Output synchronization of heterogeneous discrete-time systems: A model-free optimal approach

Automatica ◽  
2017 ◽  
Vol 84 ◽  
pp. 86-94 ◽  
Author(s):  
Bahare Kiumarsi ◽  
Frank L. Lewis
Keyword(s):  
Discrete Time ◽  
Model Free ◽  
Output Synchronization ◽  
Discrete Time Systems ◽  
Optimal Approach ◽  
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.

The Model-Free Learning Adaptive Control of a Class of Miso Nonlinear Discrete-Time Systems

1998 ◽  
Vol 31 (25) ◽  
pp. 227-232 ◽  
Author(s):  
Zhongsheng Hou ◽  
Cunwu Han ◽  
Wenhu Huang
Keyword(s):  
Adaptive Control ◽  
Discrete Time ◽  
Model Free ◽  
Discrete Time Systems ◽  
Time Systems

H∞ Tracking Control for Linear Discrete-Time Systems: Model-Free Q-Learning Designs

2021 ◽  
Vol 5 (1) ◽  
pp. 175-180
Author(s):  
Yunjie Yang ◽  
Yan Wan ◽  
Jihong Zhu ◽  
Frank L. Lewis
Keyword(s):  
Discrete Time ◽  
Tracking Control ◽  
Q Learning ◽  
Model Free ◽  
Systems Model ◽  
Discrete Time Systems ◽  
Time Systems
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