This paper investigates the stabilization problem for upper-triangular nonlinear systems subject to time-delay by using sampled-data control. In order to make the design process more feasible, the coordinate transformation is introduced to generate a scaling gain. Then the linear observer is constructed and the sampled-data controller is obtained based on the estimated states. Under the upper-triangular linear growth assumption and Lyapunov method, the suitable parameters can be selected to make the system achieve globally stable. It can be proved that the proposed method can also be extended to the system with multiple time delays. Finally, the effectiveness of the designed controller is demonstrated by using numerical and practical examples.

本文采用采样数据控制研究了时滞上三角非线性系统的镇定问题。为了使设计过程更加可行，引入坐标变换来产生缩放增益。然后构造线性观测器，并根据估计的状态获得采样数据控制器。在上三角线性增长假设和李雅普诺夫方法下，可以选择合适的参数使系统达到全局稳定。可以证明，所提出的方法也可以推广到具有多个时滞的系统。最后，通过数值和实例验证了所设计控制器的有效性。