一类不确定时滞系统的滑模控制

考虑了一类同时存在状态不确定性和控制不确定性的时滞系统的滑模控制问题,通过采用李亚普诺夫方法和线性矩阵不等式(LMI)技术,给出了闭环系统渐近稳定的充分条件,而且滑模控制律和滑模面的设计可以利用线性矩阵不等式的解得到,证明了该滑模控制律能保证状态轨迹被驱动到指定的切换面上。仿真实验表明了算法的有效性。

Sliding-mode control for a class of uncertain time-delay systems

The problem of sliding mode control for a class of uncertain time-delay systems is considered.It is noted that there exist uncertainties in both state matrices and input matrix in the considered systems.By means of Lyapunov theory,a sufficient condition in terms of linear matrix inequalities(LMIs) is derived such that the asymptotical stability of the closed-loop system is guaranteed.It has been seen that the designs of both sliding mode control law and sliding surface can be easily obtained via convex optimization,if the LMIs are feasible.Moreover,the state trajectories are driven onto the specified sliding surface by the proposed sliding mode controller.A simulation is provided to illustrate the effectiveness of the proposed method.