On Multi-Input Controllable Linear Systems Under Unknown Periodic DoS Jamming Attacks

In this paper, we study remotely controlled and observed multi-input controllable continuous linear systems, subject to periodic Denial-of-Service (DoS) jamming attacks. We first design a control and triggering strategy provenly capable of beating any partially known jammer via properly placing the closed-loop poles. Building on it, we then present an algorithm that is able to guarantee the system stability under unknown jamming attacks of this class. The functionality of this algorithm is also theoretically proven.

[1]  Hamed Shisheh Foroush,et al.  On Single-Input Controllable Linear Systems Under Periodic DoS Jamming Attacks , 2012, 1209.4101.

[2]  Xiaofeng Wang,et al.  Self-Triggered Feedback Control Systems With Finite-Gain ${\cal L}_{2}$ Stability , 2009, IEEE Transactions on Automatic Control.

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

[4]  Tamer Basar,et al.  Graph-theoretic approach for connectivity maintenance in mobile networks in the presence of a jammer , 2010, 49th IEEE Conference on Decision and Control (CDC).

[5]  Antonio Bicchi,et al.  Consensus Computation in Unreliable Networks: A System Theoretic Approach , 2010, IEEE Transactions on Automatic Control.

[6]  Michael D. Lemmon,et al.  Resilient event triggered systems with limited communication , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[7]  Sonia Martínez,et al.  On distributed constrained formation control in operator-vehicle adversarial networks , 2013, Autom..

[8]  Sonia Martínez,et al.  On event-triggered control of linear systems under periodic denial-of-service jamming attacks , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[9]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[10]  Sourabh Bhattacharya,et al.  Differential Game-Theoretic Approach to a Spatial Jamming Problem , 2013 .

[11]  John S. Baras,et al.  Game Theoretic Modeling of Malicious Users in Collaborative Networks , 2008, IEEE Journal on Selected Areas in Communications.

[12]  Wenyuan Xu,et al.  The feasibility of launching and detecting jamming attacks in wireless networks , 2005, MobiHoc '05.

[13]  Manuel Mazo,et al.  An ISS self-triggered implementation of linear controllers , 2009, Autom..

[14]  Alexandros G. Fragkiadakis,et al.  Anomaly-Based Intrusion Detection Algorithms for Wireless Networks , 2010, WWIC.

[15]  Tamer Basar,et al.  A dynamic transmitter-jammer game with asymmetric information , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[16]  Chase Qishi Wu,et al.  A Survey of Game Theory as Applied to Network Security , 2010, 2010 43rd Hawaii International Conference on System Sciences.

[17]  Sonia Martínez,et al.  Attack-resilient distributed formation control via online adaptation , 2011, IEEE Conference on Decision and Control and European Control Conference.

[18]  Brian D. O. Anderson,et al.  Design of multivariable feedback systems , 1967 .

[19]  Bruno Sinopoli,et al.  Challenges for Securing Cyber Physical Systems , 2009 .

[20]  Tamer Basar,et al.  Optimal control in the presence of an intelligent jammer with limited actions , 2010, 49th IEEE Conference on Decision and Control (CDC).

[21]  Patrick Tague,et al.  Digital Filter Design for Jamming Mitigation in 802.15.4 Communication , 2011, 2011 Proceedings of 20th International Conference on Computer Communications and Networks (ICCCN).

[22]  Dennis S. Bernstein,et al.  Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory , 2005 .

[23]  Ruggero Carli,et al.  A distributed method for state estimation and false data detection in power networks , 2011, 2011 IEEE International Conference on Smart Grid Communications (SmartGridComm).

[24]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[25]  D. Luenberger.  Canonical forms for linear multivariable systems , 1967, IEEE Transactions on Automatic Control.