摘要
已有二维系统的控制理论是建立在系统数据可以完全测量和传输的基础上。实际中,由于网络技术在控制系统中的应用,导致测量数据丢失现象经常发生。针对存在测量数据丢失的二维系统,提出一种状态反馈控制器的设计方法。首先将测量数据丢失描述为取值0和1的随机伯努利变量,在此基础上建立了闭环二维系统的随机模型。定义了随机意义下的均方稳定性,基于线性矩阵不等式给出了系统满足均方稳定的一个充分条件,该条件可以实现状态反馈控制器的设计。数值仿真验证了所提出方法的有效性。
The existing control theory for 2-D systems is established based on an implicit assumption that the measurement of system signals is perfect. However, measurement missing often occurs due to the application of network-based control in practice. The problem of state feedback control for a class of 2-D systems with measurement missing is considered. The measurement missing is modelled by a stochastic variable satisfying the Bernoulli random binary distribution, and then the stochastic model of closed-loop 2-D systems is built. The mean-square asymptotical stability for such 2-D systems is defined. A sufficient condition is established by means of linear matrix inequalities technique, and formulae can be given for the control law design. Numerical examples are also given to illustrate the effectiveness of the proposed approach.
出处
《控制工程》
CSCD
北大核心
2016年第7期1080-1084,共5页
Control Engineering of China
基金
国家自然科学基金项目(61203065)
