A moving-horizon hybrid stochastic game for secure control of cyber-physical systems

Fei Miao, Quanyan Zhu

Research output: Contribution to journalConference articlepeer-review


Security of cyber-physical systems (CPS) is a challenge for increasingly integrated systems today. To analyze and design detection and defense mechanisms for CPSs requires new system frameworks. In this paper, we establish a zero-sum hybrid stochastic game model, that can be used for designing defense policies for cyber-physical systems against attackers of different types. The hybrid game model contains physical states described by the system dynamics, and a cyber state that represents the detection mode of the system. A system selects a subsystem by combining one controller, one estimator and one detector among a finite set of candidate components at each state. In order to provide scalable and real-time computation of the switching strategies, we propose a moving-horizon approach to solve the zero-sum hybrid stochastic game, and obtain a saddle-point equilibrium policy for balancing the system's security overhead and control cost. This approach leads to a real-time algorithm that yields a sequence of Nash equilibrium strategies which can be shown to converge. The paper illustrates these concepts using numerical examples, and we compare the results with previously known designs.

Original languageEnglish (US)
Article number7039433
Pages (from-to)517-522
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Issue numberFebruary
StatePublished - 2014
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: Dec 15 2014Dec 17 2014

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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