×

Receding horizon estimation to networked control systems with multirate scheme. (English) Zbl 1182.93113

Summary: This paper investigates the problem of receding horizon state estimation for networked control systems (NCSs) with random network-induced delays less than one sample period, which are formulated as multirate control systems. Based on a batch of recent past slow rate measurements in a finite horizon window, the initial state estimation in this window is solved by minimizing a receding-horizon objective function, and then the fast rate state estimations are calculated by the prediction of dynamic equation to compensate for the network-induced time delays. Furthermore, convergence results and unbiasedness properties are analyzed. An upper bound of estimation error is presented under the assumption of bounded disturbances acting on the system and measurement equations. A simulation example shows the effectiveness of the proposed method.

MSC:

93E10 Estimation and detection in stochastic control theory
93E25 Computational methods in stochastic control (MSC2010)
93C55 Discrete-time control/observation systems
Full Text: DOI

References:

[1] Zhang L, Shi Y, Chen T, et al. A new method for stabilization of networked control systems with random delays. IEEE Trans Autom Control, 2005, 50(8): 1177–1181 · Zbl 1365.93421 · doi:10.1109/TAC.2005.852550
[2] Hu S, Zhu W. Stochastic optimal control and analysis of stability of networked control systems with long delay. Automatica, 2003, 39: 1877–1884 · Zbl 1175.93240 · doi:10.1016/S0005-1098(03)00196-1
[3] Liu G, Xia Y, Rees D, et al. Design and stability criteria of networked predictive control systems with random network delay in the feedback channel. IEEE Trans Syst Man Cy C, 2007, 37(2): 173–184 · doi:10.1109/TSMCC.2006.886987
[4] Gao H, Chen T. Network based H output tracking control. IEEE Trans Autom Control, 2008, 53(3): 655–667 · Zbl 1367.93175 · doi:10.1109/TAC.2008.919850
[5] Gao H, Chen T, Lam J. A new delay system approach to network based control. Automatica, 2008, 44(1): 39–52 · Zbl 1138.93375 · doi:10.1016/j.automatica.2007.04.020
[6] Goodwin G C, Haimovich H, Quevedo D E, et al. A moving horizon approach to networked control system design. IEEE Trans Autom Control, 2004, 49(9): 1427–1445 · Zbl 1365.93172 · doi:10.1109/TAC.2004.834132
[7] Walsh G C, Ye H, Bushnell L G. Stability analysis of networked control systems. IEEE Trans Control Syst Tech, 2002, 10(3): 438–446 · doi:10.1109/87.998034
[8] Tang P L, De Silva C W. Compensation for transmission delays in an ethernet-based control network using variable-horizon predictive control. IEEE Trans Control Syst Tech, 2006, 14(4): 707–718 · doi:10.1109/TCST.2006.876640
[9] Sheng J, Chen T, Shah S L. Optimal filtering for multirate systems. IEEE Trans Autom Control, 2005, 52(4): 228–232
[10] Shu H, Chen T, Francis B A. Minimax design of hybrid multirate filter banks. IEEE Trans Circuits-II, 1997, 44(2): 120–128
[11] Young S S, Hong H L, Young S R, et al. Networked control systems using H 2 multirate control. Proceedings. In: 2004 IEEE International Workshop on Factory Communication Systems, Vienna, Austria,, 2004. 403–406
[12] Lin H, Antsaklis P J. Stability and persistent disturbance attenuation properties for a class of networked control systems: switched system approach. Int J Control, 2005, 78(18): 1447–1458 · Zbl 1122.93357 · doi:10.1080/00207170500329182
[13] Sahebsara M, Chen T, Shah S L. Optimal H 2 filtering in networked control systems with multiple packet dropout. IEEE Trans Autom Control, 2007, 52(8): 1508–1513 · Zbl 1366.93659 · doi:10.1109/TAC.2007.902766
[14] Sahebsara M, Chen T, Shah S L. Optimal H 2 filtering with random sensor delay, multiple packet dropout and uncertain observations. Int J Cont, 2007, 80(2): 292–301 · Zbl 1140.93486 · doi:10.1080/00207170601019500
[15] Christopher V R, James B R, Jay H L. Constrained linear state estimation-a moving horizon approach. Automatica, 2001, 37: 1619–1628 · Zbl 0998.93039 · doi:10.1016/S0005-1098(01)00115-7
[16] Ling K V, Lim K W. Receding horizon recursive state estimation. IEEE Trans Autom Control, 1999, 44(9): 1750–1753 · Zbl 0958.93014 · doi:10.1109/9.788546
[17] Alessandri A, Baglietto M, Battistelli G. Receding-horizon estimation for discrete-time linear systems. IEEE Trans Autom Control, 2006, 48(3): 473–478 · Zbl 1223.93078 · doi:10.1109/TAC.2003.809155
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.