非匹配离散系统无抖振鲁棒准滑模控制  

Chattering-free robust quasi-sliding mode control for unmatched discrete-time systems

作　　者：苏磊[1] 姚宏[2] 张志浩[2] 杜军[1] 

机构地区：[1]空军工程大学航空航天工程学院,西安710038 [2]空军工程大学理学院,西安710051

出　　处：《控制与决策》2015年第3期551-555,共5页Control and Decision

基　　金：航空科学基金项目(20111396011);陕西省自然科学基金项目(2012JM8035)

摘　　要：研究离散准滑动模态的鲁棒性恢复和抖振削弱问题.针对一类同时含有匹配建模误差和非匹配外界干扰不确定离散系统,设计一种基于解耦干扰补偿器的鲁棒准滑模控制方案.为保证系统的鲁棒性,针对非匹配外界干扰设计一种改进的解耦干扰补偿器,估计误差有界收敛.通过引入幂次函数设计鲁棒离散准滑模控制器,消除系统抖振,给出切换函数准滑模带,并证明了闭环系统离散准滑动模态的稳定可达性.最后通过仿真验证了所提出控制方案的有效性.Robustness recovery and chattering reduction of the discrete-time quasi-sliding mode（D-QSM） are studied.A decoupled disturbance compensator（DDC） based robust D-QSM（RD-QSM） control method is proposed for a class of discrete-time systems with matched modeling error and unmatched external disturbance. In order to recover system robustness, an improved DDC is designed for unmatched disturbance. The estimation error of DDC is convergent and bounded. The power function（PF） is introduced in the improved RD-QSM control method, which can totally eliminate the chattering of system. The quasi-sliding mode band（QSMB） of the switch function is given. The D-QSM of the close-loop system is proved to be reachable and stable. Simulation results show the effectiveness of the proposed control method.

关 键 词：离散时间系统 准滑动模态 解耦干扰补偿器 非匹配不确定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]