ZG stabilization and tracking control for bilinear system of u-integration type

In this paper, the stabilization control and tracking control for a bilinear system of u-integration type are investigated. By applying the Zhang-gradient (ZG) method, a ZG stabilization controller is designed and proposed to realize the stabilization control of the bilinear system. In order to show the superiority of the proposed ZG stabilization controller for the stabilization control of the bilinear system, the comparison with the controller designed by means of the back-stepping (BS) technique is conducted via a simulation. Besides, we design and propose two ZG tracking controllers for the tracking control of the bilinear system with one output and two outputs. In addition, simulation results verify the efficacy of the proposed ZG controllers in fulfilling the stabilization and tracking control of the bilinear system.