International Journal of Electronics and Communication Engineering.
ISSN 0974-2166 Volume 5, Number 3 (2012), pp. 363-370
© International Research Publication House
http://www.irphouse.com
Design of Quadratic Dynamic Matrix Control for
Driven Pendulum System
S. Srinivasulu Raju*, T.S. Darshan** and B. Nagendra***
E-mail id: srinu85raju@gmail.com*,
tsnagadarshan@gmail.com**,bnagendra44@gmail.com***
Abstract
This paper proposes a Quadratic Dynamic Matrix Control (QDMC) method to
control a driven pendulum system. Driven pendulum is a suspended
pendulum, which has a motorized propeller at the end of the stick, so it can be
controlled by controlling the voltage given to DC motor. Dynamic Matrix
Control (DMC) was the first Model Predictive Control (MPC) algorithm
introduced in early 1980s. These are proven methods that give good
performance and are able to operate for long periods without almost any
significant intervention. Today, DMC is available in almost all commercial
industrial distributed control systems and process simulation software
packages. The simulation results have proven that this method enhances the
stability as well as ease of tuning.
Keywords: QDMC; Driven pendulum; step response; model length; control
horizon; prediction horizon; MATLAB
Introduction
A simple pendulum system is a mechanical system that exhibits periodic motion. It
consists of particle like bob of mass suspended by a light string of length that is fixed
at the upper [1]. A Compound Pendulum is a standard topic in most physics courses
because it includes some physical subjects such as the simple harmonic motion, the
period of oscillation, the acceleration of gravity, the center of mass, the moment of the
inertia, momentum, etc. [2]. Literature Works [3]-[5] adopted types of compound
Pendulum. This type of pendulum described in this paper has a motorized propeller at
the end of the pendulum so it can lift the pendulum after given voltage. This concept
of pendulum system is useful and can be applied in real life. This system has many
applications such as measurement, scholar tuning, coupled pendulum, entertainment
etc., Kizmaz [6] proposed a sliding mode control for this system and the presented