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Theoretical mechanics
On the base of asymptotic method developed by K.Abgaryan some classes of problems of stationary and non-stationary control of automatic-control systems were considered. The automatic-control system of multi-element bar structures was created. Design optimization problems of bar systems made of composite materials under restriction on stiffness, strength and vibration were considered. (K.Abgaryan and others)

The optimal control modes for manipulation robots with electric drives are found, taking into account the requirements of time-optimal and reduction of heat energy losses. A technique has been developed for the optimal guaranteed search for stationary and moving objects in the detection problem and the detection problem with subsequent bringing to the target object. Control algorithms, including optimal control, are constructed in the problem of collision avoidance for dynamic objects. (Avetisyan V.V.)

Optimal modes of kinematic and dynamic control have been developed for the multi-ring elastic manipulator. The movement of the aircraft with flexible solar panels in the form of elastic plates was studied. The mathematical model of the controlled technological process has been built, in which the manipulator serves the work of objects with different criteria of optimality. Guaranteed control algorithms have been developed for the adaptive manipulator operating in conditions of uncertainty. (Ghukasyan A.A.)

Criteria of complete controllability and observability for dynamical systems with variable structure are obtained. Qualitative properties of controllability and observability are revealed. Constructive methods of solving problems of control and optimal control with constraints on different parts of coordinates of the phase vector of dynamic systems have been developed. Problems of control and optimal control of systems with concentrated and distributed parameters are solved. (Barseghyan V.R.)