Distributed dynamics for aggregative games:Robustness and privacy guarantees

This paper considers the problem of Nash equilibrium (NE) seeking in aggregative games, where the cost function of each player depends on an aggregate of all players' actions. We present a distributed continuous-time algorithm such that the actions of the players converge to NE by communicating to each other through a connected network. As agents may deviate from their optimal strategies dictated by the NE seeking protocol, we investigate robustness of the proposed algorithm against time-varying disturbances. In particular, we provide rigorous robustness guarantees by proving input-to-state stability (ISS) and (Formula presented.) -stability properties of the NE seeking dynamics. A major concern in communicative schemes among strategic agents is that their private information may be revealed to other agents or to a curious third party who can eavesdrop the communications. Motivated by this, we investigate privacy properties of the algorithm and identify to what extent privacy is preserved when all communicated variables are compromised. Finally, we demonstrate practical applications of our theoretical findings on two case studies; namely, on an energy consumption game and a coordinated charging of electric vehicles

Development of time delay current control for lead acid battery 12 v DC by using arduino

Development of time delay current control for lead acid battery 12 V dc by using Arduino is the aim of this thesis. The development problem is necessary before applying control techniques to guarantee the execution of any task according to a desired input with minimum error. The main objective of this thesis is to design the time delay has on the performance of a current controlled for the buck-boost converter. The time delay controller is generally regarded as a nuisance to a control system. In addition, the performance of the Arduino and MATLAB as a signal processing device interface time is used. The feedback of open loop and closed loop time delay controller is also been analyzed. Based on results, the experiment of closed loop hardware gives better results than simulation in terms of output current. Through this study it is proved that the time delay controller is successfully designed to control current for lead acid battery