Otro
Proportional controllers: Direct method for stability analysis and MATLAB implementation
Registro en:
IEEE Transactions on Education. Piscataway: IEEE-Inst Electrical Electronics Engineers Inc., v. 50, n. 1, p. 74-78, 2007.
0018-9359
10.1109/TE.2006.888903
WOS:000244311400012
Autor
Teixeira, Marcelo C. M.
Assuncao, Edvaldo
Covacic, Marcio Roberto
Resumen
In most cases, the cost of a control system increases based on its complexity. Proportional (P) controller is the simplest and most intuitive structure for the implementation of linear control systems. The difficulty to find the stability range of feedback systems with P controllers, using the Routh-Hurwitz criterion, increases with the order of the plant. For high order plants, the stability range cannot be easily obtained from the investigation of the coefficient signs in the first column of the Routh's array. A direct method for the determination of the stability range is presented. The method is easy to understand, to compute, and to offer the students a better comprehension on this subject. A program in MATLAB language, based on the proposed method, design examples, and class assessments, is provided in order to help the pedagogical issues. The method and the program enable the user to specify a decay rate and also extend to proportional-integral (PI), proportional-derivative (PD), and proportional-integral-derivative (PID) controllers.