When considering the issue of synthesis an automatic control system by a modular method using polynomial decomposition transfer functions object and controller, algorithms for fully controlled systems are proposed. However, question arises about possibilities this algorithm if condition is not met. The consideration is-sue turned out to be especially relevant multichannel models objects with no...

A controlled Lagrangian approach is presented for the stabilization of an inverted pendulum mounted on a cart. The stabilization strategy consists in forcing the closed-loop system to behave as an Euler-Lagrange system, with a fixed inertia matrix. For carrying it out, it is necessary to adequately shape the potential and kinetic energies of the closed-loop system. The idea behind this procedur...

Inverted pendulum system is a complex, unstable and nonlinear system. In order to make it become an adaptive and robust stable system in control strategy, the mathematical model of linear l-stage inverted pendulum has been established by means of Newton mechanics. The control strategies including classic control methods and modern control methods, such as the PID control algorithm, the pole ass...

The hybrid solution to the pendulum swinging-up and stabilizing problem introduced by Åström and Furuta is based in two steps: an energy injection and a linear stabilization around the desired inverted position. However the energy injection stage only considers the pendulum, and not the motion of the pivot. Furthermore, for the stabilization stage linear law, only a very small basin of attracti...

The problems of swinging up an inverted pendulum on a cart and controlling it around the upright position have been traditionally treated as two separate problems. This paper proposes a strategy that is globally asymptotically stabilizing under actuator saturation and, in addition, locally exponentially stabilizing. The proposed methodology performs swing up and control simultaneously and uses ...

In this project, we apply reinforcement learning techniques to control an inverted double pendulum on a cart. We successfully learn a controller for balancing in a simulation environment using Qlearning with a linear function approximator, without any prior knowledge of the system at hand. We do however fail to learn a controller for the swingup maneuver, which leads to a discussion on what mig...

This study aims to develop a controller for use in the online simulation of two interacting characters. This controller is capable of generalizing two sets of interaction motions of the two characters based on the relationships between the characters. The controller can exhibit similar motions to a captured human motion while reacting in a natural way to the opponent character in real time. To ...