一类非线性时滞系统的采样控制

针对于采样区间具有已知上界的非线性时滞系统,分别考虑了常采样和变采样两种情况下的采样控制问题.目标是设计一个状态反馈采样控制器,使得闭环系统指数稳定,并且满足给定的性能指标.基于输入延迟方法,可以将采样控制系统转化成具有时变延迟的连续系统.引入了新的时间依赖Lyapunov函数,这些Lyapunov函数在下一个采样时间到来之前没有增长.以线性矩阵不等式(LMI, Linear Matrix Inequality)的形式给出了具有时变延迟的非线性扰动系统指数稳定的充分条件.仿真结果说明了所提方法可以提高系统的抗扰能力.

Sampled-data control for a class of nonlinear time-delay systems

The problem of sampled-data control was investigated for a class of nonlinear time-delay perturbed systems, where the upper bound of sampling intervals was known and both constant sampling and variable sampling were considered. The objective is to design a state-feedback sampled-data controller, which guarantees the closed-loop system exponentially stable and satisfies given performance index. By applying an input delay approach, the sampled-data control system was transformed into a continuous time-delay system. The novel time-dependent Lyapunov functions were introduced, which did not grow before the arrival of the next sampling time. By linear matrix inequality(LMI) approach, sufficient conditions were obtained, under which the nonlinear time-delay perturbed systems were exponentially stable. And simulation results show that the proposed method can improve the immunity of system.