Multi-Innovation Gradient Parameter Estimation Based Adaptive Control for Discrete-Time Systems

2007 ◽  
Author(s):  
Jiabo Zhang ◽  
Feng Ding ◽  
Yang Shi
Keyword(s):  
Parameter Estimation ◽  
Adaptive Control ◽  
Discrete Time ◽  
Discrete Time Systems ◽  
Gradient Parameter ◽  
Time Systems

Adaptive Control for Discrete-Time Systems with Time-Varying Delay

2014 ◽  
Vol 556-562 ◽  
pp. 2289-2292
Author(s):  
Cun Wu Han ◽  
De Hui Sun ◽  
Song Bi
Keyword(s):  
Parameter Estimation ◽  
Adaptive Control ◽  
Discrete Time ◽  
Time Varying ◽  
Robust Controller ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Varying Delay

This paper presents an adaptive robust controller for discrete-time systems with time-varying uncertainty and time-varying delay. The controller is designed based on the online parameter estimation and robust H∞ approach. Simulation result is given to verify the effectiveness of the proposed controller.

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.

Adaptive Control of Discrete-Time Systems with Unknown, Unstable Zero Dynamics

2020 ◽  
Author(s):  
Syed Aseem Ul Islam ◽  
Tam W. Nguyen ◽  
Ilya V. Kolmanovsky ◽  
Dennis S. Bernstein
Keyword(s):  
Adaptive Control ◽  
Discrete Time ◽  
Zero Dynamics ◽  
Discrete Time Systems ◽  
Time Systems
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