基于切换的非线性多模型二阶段广义预测控制  

Nonlinear multi-model second level generalized predictive control based on switching

作　　者：宋红超 王昕[2] 王振雷[1] SONG Hong-chao;WANG Xin;WANG Zhen-lei(Key Laboratory of Smart Manufacturing in Energy Chemical Process,Ministry of Education,East China University of Science and Technology,Shanghai 200237,China;Electrical and Electronic Experimental Teaching Center,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]华东理工大学能源化工过程智能制造教育部重点实验室,上海200237 [2]上海交通大学电工与电子技术中心,上海200240

出　　处：《控制理论与应用》2024年第11期2147-2156,共10页Control Theory & Applications

基　　金：国家重点研发计划课题项目(2022YFB3304701);国家自然科学基金重大课题项目(62293504);国家自然科学基金面上项目(62173147);上海市科委高新技术领域项目(22DZ1101500);中央高校基本科研业务费专项资金资助.

摘　　要：针对一类参数跳变引起零动态不稳定的非线性离散时间系统,本文提出一种基于误差切换策略的非线性多模型二阶段广义预测控制器设计方法.首先,将未知参数的空间划分为多个子集,并在每个子集中建立多个非线性预测模型,并对未知参数进行辨识;进而,利用带约束的二阶段自适应方法获得每个子集虚拟模型的参数估计值,并以此计算对应的广义预测控制作用,从而更好的处理零动态不稳定问题:为了有效改善参数跳变对系统的影响,利用模型输出误差性能指标选取每一时刻最优的广义预测控制器控制非线性系统,并进行稳定性分析.最后,通过对比现存方法的仿真结果表明本文所提出的广义预测控制器有良好的跟踪性能和抗干扰能力.A nonlinear multiple models second-level generalized predictive controller design method based on an error switching strategy is proposed for a class of nonlinear discrete-time systems with zero dynamic instability caused by parameter jumps.Initially,the space of unknown parameters is divided into multiple subsets,and multiple nonlinear prediction models are established in each subset,with the identification of unknown parameters.Subsequently,a second-level adaptive method with constraints is utilized to obtain the parameter estimates of each subset of the virtual model,and the corresponding generalized predictive control effect is calculated to address the zero dynamic instability issue more effectively.To mitigate the impact of parameter jumps on the system,the model output error performance index is employed to select the optimal generalized predictive controller for controlling the nonlinear system at each moment,followed by stability analysis.Ultimately,simulation results,when compared with existing methods,demonstrate that the proposed generalized predictive controller exhibits excellent tracking performance and anti-interference capabilities.

关 键 词：非线性系统 多模型 二阶段自适应 广义预测控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]