Design of a Finite-Time State Estimator for Nonlinear Systems Under Event-Triggered Control

TONG Yinghao; TONG Dongbing; CHEN Qiaoyu; ZHOU Wuneng

doi:10.21656/1000-0887.400210

Volume 41 Issue 6

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TONG Yinghao, TONG Dongbing, CHEN Qiaoyu, ZHOU Wuneng. Design of a Finite-Time State Estimator for Nonlinear Systems Under Event-Triggered Control[J]. Applied Mathematics and Mechanics, 2020, 41(6): 669-678. doi: 10.21656/1000-0887.400210

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Design of a Finite-Time State Estimator for Nonlinear Systems Under Event-Triggered Control

doi: 10.21656/1000-0887.400210

¹School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai 201620, P.R.China;²School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201620, P.R.China;³School of Information Science and Technology, Donghua University, Shanghai 201620, P.R.China

Funds: The National Natural Science Foundation of China(61673257;11501367); China Postdoctoral Science Foundation(2019M661322)

Received Date: 2019-07-15
Rev Recd Date: 2020-05-10
Publish Date: 2020-06-01

Abstract

Abstract

The event-triggered state estimator for nonlinear systems with time delay was studied. Firstly, the state estimator for nonlinear systems was established by the event-triggered mechanism, and the Lyapunov function was used to make the system mean square bounded in finite time. Secondly, based on the H_∞ bounded condition, the system’s H_∞ finite time bounded criterion was obtained. Finally, a numerical example was given to illustrate the validity of the obtained result.
- finite time,
- event-triggered mechanism,
- state estimator,
- H_∞ control,
- nonlinear system

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References(16)

References

[1]	IBRIR S, SU C Y. Simultaneous state and dead-zone parameter estimation for a class of bounded-state nonlinear systems[J]. IEEE Transactions on Control Systems Technology,2011,19(4): 911-919.
[2]	ZHAO J B, ZHANG G X, DONG Z Y, et al. Forecasting-aided imperfect false data injection attacks against power system nonlinear state estimation[J].IEEE Transactions on Smart Grid,2016,7(1): 6-8.
[3]	PANKOV A, BOSOV A. Conditionally minimax algorithm for nonlinear system state estimation[J]. IEEE Transactions on Automatic Control,1994,39(8): 1617-1620.
[4]	ZHENG W, WU W, GOMEZ-EXPOSITO A, et al. Distributed robust bilinear state estimation for power systems with nonlinear measurements[J]. IEEE Transactions on Power Systems,2017,32(1): 499-509.
[5]	曾德强, 吴开腾, 宋乾坤, 等. 时滞神经网络随机抽样控制的状态估计[J]. 应用数学和力学, 2018,39(7): 821-832.(ZENG Deqiang, WU Kaiteng, SONG Qiankun, et al. State estimation for delayed neural networks with stochastic sampled-data control[J]. Applied Mathematics and Mechanics,2018,39(7): 821-832.(in Chinese))
[6]	LEUNG H, SHANMUGAM S, XIE N, et al. An ergodic approach for chaotic signal estimation at low SNR with application to ultra-wide-band communication[J]. IEEE Transactions on Signal Processing,2006,54(3): 1091-1103.
[7]	BOLZERN P, COLANERI P, NICOLAO D G. On almost sure stability of continuous-time Markov jump linear systems[J]. Automatica,2006,42(6): 983-988.
[8]	ZHAO X Y, DENG F Q. Moment stability of nonlinear discrete stochastic systems with time-delays based on H -representation technique[J]. Automatica,2014,50(2): 530-536.
[9]	WANG Y Y, XIE L H, DE SOUZA C E. Robust control of a class of uncertain nonlinear systems[J]. Systems and Control Letters,1992,19(2): 139-149.
[10]	WANG D, LIU D R, LI H L, et al. An approximate optimal control approach for robust stabilization of a class of discrete-time nonlinear systems with uncertainties[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems,2015,46(5): 713-717.
[11]	KE M, ZHAO Y D, ZHAO X. Cooperation-driven distributed model predictive control for energy storage systems[J]. IEEE Transactions on Smart Grid,2015,6(6): 2583-2585.
[12]	PUKDEBOON C, ZINOBER A S, THEIN M W L. Quasi-continuous higher order sliding-mode controllers for spacecraft-attitude-tracking maneuvers[J]. IEEE Transactions on Industrial Electronics,2010,57(4): 1436-1444.
[13]	AMATO F, ARIOLA M, DORATO P. Finite-time control of linear systems subject to parametric uncertainties and disturbances[J]. Automatica,2001,37(9): 1459-1463.
[14]	MAO Y, ZHANG H, ZHANG Z. Finite-time stabilization of discrete-time switched nonlinear systems without stable subsystems via optimal switching signal design[J]. IEEE Transactions on Fuzzy Systems,2017,25(1): 172-180.
[15]	程桂芳, 慕小武. 一类不连续系统关于闭不变集的有限时间稳定性研究[J]. 应用数学和力学, 2009,30(8): 1003-1008.(CHENG Guifang, MU Xiaowu. Finite-time stability with respect to a closed invariant set for a class of discontinuous systems[J]. Applied Mathematics and Mechanics,2009,30(8): 1003-1008.(in Chinese))
[16]	WANG J, ZHANG H, WANG Z, et al. Finite-time synchronization of coupled hierarchical hybrid neural networks with time-varying delays[J].IEEE Transactions on Cybernetics,2017,47(10): 2995-3004.