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Journal of Control Science and Engineering
Volume 2014, Article ID 576868, 7 pages
Research Article

Application of Combinatorial Interaction Design for DC Servomotor PID Controller Tuning

Software Engineering Department, Salahaddin University-Hawler (SUH), Kirkuk Road, Erbil 44002, Kurdistan, Iraq

Received 22 January 2014; Revised 23 March 2014; Accepted 25 March 2014; Published 16 April 2014

Academic Editor: Petko Petkov

Copyright © 2014 Mouayad A. Sahib et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Combinatorial optimization has been used in different research areas. It has been employed successfully in software testing fields to construct minimum set of combinations (i.e., in terms of size) which in turn represents the minimum number of test cases. It was also found to be a successful approach that can be applied to solve other similar problems in different fields of research. In line with this approach, this paper presents a new application of the combinational optimization in the design of PID controller for DC servomotor. The design of PID controller involves the determination of three parameters. To find optimal initial PID parameters, different tuning methods have been proposed and designed in the literature. The combinatorial design is concerned with the arrangement of finite set of elements into combinatorial set that satisfies some given constraints. Consequently, the proposed method takes the interaction of the input parameters as a constraint for constructing this combinatorial set. The generated sets are then used in the proposed tuning method. The method proved its effectiveness within a set of experiments in a simulated environment.