State estimation of networked control systems over limited capacity and dropout channels

• Autorzy: Liu Qingquan , Ding Rui , Chen Chunqiang

Identyfikatory

DOI

10.24425/acs.2019.131232

• Języki publikacji: EN

Abstrakty

EN

This paper investigates state estimation of linear time-invariant systems where the sensors and controllers are geographically separated and connected over limited capacity, additive white Gaussian noise (AWGN) communication channels. Such channels are viewed as dropout (erasure) channels. In particular, we consider the case with limited data rates, present a necessary and sufficient condition on the data rate for mean square observability over an AWGN channel. The system is mean square observable if the data rate of the channel is larger than the lower bound given. It is shown in our results that there exist the inherent tradeoffs among the limited data rate, dropout probability, and observability. An illustrative example is given to demonstrate the effectiveness of the proposed scheme.

Słowa kluczowe

EN

linear time-invariant systems; limited capacity; observability; state estimation; networked control; data rate

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2019
• Tom: Vol. 29, No. 4
• Strony: 687--697
• Opis fizyczny: Bibliogr. 18 poz., rys., wykr., wzory

Twórcy

autor

Liu Qingquan

• College of Equipment Engineering, Shenyang Ligong University, Shenyang, China

autor

Ding Rui

• College of Equipment Engineering, Shenyang Ligong University, Shenyang, China

autor

Chen Chunqiang

• HaiXi Institutes, Chinese Academy of Science, Fuzhou, China

Bibliografia

• [1] G. N. Nair, F. Fagnani, S. Zampieri and R. J. Evans: Feedback control under data rate constraints: An overview. Proceedings of IEEE Special Iss. Emerg. Technol. Netw. Control Syst, USA: IEEE (2007), 108-137.
• [2] J. Hespanha, P. Naghshtabrizi and Y. Xu: A survey of recent results in networked control systems. Proceedings of IEEE Special Iss. Emerg. Technol. Netw. Control Syst, USA: IEEE (2007), 138-162.
• [3] J. Baillieul: Feedback designs for controlling device arrays with communication channel bandwidth constraints. Proceedings of ARO Workshop on Smart Structures, Pennsylvania State Univ, 1999, Aug.
• [4] J. Baillieul: Feedback designs in information based control. Proceedings of Stochastic Theory and Control Proceedings of a Workshop Held in Lawrence. Kansas, B. Pasik-Duncan, Ed. New York: Springer-Verlag, 2001, 35–57.
• [5] J. Baillieul: Data-rate requirements for nonlinear feedback control. Proceedings of 6th IFAC Symp. Nonlinear Control Syst., Stuttgart, Germany, 2004, 1277-1282.
• [6] G. N. Nair and R. J. Evans: Stabilizability of stochastic linear systems with finite feedback data rates. SIAM J. Control Optim., 43(2), (2004), 413–436.
• [7] N. Elia: When Bode meets Shannon: Control-oriented feedback communication schemes. IEEE Transactions on Automatic Control, 49(9), (2004), 1477-1488.
• [8] S. Tatikonda, A. Sahai and S. K. Mitter: Stochastic linear control over a communication channel. IEEE Transactions on Automatic Control, 49(9), (2004), 1549-1561.
• [9] K. Liu, E. Fridman and L. Hetel: Stability and L2-gain analysis of networked control systems under round-robin scheduling: A time-delay approach. Systems & control letters, 61(5), (2006), 666-675.
• [10] M. Sahebsara, T. Chen and S. L. Shah: Optimal H∞ filtering in networked control systems with multiple packet dropouts. Systems & control letters, 57(9), (2008), 696–702.
• [11] A. Gurt and G. N. Nair: Internal stability of dynamic quantized control for stochastic linear plants. Automatica, 45(6), (2009), 1387-1396.
• [12] T. Li and L. Xie: Distributed coordination of multi-agent systems with quantized-observer based encoding-decoding. IEEE Transactions on Automatic Control, 57(12), (2012), 3023-3037.
• [13] B. Xue, S. Li and Q. Zhu: Moving horizon state estimation for networked control systems with multiple packet dropouts. IEEE Transactions on Automatic Control, 57(9), (2012), 2360-2366.
• [14] G. N. Nair: A nonstochastic information theory for communication and state estimation. IEEE Transactions on Automatic Control, 58(6), (2013), 1497-1510.
• [15] Q. Q. Liu and G. H. Tao: Quantized feedback stabilization over data-rate constrained channels. ICIC Express Letters, 5(7(A)), (2011), 871-876.
• [16] Q. Q. Liu and G. H. Yang: Input and output quantized control of LQG systems under information limitation. ICIC Express Letters, Part B: Applications, 2(4), (2011), 833-840.
• [17] R. Yang, G. P. Liu, P. Shi, C. Thomas and M. V. Basin: Predictive output feedback control for networked control systems. IEEE Transactions on Industrial Electronics, 61(1), (2014), 512-520.
• [18] L. Wu, R. Yang, P. Shi and X. Su: Stability analysis and stabilization of 2-D switched systems under arbitrary and restricted switchings. Automatica, 59 (2015), 206-215.

Uwagi

EN

1. This work is partially supported by China Postdoctoral Science Foundation funded project (No. 2013M530134), the Open Foundation of Automatic Weapons and Ammunition Engineering Key Disciplines of Shenyang Ligong University (No. 4771004kfx02). The authors also gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the presentation.

PL

2. Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).