摘要
针对离散线性时滞系统,设计了最优滑模面和最优离散变结构控制律.在设计最优滑模面的过程中,利用逐次逼近算法,将既含有时滞项又含有超前项的两点边值问题转化为不含时滞项和超前项的线性两点边值问题,并证明了其解序列一致收敛于原系统的最优滑模.进一步给出了原系统的变结构控制律.
The optimal sliding surface and variable structure control are developed for discrete time-delay systems. In the optimal sliding surface designing process,by using the successive approximation approach （SAA）,the two-point boundary value （TPBV） problem with time-delay and time-advance terms is transformed into a sequence of TPBV problems without time-delay and time-advance terms. It is proved that the sequence of the solutions uniformly converge to the optimal sliding surface and the controller is designed.
出处
《控制与决策》
EI
CSCD
北大核心
2010年第2期299-302,306,共5页
Control and Decision
基金
国家自然科学基金项目(60574023)
关键词
离散系统
时滞系统
最优滑模
变结构控制
Discrete-time systems Time-delay systems Optimal sliding mode Variable structure control
