一类时滞不确定离散系统的鲁棒自适应滑模控制

Robust adaptive sliding mode control for a kind of uncertain discrete-time systems with time delay

主要研究一类具有不确定项和外部扰动的离散时滞系统的鲁棒自适应控制,假设扰动和不确定项是有界的,而扰动和关于状态的不确定项的边界是不必知道的.设计了自适应控制器以保证系统能在有限时间内到达切换面,并且收敛到包含原点的一定的有界区域内.仿真的结果说明了该方法的有效性.

This paper focuses on robust adaptive sliding mode control for a kind of discrete-time state-delay systems with uncertainties and external disturbances.The uncertainties and disturbances are assumed to be norm-bounded but the bound of disturbances and uncertainties of state variables is not necessarily known.Especially,the uncertainties of state variables are mismatched.In this paper,a corresponding adaptive controller is designed by estimating the unknown upper bound of the disturbances and uncertainties of state variables.And it is designed to guarantee that the trajectory of the system can be driven on to the sliding surface in finite time and finally converges into a residual set of the origin.Also,simulation results are presented to illustrate the effectiveness of the control strategy.