Mean-square optimal asymptotic tracking for networked systems over lossy channels

被引：0
|
作者：
Lu J.-Y. [1 ]
Li J.-H. [1 ]
Su W.-Z. [1 ]
机构：
[1] College of Automation Science and Technology, South China University of Technology, Guangzhou
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2021年 / 38卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Asymptotic tracking; Mean-square optimal control; Multiplicative noise; Networked control; Packet loss;
D O I：
10.7641/CTA.2021.10730
中图分类号：
学科分类号：
摘要：
For a networked feedback control system with packet loss in the communication channel, the multiplicative noise model is used to describe the channel uncertainty induced by packet loss. According to features of the networked system, a new controller structure is proposed for the asymptotic tracking problem of the networked system. The meansquare stabilizability of the system under this structure is studied. And then the equivalence between the optimal asymptotic tracking and the mean-square stabilizability is studied. On this basis, the stochastic mean-square optimal control theory is used to solve the mean-square optimal asymptotic tracking design for the system, which depends on the mean-square stabilizing solution of a modified algebraic Riccati equation (MARE). Further, we propose a new algorithm for searching the mean-square stabilizing solution to the MARE. Finally, the simulation results verify the effectiveness and feasibility of the method proposed in this paper for the optimal asymptotic tracking problem of the networked feedback system over the lossy channel. © 2021, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.
引用
收藏
页码：1761 / 1771
页数：10
相关论文
共 28 条
  • [1] ANTSAKLIS P, BAILLIEUL J., Special issue on technology of networked control systems, Proceedings of the IEEE, 95, 1, pp. 5-8, (2007)
  • [2] ZHANG X, HAN Q, YU X., Survey on recent advances in networked control systems, IEEE Transactions on Industrial Informatics, 12, 5, pp. 1740-1752, (2016)
  • [3] CHEN J, KARL H, STEPHAN O., Special issue on wireless sensor and actuator networks, IEEE Transactions on Automatic Control, 56, 10, pp. 2244-2246, (2011)
  • [4] LI J H, LU J Y, SUWZ, Stabilizing control of a class of discrete-time systems with random delay, Proceedings of the 36th Chinese Control Conference, pp. 7787-7792, (2017)
  • [5] SU W Z, LU J Y, LI J H., Mean-square stabilizability of a SISO linear feedback system over a communication channel with random delay, Proceedings of 2017 Chinese Automation Congress, pp. 6965-6970, (2017)
  • [6] ELIA N., Remote stabilization over fading channels, Systems & Control Letters, 54, 3, pp. 237-249, (2005)
  • [7] XIAO N, XIE L H, QIU L., Feedback stabilization of discrete-time networked systems over fading channels, IEEE Transactions on Automatic Control, 57, 9, pp. 2176-2189, (2012)
  • [8] NAIR G, FAGNANI F, ZAMPIERI S, Et al., Feedback control under data rate constraints: an overview, Proceedings of the IEEE, 95, 1, pp. 108-137, (2007)
  • [9] ISHII H, BASAR T, TEMPO R., Randomized algorithms for quadratic stability of quantized sampled-data systems, Proceedings of 2003 American Control Conference, pp. 5046-5051, (2003)
  • [10] ELIA N, MITTER S K., Stabilizing a linear system with limited information, IEEE Transactions on Automatic Control, 46, 9, pp. 1384-1400, (2001)
123