The stabilization control for a kind of hybrid systems

In this paper, we consider the problem of stabilization control for a kind of hybrid systems. Based on the double regulation control mechanisms (DRCM), because of the robustness of the control method, the systematic method for the stabilization control of hybrid systems is proposed. Firstly, inspired by the concept of mean value in probability theory, we introduce the mean function, and we can regard hybrid systems as uncertain systems. Secondly, based on DRCM, without using any observer or estimator, we can reject uncertainties and carry out the regulation of uncertain systems effectively. In order to meet the needs for the stabilization control of hybrid systems which contain different kinds of subsystems, we extend the DRCM, which can remove all the interconnected parts, uncertainties and disturbances from the related subsystems, and make the synthesis of hybrid systems easily and effectively. Thirdly, we consider the stability analysis for the relevant control systems, and some conditions on the stability are provided. Finally, we provide some applications related to the above method. The stabilization control for a special hybrid system (self-interactive system) is provided to indicate the effective of the method.