A State Feedback Control Design for Generalized Fractional Systems Through Orthogonal Functions: Application to a Fractional Inverted Pendulum

2013 ◽  
Vol 15 (3) ◽  
pp. 773-782 ◽  
Author(s):  
Mohamed Karim Bouafoura ◽  
Naceur Benhadj Braiek
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Inverted Pendulum ◽  
Control Design ◽  
State Feedback Control ◽  
Orthogonal Functions ◽  
Fractional Systems

Stabilization of Inverted Pendulum on a Cart in the Presence of Uncertainties

2015 ◽  
Author(s):  
Joonho Lee ◽  
Jongeun Choi
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
State Feedback ◽  
Inverted Pendulum ◽  
Output Feedback Control ◽  
Control Design ◽  
High Gain ◽  
State Feedback Control ◽  
Dynamic Inversion ◽  
Pass Through

This paper presents an output feedback control design to stabilize the inverted pendulum at the upright equilibrium as an extension of our previous work [1]. Compared to our previous work, we add one more time scale between a pendulum angle and angular velocity to reduce a traveled distance of the cart. State feedback control is designed to enable the pendulum to pass through input singularity configurations. Extended High-Gain Observers are used to estimate velocity and acceleration terms while dynamic inversion utilizes the estimates to deal with input coefficient uncertainties and singularity configurations. The proposed control is verified through numerical simulations.

fuzzy state-feedback control design for nonlinear systems with -stability constraints: An LMI approach

2008 ◽  
Vol 78 (4) ◽  
pp. 514-531 ◽  
Author(s):  
Wudhichai Assawinchaichote ◽  
Sing Kiong Nguang ◽  
Peng Shi ◽  
El-Kébir Boukas
Keyword(s):  
Feedback Control ◽  
Nonlinear Systems ◽  
State Feedback ◽  
Control Design ◽  
State Feedback Control ◽  
Lmi Approach ◽  
Fuzzy State
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