Impulsive control realization applied to non-dissipative first order plants: an academic electronic implementation

Impulsive control design is a control strategy mainly based on the impulsive differential model of the plant to be stabilized. Hence, this system should have at least one state variable able to be driven by impulsive commands. On the other hand, analog electronic realization of an impulsive control algorithm may be an important competition for engineering students. Therefore, the main objective of this paper is to pose an impulsive control method to non-dissipative first order systems along with an electronic circuit design to validate a contribution on impulsive control aim. According to our experimental results, our electronic architecture to reproduce an impulsive control law results effective to accomplished asymptotic stability of the closed-loop system in the Lyapunov’s sense.Peer ReviewedPostprint (published version

Synchronization of chaos in nonlinear finance system by means of sliding mode and passive control methods: A comparative study

In this paper, two different control methods, namely sliding mode control and passive control, are investigated for the synchronization of two identical chaotic finance systems with different initial conditions. Based on the sliding mode control theory, a sliding surface is determined. A Lyapunov function is used to prove that the passive controller provides global asymptotic stability of the system. Numerical simulations validate the synchronization of chaotic finance systems with the proposed sliding mode and passive control methods. The synchronization performance of these two methods is compared and discussed