O.V. Druzhinina - Dr.Sc. (Phys.-Math.), Professor, Chief Researcher, Federal Research Center «Informatics and Management» of the Russian Academy of Sciences. E-mail: ovdruzh@mail.ru O.N. Masina - Dr.Sc. (Phys.-Math.), Professor, Department of Mathematical Modeling and Computer Technologies, Yelets State University named after I.A. Bunin. E-mail: olga121@inbox.ru E.V. Igonina - Assistant, Department of Applied Mathematics and Informatics, Yelets State University named after I.A. Bunin. E-mail: elenaigonina7@mail.ru

An approach to the synthesis of control of dynamic system with switching based on presentation of the original system by the Takagi-Sugeno model (TS-model) is proposed. To construct a logic controller, the procedure of dynamic parallel distributed compensation (DPRK) is used. The conditions of stability in the form of modified linear matrix inequalities are obtained. On example of the inverted pendulum control system, the synthesis of the control of inverted pendulum with switching is carried out and computational experiment is made. Parameters of the logical DPRK-regulator stabilizing the inverted pendulum are found. The approach considered in the work is directed on effective control of dynamic objects and processes at constantly changing external influences and existence of parametrical uncertainty of object. The obtained results can be used at design and improvement of the controlled technical systems.

 

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