Control of a Rigid Body Carrying Dissipative Oscillators under Perturbations

@article{Ananevskii2019ControlOA,
  title={Control of a Rigid Body Carrying Dissipative Oscillators under Perturbations},
  author={I. M. Anan’evskii and T. A. Ishkhanyan},
  journal={Journal of Computer and Systems Sciences International},
  year={2019},
  volume={58},
  pages={40-49}
}
This paper considers a system consisting of a carrier body and two linear dissipative oscillators attached to it. The body moves in a straight horizontal line under the action of a bounded control force and a small unknown perturbation. It is assumed that the coordinate and velocity of the body are known at all times and the phase states of the oscillators cannot be measured. A control law which stops the carrier body at the origin of coordinates in finite time is proposed. The effectiveness of… 

Controlled Motion of a Platform with Elastic Elements

  • I. Ananievski
  • Engineering
    2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)
  • 2020
The law of a bounded control is constructed, which allows to bring a platform with elastic elements to a given state of rest under incomplete information about the phase state of the system and in

Motion Control for Platforms Bearing Elastic Links with Unknown Phase States

  • I. M. Anan’evskii
  • Mathematics, Engineering
    Journal of Computer and Systems Sciences International
  • 2019
We consider the problem on the controlled motion of a platform such that a solid body bearing a dissipative oscillator is attached to it by means of a spring. The platform moves along a horizontal

References

SHOWING 1-10 OF 10 REFERENCES

Control of a turntable on a mobile base in the presence of perturbations

Control of an electromechanical system consisting of two rigid bodies connected by an electric motor is considered. Both bodies can rotate about a common axis. This system is a simplified model of a

Quasi-optimal control of rotation of a rigid body about a fixed axis taking friction into account

A mechanical system is considered that consists of a rotating base and a rigid body which can rotate with respect to the base around the axis coinciding with the axis of the base rotation. The

Control of the apparent acceleration of a rigid body attached to a movable base by means of a two-degree-of-freedom gimbal

A mechanical system consisting of a movable base and an object (rigid body) connected to the base by means of a two-degree-of-freedom gimbal with mutually perpendicular axes is considered. The

Bounded feedback controls for linear dynamic systems by using common Lyapunov functions

This paper considers the problem of synthesizing a bounded control of a linear dynamical system satisfy� ing the Kalman controllability condition. An approach is developed which makes it possible to

A Local Feedback Control Bringing a Linear System to Equilibrium

A bounded feedback control that steers a controllable linear system to equilibrium in a finite time by solving several linear-algebraic problems, including linear matrix inequalities.

Mathematical Control Theory: Deterministic Finite Dimensional Systems

This book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects, covering a wide range of topics written in a standard theorem/proof style and develops the necessary techniques from scratch.