Application of Switching Functions on Inverted
Pendulum System
Rishabh Selot
1
and Dr. Jyoti Ohri
2
1-2
Dept of Electrical Engg, National Institute of Tecnology, Kurukshetra
Email: rishabh_32014117@nitkkr.ac.in, ohrijyoti@nitkkr.ac.in
Abstract—In several investigations on control systems, sliding mode control has been identified
as a beneficial instrument. The system is stable due to SMC's tolerance to instabilities and
model heterogeneity. Furthermore, the chattering phenomena hinders system performance and
may possibly lead to disruption. This paper deals with the application of different switching
functions on inverted pendulum system. Further the comparison between them has also been
done. Simulation results are given to demonstrate the effectiveness of the proposed approaches.
Index Terms— inverted pendulum, sliding mode control (smc), dynamical object, non-linear
control, saturation function, signum function, Hyperbolic function.
I. INTRODUCTION
In industrial applications, inverted-pendulum systems always present a number of issues, such as variable
nonlinear behaviours under different operating circumstances. Extrinsic interferences and physical restraints
some variables.[1] Consequently, the objective of real-time stabilising controlling the tracking of a highly
nonlinear unstable inverted pendulum system has been a difficulty for the current control community. In recent
years, the control difficulties of inverted-pendulum systems have been thoroughly researched due to the
challenging requirement for rapid and precise performance[2]. The mechanical structure of these systems can be
categorised into three basic kinds, as described in the literature. One is a pendulum with one degree of freedom
(dof) set on a base that rotates around the vertical axis or is controlled by a linear slide. The second is a double[3]
or triple inverted pendulum[4] with many dofs that is driven by a cart. A second example is a two-dof pendulum
mounted on a robot with decoupled or weakly coupled linkages. Earlier research include controlling methods
like pd,pid,mpc on inverted pendulum[5].
The inverted pendulum device is recognized basic experimental in electronic control control theory and a
common physical prototype in control theory education and research. The system's stability control is
remarkably equivalent to those of walking robots, aircraft, and elevator hook devices[6]. As a controlled device,
the inverted pendulum system is inexpensive and seems to have a basic design. Like a control mechanism, an
inverted pendulum system has a basic structure and a cheap cost. Combining mechanics, mathematics, and
electrical, In the system of inverted pendulums, the control device has a wide range of applications. The inverted
pendulum, as a controlled object, is a greater, volatile, multivariate, non - linear, strong-coupling, and rapid
system.[7] Only if suitable control mechanisms are established can it be stable. The inverted pendulum would be
both broad and representative of stability control issues. Consequently, it has substantial theoretical relevance
and real applications significance for pendulum exploration.
Grenze ID: 01.GIJET.9.1.528_1
© Grenze Scientific Society, 2023
Grenze International Journal of Engineering and Technology, Jan Issue