鲁棒镇定受到干扰的非线性微分包含系统

研究带有干扰的非线性微分包含系统的镇定问题. 基于凸锥Lyapunov函数方法, 首先, 对于无干扰的这类系统, 设计可使闭环系统全局镇定的连续反馈控制律. 其次, 通过状态反馈, 对于受到两类有界干扰的这类微分包含系统的可达集进行了估计. 最后, 通过一个仿真例子说明所提出的设计方法的有效性.

Robust Stabilization for Nonlinear Differential Inclusion Systems Subject to Disturbances

The stabilization problem of nonlinear differential inclusion (NDI) systems with disturbances is dealt with in this paper. First, based on the convex hull Lyapunov function (CHLF) approach, a continuous state feedback law is designed, which can globally asymptotically stabilize this kind of systems without disturbances. Second, by the state feedback, the reachable set under two classes of bounded disturbances is achieved simultaneously. Finally, a numerical example is used to illustrate the effectiveness of the proposed design technique.