CAJ | 학술논문

本文借助于功能函数研究了一类混沌系统的跟踪控制问题.首先,通过坐标变换将Chua’s混沌系统转换为一种严格反馈控制系统的通用形式.其次,结合自适应鲁棒控制技术和Backstepping方法设计了参数自适应控制律,对存在的不确定性和未知干扰的非线性系统实现了输出跟踪控制.基于Lyapunov稳定性理论对每一步的虚拟控制进行分步设计,得到的控制器不仅使系统输出跟踪给定的期望输出,而且使得系统对于所允许的不确定系统状态全局一致有界.最后,严格地理论证明表示了所设计方法的有效性.
본문차조우공능함수연구료일류혼돈계통적근종공제문제.수선,통과좌표변환장Chua’s혼돈계통전환위일충엄격반궤공제계통적통용형식.기차,결합자괄응로봉공제기술화Backstepping방법설계료삼수자괄응공제률,대존재적불학정성화미지간우적비선성계통실현료수출근종공제.기우Lyapunov은정성이론대매일보적허의공제진행분보설계,득도적공제기불부사계통수출근종급정적기망수출,이차사득계통대우소윤허적불학정계통상태전국일치유계.최후,엄격지이론증명표시료소설계방법적유효성.
In this paper,an approach for a class of chaotic system is proposed using adaptive backstepping with tuning functions.Firstly,based on coordinate transform,the paper deduced the principle with which Chua's chaotic system can be translated into the so-called general strict-feedback form.Secondly,an adaptive parameter control law combining robust control technology with the backstepping method is developed and thus the output tracking is successfully accomplished for the system with unknown parameters and dynamic uncertainties.It is proved that the derived robust adaptive controller based on Lyapunov stability theory can guarantee that all states of the closed-loop system are globally uniformly ultimately bounded,and lead the system tracking error to a small neighborhood.Finally the results are provided to show the effectiveness of the proposed approach.