Unscented Kalman filtering for nonlinear systems with sensor saturation and randomly occurring false data injection attacks. (English) Zbl 07878856
Summary: In this paper, an unscented Kalman filtering problem is studied for a nonlinear system with sensor saturation and randomly occurring false data injection attacks. A random variable obeying the Bernoulli distribution is employed to characterize the phenomena of the randomly occurring false data injection attacks. The aim of this paper is to design a modified unscented Kalman filter by minimizing an upper bound of filtering error covariance. Furthermore, a sufficient condition is provided to ensure an exponentially bounded filtering error in the mean square sense. Numerical simulations are presented to illustrate the validity of the proposed filter.
© 2019 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
© 2019 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
MSC:
| 93-XX | Systems theory; control |
Keywords:
false data injection attacks; nonlinear system; sensor saturation; unscented Kalman filteringReferences:
| [1] | AChibani, MChadli, and NBraiek, A finite frequency approach to H_∞ filtering for T‐S fuzzy systems with unknown inputs, Asian J. Control18 (2016), 1608-1618. 5. · Zbl 1347.93160 |
| [2] | SLiu, ZWang, LWang, and GWei, On quantized H_∞ filtering for multi‐rate systems under stochastic communication protocols: The finite‐horizon case, Inf. Sci.459 (2018), 211-223. · Zbl 1448.93330 |
| [3] | SLiu, ZWang, GWei, and MLi, Distributed set‐membership filtering for multirate systems under the round‐robin scheduling over sensor networks, IEEE Trans. Cybern.https://doi.org/10.1109/TCYB.2018.2885653 · doi:10.1109/TCYB.2018.2885653 |
| [4] | AChibani, MChadli, SDing, and NBraiek, Design of robust fuzzy fault detection filter for polynomial fuzzy systems with new finite frequency specifications, Automatica93 (2018), 42-54. · Zbl 1400.93297 |
| [5] | KXiong and CWei, Adaptive iterated extended Kalman filter for relative spacecraft attitude and position estimation, Asian J. Control20 (2017), 1595-1610. · Zbl 1397.93209 |
| [6] | KXiong, HZhang, and CChan, Performance evaluation of UKF‐based nonlinear filtering, Automatica42 (2006), no. 2, 261-270. · Zbl 1103.93045 |
| [7] | XWang, LZhao, QXia, and YHao, Strong tracking filter based on unscented transformation, Control Decision25 (2010), no. 7, 1063-1068. |
| [8] | GHu, WWang, YZhong, BGao, and CGu, A new direct filtering approach to INS/GNSS integration, Aerosp. Sci. Technol.77 (2018), 755-764. |
| [9] | YZhang, MXiao, ZWang, HFu, and YWu, Robust three‐stage unscented Kalman filter for Mars entry phase navigation, Inf. Fusion51 (2019), 67-75. |
| [10] | CUrrea and RMuñoz, Joints position estimation of a redundant scara robot by means of the unscented Kalman filter and inertial sensors, Asian J. Control18 (2016), no. 2, 481-493. · Zbl 1346.93368 |
| [11] | BBurchett, Unscented Kalman filters for range‐only cooperative localization of swarms of munitions in three‐dimensional flight, Aerosp. Sci. Technol.85 (2019), 259-269. |
| [12] | WLi, GWei, FHan, and YLiu, Weighted average consensus‐based unscented Kalman filtering, IEEE Trans. Cybern.46 (2016), no. 2, 558-567. |
| [13] | LLi and YXia, Stochastic stability of the unscented Kalman filter with intermittent observations, Automatica48 (2012), no. 5, 978-981. · Zbl 1246.93121 |
| [14] | WLi, GWei, DDing, YLiu, and FAlsaadi, A new look at boundedness of error covariance of Kalman filtering, IEEE Trans. Syst. Man. Cybern. Syst.48 (2018), no. 2, 309-314. |
| [15] | ZWang, BShen, and XLiu, H_∞ filtering with randomly occurring sensor saturations and missing measurements, Automatica48 (2012), no. 3, 556-562. · Zbl 1244.93162 |
| [16] | MRehan, MTufail, CAhn, and MChadli, Stabilisation of locally Lipschitz non‐linear systems under input saturation and quantisation, IET Control Theory Appl.11 (2017), no. 9, 1459-1466. |
| [17] | DSaifia, MChadli, SLabiod, and TGuerra, Robust H_∞ static output‐feedback control for discrete‐time fuzzy systems with actuator saturation via fuzzy Lyapunov functions, Asian J. Control (2019), 10-13. |
| [18] | YWen, LChen, KLiang, and DDuan, Nonlinear MPC for a sensorless multi‐vectored propeller airship based on sliding mode observer with saturation, Asian J. Control21 (2019), no. 1, 248-263. · Zbl 1422.93069 |
| [19] | HDong, ZWang, and HGao, Fault detection for Markovian jump systems with sensor saturations and randomly varying nonlinearities, IEEE Trans. Circuits Syst.59 (2012), no. 10, 2354-2362. · Zbl 1468.94903 |
| [20] | DWang, BShen, and FAlsaadi, Security‐guaranteed filtering for discrete‐time stochastic delayed systems with randomly occurring sensor saturations and deception attacks, Int. J. Robust Nonlinear Control27 (2016), no. 7, 1194-1208. · Zbl 1369.93658 |
| [21] | YLiu, ZWang, XHe, and DZhou, Event‐triggered filtering and fault estimation for nonlinear systems with stochastic sensor saturations, Int. J. Control90 (2017), no. 5, 1052-1062. · Zbl 1367.93651 |
| [22] | SAouaouda and MChadli, Robust fault tolerant controller design for Takagi‐Sugeno systems under input saturation, Int. J. Syst. Sci.50 (2019), no. 6, 1163-1178. · Zbl 1483.93092 |
| [23] | ZWang and HGao, Joint state and fault estimation for time‐varying nonlinear systems with randomly occurring faults and sensor saturations, Automatica97 (2018), 150-160. · Zbl 1406.93322 |
| [24] | HZhang, YQi, HZhou, JZhang, and JSun, Testing and defending methods against DoS attack in state estimation, Asian J. Control19 (2017), no. 4, 1295-1305. · Zbl 1370.93264 |
| [25] | DDing, QHan, YXiang, XGe, and XZhang, A survey on security control and attack detection for industrial cyber‐physical systems, Neurocomputing275 (2018), 1674-1683. |
| [26] | FAhmadloo and FSalmasi, A Stealth integrity targeted cyber‐attack in distributed electric power networks with local model information, Asian J. Control21 (2019), no. 1, 545-558. · Zbl 1422.93005 |
| [27] | JHu, SLiu, DJi, and SLi, On co‐design of filter and fault estimator against randomly occurring nonlinearities and randomly occurring deception attacks, Int J. General Syst.45 (2015), no. 5, 1-14. |
| [28] | SLiu, GWei, YSong, and YLiu, Extended Kalman filtering for stochastic nonlinear systems with randomly occurring cyber attacks, Neurocomputing207 (2016), no. 26, 708-716. |
| [29] | LHu, ZWang, QHan, and XLiu, State estimation under false data injection attacks: Security analysis and system protection, Automatica87 (2018), 176-183. · Zbl 1378.93119 |
| [30] | JShen and DFeng, Cross‐layer security design for encrypted CPS based on modified security signalling game, Asian J. Control (2019), 1-20. https://doi.org/10.1002/asjc.1998 · Zbl 07872637 · doi:10.1002/asjc.1998 |
| [31] | ZGuo, DShi, KJohansson, and LShi, Optimal linear cyber‐attack on remote state estimation, IEEE Trans. Control Netw. Syst.4 (2017), no. 1, 4-13. · Zbl 1370.94137 |
| [32] | JHu, ZWang, FAlsaadi, and THayat, Event‐based filtering for time‐varying nonlinear systems subject to multiple missing measurements with uncertain missing probabilities, Information Fusion38 (2017), 74-83. |
| [33] | LLi, DYu, YXia, and HYang, Event‐triggered UKF for nonlinear dynamic systems with packet dropout, Int. J. Robust Nonlinear Control27 (2017), no. 18, 4208-4226. · Zbl 1379.93092 |
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.
