Feedback vector L2-gain for switched non-linear systems

摘要

In this paper, we investigate the preservation of vector L2-gain property of nonlinear switched systems. The nominal switched system has not vector L2-gain property, which the primary control objectives do not be obtained by the primary controllers. By using feedback control, we design the robust terms to make the systems has vector L2-gain property with the same storage functions as the nominal systems and guarantee the primary control objectives. For properties of interconnected systems, small-gain theorem is maintained for switched systems with uncertainties. Finally, two examples are provided to illustrate the effectiveness of the main results.