不确定离散时滞系统的保性能预见控制  

Guaranteed Cost Preview Control for Uncertain Discrete Systems with Time-delay

作　　者：徐玉洁[1,2] 廖福成[1] 

机构地区：[1]北京科技大学数理学院,北京100083 [2]北京科技大学自动化学院,北京100083

出　　处：《控制工程》2012年第6期1029-1032,1037,共5页Control Engineering of China

基　　金：国家自然科学基金项目(61174209)

摘　　要：针对一类带有状态时滞的线性离散不确定系统,提出一种基于LMI的保性能预见控制器设计方法。首先引入差分算子,将时滞系统转换为一般系统,同时对可预见的未来目标值信号作差分处理,构造出包含未来目标值信息的扩大误差系统;其次引入保性能控制,导出扩大误差系统在相应性能指标下渐近稳定的充分条件;最后通过求解一个有LMI约束的优化问题,得到了系统的最优保性能预见控制律。A method of guaranteed cost preview control design was derived for a class of uncertain discrete systems with state time-delay where the controller was based on linear matrix inequality（LMI）. The paper transformed the delay system into a general system without time-delay via difference operator. Then the augmented error system was obtained by adding the information of the foreseen objective sig- nal. The guaranteed cost control was introduced and the asymptotically stability sufficient condition was advanced for the augmented er- ror system under the performance index. Finally, the optimal guaranteed cost preview control was given by an optimization problem with LMI constraint condition.

关 键 词：线性矩阵不等式 扩大误差系统 渐近稳定 保性能控制 预见控制 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]