Control of a non linear system a global approach

摘要

The aim of thid paper is to present a general method of nonlinear control system by nonlinear state feedback. For this purpose, a global stabilization method is proposed based on the Krasovskij functions. Sufficient conditions of stability are given. However, the general resolution of this problem leads to a nonlinear system of partial derivative equations, which are difficult to solve. To overcome this difficulty a global nonlinear function equivalent, locally, to a control by linear state feedback is used. The implementation of this approach is illustrated with an industrial example: the control position of a pneumatic jack. The modeling of the system leads to a nonlinear state model. The results presented shows the invariance of the dynamic and static performances in relation to the operating point.