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 thro...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.展开更多
基金supported in part by National Key R&D Program of China under Grant No.2018YFA0703800the National Natural Science Foundation of China under Grant No.U21B6001the China Postdoctoral Science Foundation under Grant No.2021TQ0352。
文摘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.
