Stabilization of chaotic behavior to limit cycle in hybrid system

In this paper, it is presented that chaotic behavior appears in some hybrid system. Analyses and stabilization of the chaotic behavior are also discussed. The incidence condition of the chaotic behavior in the hybrid system is discussed from the chaos system point of view. This condition can be related with the location of poles and zeros of the system. Using the result of the analysis, a control method stabilizing the chaotic behavior to the limit cycle is presented. In this method, an adequate impulse input is injected to the system in order to stabilize the system when some discrete events occur. The effectiveness of the method is verified through numerical simulations, and robustness of the method will be shown in the simulation results.