离散广义双线性系统的有限时间滑模控制

Finite-time sliding mode control for discrete singular bilinear systems

利用变结构控制方法,研究了一类离散广义双线性系统的有限时间滑模控制器设计问题。利用Lyapunov函数的方法,给出了离散广义双线性系统的滑模控制的理想准滑动模态和趋近律形式的到达条件,设计滑模控制器,实现离散广义双线性闭环系统是因果的、稳定的,同时也使得滑动模在有限时间内到达切换面或切换带内实现滑模运动,通过数值算例说明了设计方法的可行性和有效性。

By employing variable structure control approach, the problem of finite-time sliding mode controller design for a class of discrete singular bilinear systems is studied. Firstly, by the method of Lyapunov function, the ideal quasi-sliding mode and the reaching condition which is described with reaching law for discrete singular bilinear systems are designed. Secondly, sliding mode controllers are proposed so that regular discrete singular bilinear systems are causal and stable; simultaneously, dynamic mode can reach the switching surface or the switching belt in finite time and begin sliding mode action. Finally, a numerical example is presented to illustrate the feasibility and effectiveness of the designing method.