非线性系统无需初始条件预设性能有界H_(∞)容错控制  

Prescribed performance bounded-H_(∞)fault-tolerant control regardless of initial condition for nonlinear systems

作　　者：李小华[1] 程鸿展 刘辉 LI Xiao-hua;CHENG Hong-zhan;LIU Hui(School of Electrons and Information Engineering,University of Science and Technology,Anshan Liaoning 114051,China)

机构地区：[1]辽宁科技大学电子与信息工程学院,辽宁鞍山114051

出　　处：《控制理论与应用》2024年第2期273-282,共10页Control Theory & Applications

基　　金：国家自然科学基金项目(U21A20483);吉林大学汽车仿真与控制国家重点实验室开放基金项目(20210219)资助.

摘　　要：针对一类具有外部扰动和传感器故障的非线性系统,本文研究了其自适应预设性能有界H_(∞) 容错控制问题.本文提出一种新的预设性能控制设计方法,使得预设性能函数的选择与系统被约束变量的初始状态完全无关,用一种全新的方式解决了传统预设性能方法的控制效果依赖被约束变量初始条件的问题.基于该设计方法和有界H_(∞) 控制方法,在未知系统初始条件的情况下获得了系统的自适应预设性能有界H_(∞) 控制器.本文所设计的控制器能够保证系统中的所有信号都是有界稳定的,系统的输出变量能够被预设性能函数约束,并且对于外部干扰具有很好的抑制作用.最后,仿真结果验证了该控制器的可行性及有效性.In this paper,the adaptive bounded-H_(∞) fault-tolerant control problem with prescribed performance is studied for a class of nonlinear systems with external disturbances and sensor faults.A new design method of prescribed performance control is proposed,which makes the selection of the prescribed performance function be completely independent of the initial state of the constrained variable in the system.The problem that the control effect of traditional prescribed performance control method depends on the initial condition of the constrained variable is solved by a novel way.Based on this design method and the bounded-H_(∞) control method,an adaptive prescribed performance bounded-H_(∞) controller is obtained under the unknown initial condition of the system.The designed controller can ensure that all the signals in the system are bounded stable,the output variable of the system can be constrained by the prescribed performance function,and the system has a better inhibition ability to external disturbances.Finally,the simulation results verify the feasibility and effectiveness of the proposed controller.

关 键 词：非线性系统 传感器故障 预设性能控制 无需初始条件 有界H_(∞)控制 容错控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]