A Stackelberg game theoretic approach to resilient control of an islanded microgrid

The work done in this paper attempts to exploit a Stackelberg game theoretic approach for resilient control of a networked system. A switching control design has been incorporated to modify the system dynamics on occurrence of an attack to enable online recovery. A case of grid forming Voltage Source Inverters (VSI's) is considered and systematic analysis concerning effectiveness of the proposed control is being presented. The proposed method develops a Distributed Averaging Proportional Integral (DAPI) like control law restoring the grid frequency to its nominal value without affecting other performance parameters.

[1]  Frank Allgöwer,et al.  Cooperative control of dynamically decoupled systems via distributed model predictive control , 2012 .

[2]  T. Başar,et al.  Dynamic Noncooperative Game Theory , 1982 .

[3]  M. Areak,et al.  Passivity as a design tool for group coordination , 2006, 2006 American Control Conference.

[4]  Yadati Narahari,et al.  Game Theory and Mechanism Design , 2014 .

[5]  Francesco Bullo,et al.  Synchronization and power sharing for droop-controlled inverters in islanded microgrids , 2012, Autom..

[6]  Francesco Bullo,et al.  Control-Theoretic Methods for Cyberphysical Security: Geometric Principles for Optimal Cross-Layer Resilient Control Systems , 2015, IEEE Control Systems.

[7]  Fuchun Sun,et al.  Resilient control of cyber-physical systems against intelligent attacker: a hierarchal stackelberg game approach , 2016, Int. J. Syst. Sci..

[8]  Juan C. Vasquez,et al.  Secondary Frequency and Voltage Control of Islanded Microgrids via Distributed Averaging , 2015, IEEE Transactions on Industrial Electronics.

[9]  Quanyan Zhu,et al.  Game-Theoretic Methods for Robustness, Security, and Resilience of Cyberphysical Control Systems: Games-in-Games Principle for Optimal Cross-Layer Resilient Control Systems , 2015, IEEE Control Systems.

[10]  Hai Lin,et al.  Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results , 2009, IEEE Transactions on Automatic Control.

[11]  Francesco Borrelli,et al.  Distributed LQR Design for Identical Dynamically Decoupled Systems , 2008, IEEE Transactions on Automatic Control.

[12]  Tansu Alpcan,et al.  Network Security , 2010 .

[13]  George J. Pappas,et al.  Stochastic game approach for replay attack detection , 2013, 52nd IEEE Conference on Decision and Control.

[14]  Mohit Sinha,et al.  Virtual Oscillator Control subsumes droop control , 2015, 2015 American Control Conference (ACC).

[15]  Minghui Zhu,et al.  Stackelberg-game analysis of correlated attacks in cyber-physical systems , 2011, Proceedings of the 2011 American Control Conference.

[16]  Alessandro Astolfi,et al.  Conditions for stability of droop-controlled inverter-based microgrids , 2014, Autom..

[17]  Mohit Sinha,et al.  Synthesizing Virtual Oscillators to Control Islanded Inverters , 2016, IEEE Transactions on Power Electronics.

[18]  Quanyan Zhu,et al.  Robust and resilient control design for cyber-physical systems with an application to power systems , 2011, IEEE Conference on Decision and Control and European Control Conference.