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Analysis and optimization of automatic systems using PID and LQR. (English) Zbl 1231.90398

Grigoriu, Mircea (ed.) et al., Recent advances in computational intelligence. Proceedings of the 4th WSEAS international conference on computational intelligence (CI’10), Bucharest, Romania, April 20–22, 2010. Athens: World Scientific and Engineering Academy and Society (WSEAS) (ISBN 978-960-474-183-0/CD-ROM; 978-960-474-179-3/hbk). Electrical and Computer Engineering Series. A Series of Reference Books, 68-73 (2010).
Summary: 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. 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. To exemplify regulators PID, LQR (linear quadratic regulator) 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.
For the entire collection see [Zbl 1202.68006].

MSC:

90C90 Applications of mathematical programming

Software:

Simulink; LabVIEW; Matlab
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