Attack-resilient estimation of switched nonlinear cyber-physical systems

This paper studies attack-resilient estimation of a class of switched nonlinear systems subject to stochastic process and measurement noises. The systems are threatened by both of signal attacks and switching attacks. The problem is formulated as the joint estimation of state, attack vector and mode of hidden-mode switched systems. We propose an estimation algorithm which is composed of a bank of state and attack vector estimators and a mode estimator. The mode estimator selects the most likely mode using the outputs of the state and attack vector estimators. The stability and mean square estimation error bounds for the designed estimator are formally analyzed for the true mode when the hidden mode is time-invariant but remains unknown.

[1]  E. Jury,et al.  ALMOST SURE BOUNDEDNESS OF RANDOMLY SAMPLED SYSTEMS , 1971 .

[2]  T. Tarn,et al.  Observers for nonlinear stochastic systems , 1975, 1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes.

[3]  B. Anderson,et al.  Detectability and Stabilizability of Time-Varying Discrete-Time Linear Systems , 1981 .

[4]  Allen J. Wood,et al.  Power Generation, Operation, and Control , 1984 .

[5]  A.G. Phadke,et al.  Synchronized phasor measurements in power systems , 1993, IEEE Computer Applications in Power.

[6]  Mohamed Darouach,et al.  Unbiased minimum variance estimation for systems with unknown exogenous inputs , 1997, Autom..

[7]  R. Patton,et al.  Optimal filtering for systems with unknown inputs , 1998, IEEE Trans. Autom. Control..

[8]  Chien-Shu Hsieh,et al.  Robust two-stage Kalman filters for systems with unknown inputs , 2000, IEEE Trans. Autom. Control..

[9]  Carlos E. Pedreira,et al.  Neural networks for short-term load forecasting: a review and evaluation , 2001 .

[10]  Hesham K. Alfares,et al.  Electric load forecasting: Literature survey and classification of methods , 2002, Int. J. Syst. Sci..

[11]  Petar M. Djuric,et al.  Gaussian particle filtering , 2003, IEEE Trans. Signal Process..

[12]  Bart De Moor,et al.  Unbiased minimum-variance input and state estimation for linear discrete-time systems with direct feedthrough , 2007, Autom..

[13]  Jill Slay,et al.  Lessons Learned from the Maroochy Water Breach , 2007, Critical Infrastructure Protection.

[14]  S. Shankar Sastry,et al.  Secure Control: Towards Survivable Cyber-Physical Systems , 2008, 2008 The 28th International Conference on Distributed Computing Systems Workshops.

[15]  M. Scheutzow,et al.  Existence and uniqueness of solutions of stochastic functional differential equations , 2008, 0812.1726.

[16]  Michael Kearns Designing a Digital Future: Federally Funded Research and Development in Networking and Information Technology , 2010 .

[17]  James S. Thorp,et al.  Synchronized Phasor Measurement Applications in Power Systems , 2010, IEEE Transactions on Smart Grid.

[18]  Yilin Mo,et al.  False Data Injection Attacks in Control Systems , 2010 .

[19]  Konrad Reif,et al.  Stochastic Stability of the Extended Kalman Filter With Intermittent Observations , 2010, IEEE Transactions on Automatic Control.

[20]  Peng Ning,et al.  False data injection attacks against state estimation in electric power grids , 2011, TSEC.

[21]  Soummya Kar,et al.  Distributed detection and isolation of topology attacks in power networks , 2012, HiCoNS '12.

[22]  Florian Dörfler,et al.  Attack Detection and Identification in Cyber-Physical Systems -- Part II: Centralized and Distributed Monitor Design , 2012, ArXiv.

[23]  Emilio Frazzoli,et al.  Simultaneous input and state estimation for linear discrete-time stochastic systems with direct feedthrough , 2013, 52nd IEEE Conference on Decision and Control.

[24]  Paulo Tabuada,et al.  Secure Estimation and Control for Cyber-Physical Systems Under Adversarial Attacks , 2012, IEEE Transactions on Automatic Control.

[25]  Sonia Martínez,et al.  On the Performance Analysis of Resilient Networked Control Systems Under Replay Attacks , 2013, IEEE Transactions on Automatic Control.

[26]  Emilio Frazzoli,et al.  Resilient state estimation against switching attacks on stochastic cyber-physical systems , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[27]  Emilio Frazzoli,et al.  A unified filter for simultaneous input and state estimation of linear discrete-time stochastic systems , 2013, Autom..