On Sampled-Data PI Control for Nonlinear Systems  

作　　者：XU Shuai LI Chanying 

机构地区：[1]Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [2]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Journal of Systems Science & Complexity》2024年第6期2511-2529,共19页系统科学与复杂性学报（英文版）

基　　金：supported in part by National Key R&D Program of China under Grant No.2018YFA0703800;the National Natural Science Foundation of China under Grant No.U21B6001;the China Postdoctoral Science Foundation under Grant No.2021TQ0352。

摘　　要：This paper studies sampled-data proportional-integral(PI)control for a basic class of nonlinear uncertain systems.The authors claim that a process with the first-order dynamics can achieve zero steady-state error through a sampled-data PI controller whenever the sampling period T<T_(0)(k_(p),k_(i),L),where T_(0)(k_(p),k_(i),L)is a number determined by the parameters kp,ki and the Lipschitz constant L of the system.On the other hand,once the sampling period T is given,the two parameters kp and ki of the sampled-data PI controller are apparently restricted by T,or the setpoint tracking error diverges.

关 键 词：Nonlinear systems sampled-data PI control setpoint tracking UNCERTAINTIES zero steadystate error 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]