一类输出受限非线性系统的降维非递归预设性能控制策略  

Reduced-order nonrecursive prescribed performance control strategy for nonlinear systems with output constraints

作　　者：葛静 张传林 董鑫 冒建亮 曹忠昆 GE Jing;ZHANG Chuan-lin;DONG Xin;MAO Jian-liang;CAO Zhong-kun(Department of Automation Engineering,Shanghai University of Electric Power,Shanghai 200090,China;School of Electronic Information and Electrical Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海电力大学自动化工程学院,上海200090 [2]上海交通大学电子信息与电气工程学院,上海200240

出　　处：《控制理论与应用》2024年第7期1225-1234,共10页Control Theory & Applications

基　　金：国家自然科学基金项目(62173221,62203292)资助。

摘　　要：针对一类非匹配受扰非线性系统在输出受限条件下的跟踪控制问题,本文在预设性能控制过程中引入非递归设计框架,提出了一种降维非递归预设性能控制方案,以缓解常用的递归预设性能控制过程中出现的复杂性爆炸问题,大幅简化了系统的控制器设计过程,便于实际工程应用.本文设计的降维非递归控制策略能够实现控制器设计过程与稳定性分析的分离,并且具有控制器形式简洁、控制参数选取机制简单的优点.最后,选取具有代表性的数值仿真和永磁同步电机位置跟踪控制实验阐释了所提出的控制策略的有效性及简洁性.Aiming at the challenging tracking control problem of a class of nonlinear systems with mismatched disturbances in the case of inherent output constraints,this paper investigates a nonrecursive design framework in the process of prescribed performance control.A reduced-order nonrecursive prescribed performance control scheme is proposed to alleviate the complexity explosion problem in the process of common recursive prescribed performance control.Compared with the common recursive methods,the proposed strategy significantly simplifies the system's controller design process,making it highly suitable for practical engineering applications.The proposed reduced-order nonrecursive control strategy not only realizes the separation of controller design process and stability analysis but also exhibits the notable advantages of a simple controller form and concise control parameter selection guidelines.Finally,a representative numerical simulation and the position tracking control experiment of permanent magnet synchronous motor(PMSM)system verify the effectiveness and simplicity of the proposed reduced-order nonrecursive control strategy.

关 键 词：非递归控制 预设性能 非匹配干扰 输出受限 非线性系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]