scholarly journals On stabilization of a triple inverted pendulum via vibration of a support point with an arbitrary frequency

Author(s):  
Mustefa Jibril ◽  
Messay Tadese ◽  
Eliyas Alemayehu Tadese

In this paper, modelling design and analysis of a triple inverted pendulum have been done using Matlab/Script toolbox. Since a triple inverted pendulum is highly nonlinear, strongly unstable without using feedback control system. In this paper an optimal control method means a linear quadratic regulator and pole placement controllers are used to stabilize the triple inverted pendulum upside. The impulse response simulation of the open loop system shows us that the pendulum is unstable. The comparison of the closed loop impulse response simulation of the pendulum with LQR and pole placement controllers results that both controllers have stabilized the system but the pendulum with LQR controllers have a high overshoot with long settling time than the pendulum with pole placement controller. Finally the comparison results prove that the pendulum with pole placement controller improve the stability of the system.


1992 ◽  
Vol 4 (6) ◽  
pp. 490-496
Author(s):  
Tsuyoshi Yasui ◽  
◽  
Kazuo Yamafuji ◽  

In the previous papers, we reported the motion control methods and experimental results on the parallel bicycle which is composed of a double inverted pendulum type body pivoted on the axis of parallel wheels and a pair of controlling arms suspended from the upper end of the body. The inverted pendulum type parallel bicycle can stabilize itself skillfully and move according to the servo reference by means of its controlling arms or the wheels. However, it cannot negotiate uneven paths such as stairs. For travels on uneven paths, we have developed a new type of parallel bicycle with an articulated joint connecting two divided body sections. This bicycle can change its configuration by folding its body, and can adapt itself to different environments or applications. Some control methods for the new vehicle and experimental results are described in detail in this paper.


Sign in / Sign up

Export Citation Format

Share Document