Comparative study regarding the optimization and analysis of automatic systems using PID, LQR and PI-MIMO

Authors:
Paul Ciprian Patic;Luminita Duta
Affiliations:
Automatics, Informatics and Electrical Engineering Department, Valahia University of Targoviste, Targoviste, Romania;Automatics, Informatics and Electrical Engineering Department, Valahia University of Targoviste, Targoviste, Romania
Venue:
WSEAS TRANSACTIONS on SYSTEMS
Year:
2010

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Abstract

Automatic modeling system using Matlab-Simulink software package applies the Cohen-Coon method for determining the closed loop PID parameters and plotting the system response clue. Implementing the same system in closed loop PID adjustment using LabVIEW software package, requires, at first, an additional procedure, namely, the use of transfer functions in Z domain, that means the use of sampling signal. The study from this paper intends to determine the parameters of a PID regulator using two software packages - MATLAB-Simulink and LabVIEW. As a mathematical pattern a DC machine has been used. To exemplify regulators PID, LQR (Linear Quadratic Regulator) and PI-MIMO (PI - Multiple Input Multiple Output) were used. The application is easy to be implemented, the inverted pendulum being used to emphasize the results. The closed loop system and its evolution over time are easily implemented. This software package offers an easy user interface, which means that is convenient to introduce the program functions.