlinear predictive controller.A nonlinear predictive control algorithm based on PSO and LMI was proposed.The dual-mode control strategy was adopted in the algorithm.LMI was used for off-line optimization to determine a terminal invariant region to expend the solution extent of nonlinear optimization and decrease conservation degree of the algorithm;PSO was used for on-line solving nonlinear predictive control input to avoid solving nonlinear programming problems.The stability of the algorithm was analyzed.Simulation results show that the algorithm is efficient and feasible.
Keywords:Particle swarm optimization  Linear matrix inequality  Nonlinear predictive control  Dual- mode control  Terminal invariant region
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