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
  • [11] FU M Y, XIE L H., The sector bound approach to quantized feedback control, IEEE Transactions on Automatic Control, 50, 11, pp. 1698-1711, (2005)
  • [12] MARTINS N C, DAHLEH M A, ELIA N., Feedback stabilization of uncertain systems in the presence of a direct link, IEEE Transactions on Automatic Control, 51, 3, pp. 438-447, (2006)
  • [13] ELIA N, EISENBEIS J N., Limitations of linear control over packet drop networks, IEEE Transactions on Automatic Control, 56, 4, pp. 826-841, (2011)
  • [14] LU J, SU W., Mean-square stabilizability vs. signal-to-noise ratio, channel induced delay and packet dropout, Proceedings of 2020 Chinese Control and Decision Conference, pp. 838-844, (2020)
  • [15] SINOPOLI B, SCHENATO L, FRANCESCHETTI M, Et al., Kalman filtering with intermittent observations, IEEE Transactions on Automatic Control, 49, 9, pp. 1453-1464, (2004)
  • [16] WONHAMWM, On a matrix Riccati equation of stochastic control, SIAM Journal on Control and Optimization, 6, 4, pp. 681-697, (1968)
  • [17] WILLEMS J, BLANKENSHIP G., Frequency domain stability criteria for stochastic systems, IEEE Transactions on Automatic Control, 16, 4, pp. 292-299, (1971)
  • [18] LU J, SKELTON R E., Mean-square small gain theorem for stochastic control: discrete systems, IEEE Transactions on Automatic Control, 47, 3, pp. 490-494, (2002)
  • [19] SU Weizhou, LIU Guangming, Survey of linear discrete-time stochastic control systems with multiplicative noises, Control Theory & Applications, 30, 8, pp. 929-946, (2013)
  • [20] QI T, CHEN J, SUWZ, Et al., Control under stochastic multiplicative uncertainties: part I, fundamental conditions of stabilizability, IEEE Transactions on Automatic Control, 62, 3, pp. 1269-1284, (2017)
123