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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.
For the nonlinear time-delay systems with known upper bounds of the sampling interval, the sampling control problems under both the normal sampling and the variable sampling are respectively considered. The objective is to design a state-feedback sampling controller so that the closed-loop system is exponentially stable and Which satisfies the given performance index.Based on the input delay method, the sampling control system can be transformed into a continuous system with time-varying delay.The new time-dependent Lyapunov functions are introduced, and these Lyapunov functions do not increase until the next sampling time.The linear The sufficient condition for the exponential stability of a nonlinear perturbation system with time-varying delays is given in the form of LMI (Matrix Inequality). The simulation results show that the proposed method can improve the anti-interference ability of the system.