摘要
研究一类广义大型互联线性系统的迭代学习控制问题。借助于矩阵奇异值分解的方法,将该类系统转化为等价的微分代数系统。再结合微分代数系统的特点,构建得到一种D-P型的学习控制算法。在该算法的作用下,系统的状态能一致收敛于相应的期望轨迹。最后,数值仿真说明了算法的有效性。
This paper studies the iterative learning control problem for singular large-scale interconnected linear systems. Through decomposing matrix singular value, the generalized systems are equivalently resolved into differential algebraic systems. According to the characteristics of differential algebraic systems, the D-P type algorithm is constructed. In this algorithm, the system states can converge to the desired trajectory accordingly. Finally, a numerical example shows the effectiveness of the proposed algorithm.
作者
杜莉莉
傅勤
顾盼盼
李向东
DU Lili;FU Qin;GU Panpan;LI Xiangdong(School of Mathematics and Physics,SUST,Suzhou 215009,China;College of Automation Science and Technology,South China University of Technology,Guangzhou 510640,China)
出处
《苏州科技大学学报(自然科学版)》
CAS
2019年第2期25-31,共7页
Journal of Suzhou University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(11371013)
苏州科技大学自然科学基金资助项目(XKZ201613)
关键词
广义大型互联线性系统
迭代学习控制
矩阵分解
D-P型算法
singular large-scale interconnected linear systems
iterative learning control
matrix factorization
D-P type algorithm