Numerical adaptive learning control scheme for discrete-time non-linear systems

2013 ◽  
Vol 7 (11) ◽  
pp. 1472-1486 ◽  
Author(s):  
Qinglai Wei ◽  
Derong Liu
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Adaptive Learning ◽  
Learning Control ◽  
Control Scheme ◽  
Non Linear ◽  
Non Linear Systems ◽  
Adaptive Learning Control

Adaptive control of a class of non-linear systems preceded by backlash-like hysteresis

2014 ◽  
Vol 24 (5) ◽  
Author(s):  
JIANPING CAI ◽  
LUJUAN SHEN ◽  
FUZHEN WU
Keyword(s):  
Differential Equation ◽  
Adaptive Control ◽  
Linear Systems ◽  
Tracking Error ◽  
Robust Adaptive Control ◽  
Unknown Parameters ◽  
Control Scheme ◽  
Non Linear ◽  
Non Linear Systems ◽  
Robust Adaptive

We consider a class of uncertain non-linear systems preceded by unknown backlash-like hysteresis, which is modelled by a differential equation. We propose a new state feedback robust adaptive control scheme using a backstepping technique and properties of the differential equation. In this control scheme, we construct a new continuous function to design an estimator to estimate the unknown constant parameters and the unknown bound of a ‘disturbance-like’ term. The transient performance of the output tracking error can be guaranteed by the introduction of pre-estimates of the unknown parameters in our controller together with update laws. We do not require bounds on the ‘disturbance-like’ term or unknown system parameters in this scheme. The global stability of the closed-loop system can be proved.

Integral-based event-triggered control scheme for a general class of non-linear systems

2015 ◽  
Vol 9 (13) ◽  
pp. 1982-1988 ◽  
Author(s):  
Seyed Hossein Mousavi ◽  
Mohsen Ghodrat ◽  
Horacio J. Marquez
Keyword(s):  
Linear Systems ◽  
General Class ◽  
Control Scheme ◽  
Non Linear ◽  
Non Linear Systems ◽  
Event Triggered
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