不确定系统的事件触发控制:近似解输入法

Event-triggered control for uncertain systems:an approximate solution input method

针对一类不确定非线性系统的事件触发控制问题,提出了一种近似解输入法的控制策略.首先,对非线性系统进行线性化处理,以便于构造系统的近似解.其次,根据确定线性系统解析解的定义,利用系统矩阵和采样信号信息,逐段地构造不确定非线性系统的近似解.将测量误差定义为系统当前状态与近似状态之间的差,构造事件触发条件和控制器,并建立相关的稳定性判据.本文证明了所提此方法可有效避免Zeno现象,并将其推广到动态触发控制方案,得到进一步提高的结果.最后,通过仿真对比验证了本文方法的有效性.

This paper investigates the event-triggered control for a class of uncertain nonlinear systems by proposing an approximate solution input method.First,the nonlinear systems are linearized to the linear ones aiming to construct the approximate solution.Second,according to the definition of the solution of the deterministic linear systems,we construct the piecewise approximate solution for the uncertain nonlinear systems by utilizing the matrix parameters and sampled signals.The measurement error is defined as the difference between the actual states and approximate states of the systems.Thereafter,the event-triggered condition and controller are designed,respectively.The stability conditions are also developed correspondingly.It is proved that the proposed method can effectively avoid the Zeno phenomenon.The proposed method is also extended to the dynamic triggering method,and some improved results are developed.Finally,the effectiveness of the proposed methods is verified by comparison examples.