This paper proposes an approach for the minimum time swing upof a rotary inverted pendulum. Our rotary inverted pendulum is supported bya pivot arm. The pivot arm rotates in a horizontal plane by means of a servomotor. The opposite end of the arm is instrumented with a joint whose axisis along the radial direction of the motor. A pendulum is suspended at thejoint. The task is to design a contro...

This paper proposes a model called the gravitycompensated inverted pendulum mode (G CIPM) to generate a biped locomotion pattern that is similar to the one generated by the linear inverted pendulum mode, but accommodates the free leg dynamics based upon its predetermined trajectory. When the biped locomotion based upon the linear inverted pendulum mode is applied to real biped robots, the stabi...

Reinforcement learning has been active research area not only in machine learning but also in control engineering, operation research and robotics in recent years. It is a model free learning control method that can solve Markov decision problems. Q-learning is an incremental dynamic programming procedure that determines the optimal policy in a step-by-step manner. It is an online procedure for...

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 archit...

This paper proposes a study on the linearization of a four wheeled mobile robot with wheel arms, its behavior with a variable structure control for both linearized system and nonlinear system when it transform to two wheeled inverted pendulum state from four wheeled state. It also proposes a control technique to stabilize the system in inverted pendulum mode after the system transforms. Since t...

In recent years, Particle Swarm Optimization has evolved as an effective global optimization algorithm whose dynamics has been inspired from swarming or collaborative behavior of biological populations. In this paper, PSO has been applied to Triple Link Inverted Pendulum model to find its reduced order model by minimization of error between the step responses of higher and reduced order model. ...