一类线性离散切换系统的迭代学习控制

卜旭辉; 余发山; 侯忠生; 王福忠

doi:10.3724/SP.J.1004.2013.01564

一类线性离散切换系统的迭代学习控制

doi: 10.3724/SP.J.1004.2013.01564

1.
河南理工大学电气工程与自动化学院焦作 454003;
2.
北京交通大学电子信息工程学院北京 100044

计量
- 文章访问数: 1551
- HTML全文浏览量: 110
- PDF下载量: 1262
- 被引次数: 0
出版历程
- 收稿日期: 2011-07-11
- 修回日期: 2013-03-27
- 刊出日期: 2013-09-20

Iterative Learning Control for a Class of Linear Discrete-time Switched Systems

1.
School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China;
2.
Advanced Control Systems Laboratory, School of Electronics and Information Engineering, Beijing Jiaotong University, Beijing 100044, China

Funds:

Supported by National Natural Science Foundation of China (61203065, 61120106009), the Program of Natural Science of Henan Provincial Education Department (12A510013), and the Program of Open Laboratory Foundation of Control Engineering Key Discipline of Henan Provincial High Education (KG 2011-10)

More Information

Corresponding author: BU Xu-Hui

摘要

摘要: 考虑具有任意切换序列线性离散切换系统的迭代学习控制问题. 假设切换系统在有限时间区间内重复运行, P型ILC算法可实现该类系统在整个时间区间内的完全跟踪控制. 采用超向量方法给出了算法在迭代域内收敛的条件, 并在理论上分析了的收敛性. 仿真示例验证了理论的结果.
- 迭代学习控制 /
- 切换系统 /
- 跟踪控制
Abstract: In this paper, the iterative learning control (ILC) is considered for a class of linear discrete-time switched systems with arbitrary switching signals. It is assumed that the switched system is operated during a finite time interval repetitively, and then the first order P-type ILC scheme can be used to achieve perfect tracking over the whole time interval. By the super vector approach, a convergence condition for such ILC systems in the iteration domain can be given. The theoretical analysis is supported by simulations.
- Iterative learning control (ILC) /
- switched systems /
- tracking

HTML全文

参考文献(21)

[1]	Branicky M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control, 1998, 43(4): 475-482
[2]	Liberzon D, Morse A S. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine, 1999, 19(5): 59-70
[3]	Lee S H, Kim T H, Lim J T. A new stability analysis of switched systems. Automatica, 2000, 36(6): 917-922
[4]	Lian J, Zhao J. Robust H∞ control of uncertain switched systems: a sliding mode control design. Acta Automatica Sinica, 2009, 35(7): 965-975
[5]	Bemporad A, Morari M. Control of systems integrating logic, dynamics, and constraints. Automatica, 1999, 35(3): 407-427
[6]	Hespanha J P. Uniform stability of switched linear systems: extensions of Lasalle's invariance principle. IEEE Transactions on Automatic Control, 2004, 49(4): 470-482
[7]	Ji Z J, Feng G, Guo X X. A constructive approach to reachability realization of discrete-time switched linear systems. Systems and Control Letters, 2007, 56(11-12): 669-677
[8]	Liberzon D. Switching in Systems and Control. Boston, MA: Birkhauser, 2003
[9]	Ji Z J, Wang L, Guo X X. Design of switching sequences for controllability realization of switched linear systems. Automatica, 2007, 43(4): 662-668
[10]	Cheng D Z. Controllability of switched bilinear systems. IEEE Transactions on Automatic Control, 2005, 50(4): 511-515
[11]	Hespanha J P, Liberzon D, Angeli D, Sontag E D. Nonlinear norm-observability notions and stability of switched systems. IEEE Transactions on Automatic Control, 2005, 50(2): 154-168
[12]	Sun Z D, Ge S S. Analysis and synthesis of switched linear control systems. Automatica, 2005, 41(2): 181-195
[13]	Xu X P, Antsaklis P J. Optimal control of switched systems based on parameterization of the switching instants. IEEE Transactions on Automatic Control, 2004, 49(1): 2-16
[14]	Liberzon D, Hespanha J P, Morse A S. Stability of switched systems: a Lie-algebraic condition. System Control Letters, 1999, 37(3): 117-122
[15]	Arimoto S, Kawamura S, Miyazaki F. Bettering operation of robots by learning. Journal of Robotic Systems, 1984, 1(2): 123-140
[16]	Chi R H, Hou Z S, Xu J X. Adaptive ILC for a class of discrete-time systems with iteration-varying trajectory and random initial condition. Automatica, 2008, 44(8): 2207-2213
[17]	Meng D Y, Jia Y M, Du J P, Yu F S. Stability analysis of continuous-time iterative learning control systems with multiple state delays. Acta Automatica Sinica, 2010, 36(5): 696-703
[18]	Ahn H S, Chen Y Q, Moore K L. Iterative learning control: brief survey and categorization. IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews, 2007, 37(6): 1099-1121
[19]	Chi R H, Sui S L, Hou Z S. A new discrete-time adaptive ILC for nonlinear systems with time-varying parametric uncertainties. Acta Automatica Sinica, 2008, 34(7): 805-808
[20]	Sun M X, Wang D W. Initial shift issues on discrete-time iterative learning control with system relative degree. IEEE Transactions on Automatic Control, 2003, 48(1): 144-148
[21]	Bu X H, Yu F S, Hou Z S, Wang F Z. Iterative learning control for a class of nonlinear systems with random packet losses. Nonlinear Analysis: Real World Applications, 2013, 14(1): 567-580