Trajectory Tracking of Linear Inverted Pendulum Using Integral Sliding Mode Control

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Punitkumar Bhavsar 1,* Vijay Kumar 1

1. Electronics & Computer Engineering Department, Indian Institute of Technology Roorkee, Uttarakhand, India

* Corresponding author.


Received: 21 Sep. 2011 / Revised: 5 Jan. 2012 / Accepted: 11 Mar. 2012 / Published: 8 Jun. 2012

Index Terms

Linear Inverted pendulum, Linear quadratic regulator (LQR), Integral sliding mode control


This paper considers the trajectory tracking control of linear inverted pendulum (IP) system. First the linearized model of IP is derived to facilitate the control design. To avoid non robust reaching phase, integral sliding mode control (ISMC) has been proposed but single variable case is tested. Linear IP is a multivariable system having angle of pendulum and position of cart are two variables to be controlled. In control design, the LQR control is designed as a nominal control to get the desired trajectory. Then discontinuous control using integral sliding mode(ISM) is introduced to get desired trajectory tracking in the presence of uncertainties. This control is robust to the model uncertainties and disturbances during entire motion of the states. The simulation results are presented to show the effectiveness of proposed control scheme. The results are compared with LQR control to show the integral sliding mode control is having better tracking performance in the presence of uncertainties.

Cite This Paper

Punitkumar Bhavsar, Vijay Kumar, "Trajectory Tracking of Linear Inverted Pendulum Using Integral Sliding Mode Control", International Journal of Intelligent Systems and Applications(IJISA), vol.4, no.6, pp.31-38, 2012. DOI:10.5815/ijisa.2012.06.04


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