一类不确定离散时间系统的积分滑模控制  

Integral sliding mode control of discrete-time systems with uncertainties

作　　者：杨朋松[1] 孙秀霞[1] 董文瀚[1] 武杰[1] 

机构地区：[1]空军工程大学 工程学院,西安710038

出　　处：《控制与决策》2012年第9期1397-1401,共5页Control and Decision

基　　金：国家自然科学基金项目(60904038)

摘　　要：针对一类同时存在匹配和非匹配不确定性的离散时间系统,提出一种基于幂次函数的离散积分滑模控制方法,理论分析表明,所提出的方法可以消除离散积分滑模控制系统的抖振,而且能够保证对系统的匹配和非匹配不确定性具有强鲁棒性,在系统不确定性的界未知的情况下,通过引入一步延时干扰估计完成了控制器的设计,并给出了闭环系统稳定性证明,仿真结果验证了所提出方法的有效性。For a class of discrete time systems with matched and unmatched uncertainties, a discrete integral sliding mode control method based on the power-function is proposed in this paper. Theoretical analysis shows that, the chattering of discrete integral sliding mode control systems can be eliminated, and the robustness against the matched and unmatched uncertainties can be guaranteed. Under the condition that the bounds of the uncertainties of the system are unknown, one step delayed disturbance estimation is introduced to complete the design of the controller, and the stability of the closed loop system is proved. Simulation results show the effectiveness of the proposed method.

关 键 词：离散时间系统 幂次函数 积分滑模 一步延时干扰估计 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]