N. V. Andrievskaya - Ph.D. (Eng.), Associate Professor, Perm National Research Polytechnic University. E-mail: nataly-anv@mail.ru
Y. N. Khizhnyakov - Dr.Sci. (Eng.), Professor, Perm National Research Polytechnic University

Designing of an automatic control system includes with necessity the estimating of stability. Automatic control systems not meeting the requirements of stability cannot be used in practice. Modern approaches to the control system designing include the neural networks and fuzzy logic. The problem of estimating the stability of systems based on neuro-fuzzy controllers is not fully resolved. The article presents some approaches (methods) of stability estimation for the systems with fuzzy control. The stability criterion based on the study of nonlinear systems is considered. The conditions of the criterion application are formed. The conversion of the fuzzy controller to the nonlinear static characteristic is considered in detail. The results of the circular criterion application to the systems of second and third order are presented.

 

1. KHizhnjakov JU.N., JUzhakov A.A. Nejjro-nechetkijj reguljator naprjazhenija obekta upravlenija // Priborostroenie. 2011. № 12. S. 53-58.
2. Andrievskaja N.V., Legotkina T.S., KHizhnjakov JU.N. K voprosu staticheskojj ustojjchivosti v sistemakh nechetkogo up­ravlenija obektami // Materialy konf. «Upravlenie v tekhnicheskikh, ehrgaticheskikh, organizacionnykh i setevykh sistemakh» (UTEHOSS-2012). Sankt-Peterburg. 2012.
3. Kahlert J., Frauk H. Fuzzy - Logic und Fuzzy - Control. Vieweg: 1996. 359 p.
4. Aracil J., Garcia-Cerezo A., Barreiro A., Ollero A. Stability analysis of fuzzy control systemsbased on the conicity criterion. In: Fuzzy logic: State of the art, Lowen, R. (Ed.). 1996. P. 487-496.
5. Pegat A. Nechetkoe modelirovanie i upravlenie. M.: Binom, laboratorijaznanijj. 2009. 798 s.