350 rub
Journal Science Intensive Technologies №6 for 2013 г.
Article in number:
Construction of stabilization algorithms of controlled systems on the base of properties of linear matrix inequalities
Keywords:
stability
stabilization
controlled system
singleton-output
Lyapunov function
linear matrix inequalities
Authors:
O.V. Druzhinina, O.N. Masina, E.V. Igonina
Abstract:
Stability conditions are considered and stabilization algorithms of continuous and discrete control systems with singleton-output are constructed. Stability conditions and stabilization algorithms are based on combined using of Lyapunov functions and properties of linear matrix inequalities. Obtained results stability conditions can be use in problems of stability and qualitative behavior of technical systems, in problems of safety of transport systems and in mathematical control theory.
Pages: 4-8
References
- Vasil'ev S.N. K intellektnomu upravleniyu // Nelinejnaya teoriya upravleniya i ee prilozheniya. M.: Fizmatlit. 2000. S. 57-126.
- Sugeno M. On stability of fuzzy systems expressed by fuzzy rules with singleton consequents // IEEE Transactions on Fuzzy Systems. 1999. V. 7. № 2. P. 201-224.
- Sugeno M., Murakami K. Fuzzy parking control of model car // Proc. 23rd IEEE Conf. Decision Contr. Las Vegas. 1984. P. 902-903.
- Sugeno M., Winston H., Hirano I., Kotsu S. Intelligent control of an unmanned helicopter based on fuzzy logic // Proc. Amer. Helicopter Soc. SIstAnnu. Forum. Houston. 1995. P. 791-803.
- Pegat A. Nechetkoe modelirovanie i upravlenie. M.: BINOM. Laboratoriya znanij. 2009.
- Pospelov D.A. Logiko-lingvisticheskie modeli v sistemax upravleniya. M.: E'nergoizdat. 1981.
- Tanaka K., Wang H.O. Fuzzy control systems design and analysis: a linear matrix inequality approach. N.Y.: Wiley. 2001.
- Shestakov A.A. Obobshhenny'j pryamoj metod Lyapunova dlya sistem s raspredelenny'mi parametrami. M.: URSS. 2007.
- Merenkov Ju.N. Matematicheskoe modelirovanie i kachestvenny'j analiz matematicheskix modelej dinamicheskix sistem. Diss. d.f.-m.n. M.: RGOTUPS. 2003.
- Masina O.N., Druzhinina O.V. Modelirovanie i analiz ustojchivosti nekotory'x klassov sistem upravleniya. M.: VC RAN. 2011.