Sergey B. Tkachev

Output maps with associated asymptotically stable zero dynamics

Abstract Conceptions of a relative degree and a minimum phase system are connected with many control problems. In order to apply them it is necessary to know the output map for which the affine system takes on the minimum phaseness property. We present necessary and sufficient conditions of the existence of such outputs. In the case of the relative degree more than one the obtained conditions result in a new setting of the stabilization problem.

Virtual Laboratory on Nonlinear Control

Abstract This paper presents the virtual laboratory software developed at the Department of Mathematical Modeling (BMSTU). The laboratory is designed as an educational tool for the nonlinear control courses. It allows to see 3D demonstrations of control processes for various nonlinear systems. The laboratory software package is developed using the Python programming language. It has open code and architecture. The laboratory includes such models as inverted pendulum on a car, ball and beam system, reaction wheel pendulum, Furuta pendulum and other models of most popular nonlinear systems.

Postgraduate Education in Nonlinear Dynamical Systems and Automatic Control in Aerospace

Abstract This note deals with the postgraduate educational programmes offered by the Department of Mathematical Modeling (BMSTU) both in English and in Russian. They include the Masters and PhD programmes in control of nonlinear dynamical systems. The programmes are specifically focused on nonlinear control techniques. The students are provided both with the theoretical courses in modern nonlinear control theory and applied courses in control of spacecrafts, aircrafts and mobile robots. Application examples in aerospace control are considered.