Adaptive Control for Nonlinear Pure-Feedback Systems With High-Order Sliding Mode Observer

2013 ◽  
Vol 24 (3) ◽  
pp. 370-382 ◽  
Author(s):  
Jing Na ◽  
Xuemei Ren ◽  
Dongdong Zheng
Keyword(s):  
Adaptive Control ◽  
Sliding Mode ◽  
High Order ◽  
Sliding Mode Observer ◽  
Feedback Systems

High‐order sliding‐mode observer–based input‐output linearization

2019 ◽  
Vol 29 (10) ◽  
pp. 3183-3199 ◽  
Author(s):  
A. Ferreira de Loza ◽  
L. Fridman ◽  
L. T. Aguilar ◽  
R. Iriarte
Keyword(s):  
Sliding Mode ◽  
High Order ◽  
Sliding Mode Observer ◽  
Input Output ◽  
Input Output Linearization

scholarly journals Adaptive Vibration Control of Piezoactuated Euler-Bernoulli Beams Using Infinite-Dimensional Lyapunov Method and High-Order Sliding-Mode Differentiation

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Teerawat Sangpet ◽  
Suwat Kuntanapreeda ◽  
Rüdiger Schmidt
Keyword(s):  
Adaptive Control ◽  
Lyapunov Method ◽  
Sliding Mode ◽  
High Order ◽  
Control Law ◽  
Flexible Beams ◽  
Infinite Dimensional ◽  
Infinite Dimensional Systems ◽  
Sensor Configuration ◽  
The Stability

This paper presents an adaptive control scheme to suppress vibration of flexible beams using a collocated piezoelectric actuator-sensor configuration. A governing equation of the beams is modelled by a partial differential equation based on Euler-Bernoulli theory. Thus, the beams are infinite-dimensional systems. Whereas conventional control design techniques for infinite-dimensional systems make use of approximated finite-dimensional models, the present adaptive control law is derived based on the infinite-dimensional Lyapunov method, without using any approximated finite-dimension model. Thus, the stability of the control system is guaranteed for all vibration modes. The implementation of the control law requires a derivative of the sensor output for feedback. A high-order sliding mode differentiation technique is used to estimate the derivative. The technique features robust exact differentiation with finite-time convergence. Numerical simulation and experimental results illustrate the effectiveness of the controller.

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