A. A. Nesterov

Inverted pendulum control with allowance for energy dissipation

The behavior of an inverted pendulum hinged on the wheel axis is studied. An algorithm is proposed for solving both the problem of pendulum stabilization in a given position relative to the vertical and the problem of controlling the velocity of the platform on which the pendulum is located under conditions of energy dissipation. Recommendations on choosing control system parameters are given, and the time of transitional processes is estimated.

Using the Kalman filter in the quadrotor vehicle trajectory tracking system

A problem of control of quadrotor vehicle motion over a trajectory defined implicitly in the coordinate space is considered. The previously proposed system of automated control of quadrotor vehicle flight is supplemented with relations based on an extended Kalman filter for estimating the plant state vector and the systematic error of measurements. The workability of the control system in the presence of the measurement noise is verified by results of modeling and experiments with the AR.Drone quadrotor vehicle.

Control of flight parameters of a quadrotor vehicle moving over a given trajectory

The problem of control of an autonomous unmanned aerial vehicle with vertical takeoff and landing, which moves over a trajectory specified in the coordinate space, is considered. A method of constructing a system of automatic control of quadrotor vehicle takeoff and flight is proposed. Analytical relations for control actions on four engines that ensure vehicle motion over a prescribed trajectory with desired values of altitude and velocity are derived.

Aircraft attitude control

The problem of control of the aircraft attitude in a three-dimensional space is considered. The attitude is described by the Euler angles between the axes of the body-fixed coordinate system and the Earth frame. A method of calculating the torque driving the aircraft to a prescribed attitude is proposed. A controller implementing this method is presented. Results of simulations are reported.

Decentralized control of mobile robots in formation

A control scheme for mobile robot formation in the leader following mode is proposed. It enables to track the target and is based on using a sliding mode along the desired trajectory in the state space. Results of modeling using MATLAB/SIMULINK environment are presented. They confirm efficiency of the proposed algorithm.

Aircraft path planning with the use of smooth trajectories

A simplified method of plane trajectory calculation is proposed for solving the problem of planning a path defined by a sequence of waypoints. The trajectory consists of oriented segments of straight lines joined by clothoids (Cornu spirals). The efficiency of the method is validated by means of numerical simulations in the MATLAB/Simulink environment.

Decentralized control of quadrotors in a leader–follower formation

A problem of control of quadrotors in a leader–follower formation is considered. A method is proposed, which allows control actions for the follower robot to be formed only on the basis of information about the follower motion parameters and the relative positions of the leader and follower.

Robust leader–follower formation control of mobile robots by the structural synthesis method

A problem of control of the motion of mobile robots with a differential drive in a leader–follower formation is considered. The proposed method of structural synthesis allow one to form control inputs for robots–followers only on the basis of information about the relative positions of the followers and the leader without using the absolute values of the spatial coordinates of the robots. The algorithm efficiency is confirmed by results of numerical experiments.

Correction of transportation lag in the mobile robot control system

The influence of the transportation lag and the classical methods of its correction in a control system for a mobile robot with a differential drive are considered. Such effects as slipping of wheels and surface roughness are demonstrated to restrict the area of applicability of conventional algorithms of time lag correction. A time lag correction method is proposed, which is based on analytical extrapolation and extended Kalman filter. Experimental results confirm the efficiency of the approach proposed.

Method of quadrotor flight control in the target tracking problem

A problem of control of trajectory motion of a quadrotor vehicle is considered. The choice of the form of required differential equations in the previously proposed method of tracking of a moving target is justified. The workability of the control system in the presence of measurement noise and external perturbations is confirmed by results of experiments with the AR.Drone quadrotor.