Title: Second order sliding mode PI-PD controller for inverted pendulum

Authors: Kirtiman Singh; Prabin Kumar Padhy

Addresses: PDPM Indian Institute of Information Technology Design and Manufacturing, Jabalpur, India ' PDPM Indian Institute of Information Technology Design and Manufacturing, Jabalpur, India

Abstract: In this paper, a second order sliding mode PI-PD controller is designed for inverted pendulum which helps to avoid the chattering problem existing in the first order sliding mode control. In this paper, a proportional-integral (PI) type surface-based second order sliding mode controller is designed using modified reaching law to improve the performance for nonlinear state differential equations with unknown parameters. To remove the problem of singularity and peak overshoot, a PD type sliding surface-based sliding mode controller is connected through the feedback. This paper highlights feedback compensator design for different sliding surface-based sliding mode controller and the important features of multiplexing different control inputs resulting in robustness and higher convergence of output. Stability study of the system has been done by using direct Lyapunov stability criterion. Simulations and experimental studies have been carried out to validate the controller.

Keywords: inverted pendulum; second order sliding mode control; Lyapunov stability criterion.

DOI: 10.1504/IJSCC.2017.085495

International Journal of Systems, Control and Communications, 2017 Vol.8 No.3, pp.217 - 229

Received: 19 Sep 2015
Accepted: 18 Jan 2017
Published online: 28 Jul 2017 *

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