Adaptive PID Control System with Adaptive NN Feedforward for Discrete-Time Systems

2014 ◽  
Vol 134 (9) ◽  
pp. 1175-1181 ◽  
Author(s):  
Taro Takagi ◽  
Ikuro Mizumoto
Keyword(s):  
Control System ◽  
Discrete Time ◽  
Pid Control ◽  
Discrete Time Systems ◽  
Adaptive Pid Control ◽  
Time Systems

Model-free adaptive PID control for nonlinear discrete-time systems

2020 ◽  
Vol 42 (10) ◽  
pp. 1797-1807 ◽  
Author(s):  
Shuhua Zhang ◽  
Ronghu Chi
Keyword(s):  
Discrete Time ◽  
Mathematical Analysis ◽  
Pid Control ◽  
Contraction Mapping Principle ◽  
Unknown Parameters ◽  
Model Free ◽  
Discrete Time Systems ◽  
Gradient Parameter ◽  
Adaptive Pid Control ◽  
Time Systems

This work explores a model-free adaptive PID (MFA-PID) control for nonlinear discrete-time systems with rigorous mathematical analysis under a data-driven framework. An improved compact form dynamic linearization (iCFDL) is proposed to transfer the original nonlinear system into an affined linear data model including a nonlinear residual term. Both a time-difference estimator and a gradient parameter estimator are designed to estimate the nonlinear residual uncertainties and the unknown parameters in the iCFDL model. Subsequently, a novel improved CFDL based MFA-PID (iCFDL-MFA-PID) control is proposed by incorporating these two estimators. The results are extended by the use of improved partial format dynamic linearization (iPFDL) and full format dynamic linearization (iFFDL). The theoretical results are shown using contraction mapping principle-based mathematical analysis, as well as simulations.

scholarly journals Observer-based H∞ PID control for discrete-time systems under hybrid cyber attacks

2021 ◽  
Vol 9 (1) ◽  
pp. 232-242
Author(s):  
Pengyu Wen ◽  
Nan Hou ◽  
Yuxuan Shen ◽  
Jiahui Li ◽  
Yi Zhang
Keyword(s):  
Discrete Time ◽  
Pid Control ◽  
Cyber Attacks ◽  
Discrete Time Systems ◽  
Time Systems

Actuator Placement Using Degree of Controllability for Discrete-Time Systems

1992 ◽  
Vol 114 (3) ◽  
pp. 508-516 ◽  
Author(s):  
Xing Guangqian ◽  
Peter M. Bainum
Keyword(s):  
Control System ◽  
Discrete Time ◽  
Transient Responses ◽  
Placement Problem ◽  
General Properties ◽  
Discrete Time Systems ◽  
Scalar Measure ◽  
Actuator Placement ◽  
Time Systems

In this paper some definitions of degree of controllability (observability), which is based on the scalar measure of the controllability (observability) Grammian matrix, are presented for discrete-time systems. The emphasis here is in showing the physical and geometrical meanings of the degree of controllability (observability) and the general properties of degree of controllability (observability). The concepts of degree of controllability are applied to the actuator placement problem for the shallow spherical sheel control system. The LQG transient responses for several typical systems with different degrees of controllability are also shown.

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