Random Stabilization of Sampled-data Control Systems with Nonuniform Sampling  

作　　者：Bin Tang Qi-Jie Zeng De-Feng He Yun Zhang School of Automation, Guangdong University of Technology, Guangzhou 510006, China 

出　　处：《International Journal of Automation and computing》2012年第5期492-500,共9页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China (Nos.61104105,U0735003 and 60974047);Natural Science Foundation of Guangdong Province of China (No.9451009001002702)

摘　　要：For a sampled-data control system with nonuniform sampling, the sampling interval sequence, which is continuously distributed in a given interval, is described as a multiple independent and identically distributed (i.i.d.) process. With this process, the closed-loop system is transformed into an asynchronous dynamical impulsive model with input delays. Sufficient conditions for the closed-loop mean-square exponential stability are presented in terms of linear matrix inequalities (LMIs), in which the relation between the nonuniform sampling and the mean-square exponential stability of the closed-loop system is explicitly established. Based on the stability conditions, the controller design method is given, which is further formulated as a convex optimization problem with LMI constraints. Numerical examples and experiment results are given to show the effectiveness and the advantages of the theoretical results.For a sampled-data control system with nonuniform sampling, the sampling interval sequence, which is continuously distributed in a given interval, is described as a multiple independent and identically distributed (i.i.d.) process. With this process, the closed-loop system is transformed into an asynchronous dynamical impulsive model with input delays. Sufficient conditions for the closed-loop mean-square exponential stability are presented in terms of linear matrix inequalities (LMIs), in which the relation between the nonuniform sampling and the mean-square exponential stability of the closed-loop system is explicitly established. Based on the stability conditions, the controller design method is given, which is further formulated as a convex optimization problem with LMI constraints. Numerical examples and experiment results are given to show the effectiveness and the advantages of the theoretical results.

关 键 词：Sampled-data control system nonuniform sampling independent and identically distributed (i.i.d.) process mean-square exponential stability controller design 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]