Resilient cumulant game control for cyber-physical systems
| Title | Resilient cumulant game control for cyber-physical systems |
| Publication Type | Conference Paper |
| Year of Publication | 2015 |
| Authors | Aduba, C., Won, C. h |
| Conference Name | 2015 Resilience Week (RWS) |
| Publisher | IEEE |
| ISBN Number | 978-1-4799-8594-4 |
| Keywords | control feedback gain variation, Cost function, cumulant game control resiliency, cyber-physical system, Cyber-physical systems, full-state feedback, game theory, Games, Hamilton-Jacobi-Bellman equation, HJB equation, linear hybrid stochastic system, linear Markovian system, Markov processes, Mathematical model, Nash equilibrium, Nash game, optimisation, pubcrawl170107, quadratic cost function optimization, security of data, security vulnerability, Trajectory |
| Abstract | In this paper, we investigate the resilient cumulant game control problem for a cyber-physical system. The cyberphysical system is modeled as a linear hybrid stochastic system with full-state feedback. We are interested in 2-player cumulant Nash game for a linear Markovian system with quadratic cost function where the players optimize their system performance by shaping the distribution of their cost function through cost cumulants. The controllers are optimally resilient against control feedback gain variations.We formulate and solve the coupled first and second cumulant Hamilton-Jacobi-Bellman (HJB) equations for the dynamic game. In addition, we derive the optimal players strategy for the second cost cumulant function. The efficiency of our proposed method is demonstrated by solving a numerical example. |
| URL | http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7287422&isnumber=7287407 |
| DOI | 10.1109/RWEEK.2015.7287422 |
| Citation Key | aduba_resilient_2015 |
- linear Markovian system
- Trajectory
- security vulnerability
- security of data
- quadratic cost function optimization
- pubcrawl170107
- optimisation
- Nash game
- Nash Equilibrium
- Mathematical model
- Markov processes
- control feedback gain variation
- linear hybrid stochastic system
- HJB equation
- Hamilton-Jacobi-Bellman equation
- Games
- game theory
- full-state feedback
- cyber-physical systems
- cyber-physical system
- cumulant game control resiliency
- Cost function