This paper describes a new inverted pendulum system that is useful to illustrate important aspects of nonlinear control systems theory. The stabilization of the pendulum is to be achieved by the on–off action of two electromagnets; therefore, an adequate switching policy has to be applied. The pendulum can be controlled by a computer, using simple electronic interface circuits. This paper consi...

This paper presents a possible way to control the a very fast nonlinear systems. The system of the inverted pendulum was chosen as an exemplar process. This is an example of the nonlinear single-input multi-output process with a sampling period in order of milliseconds. The state-space predictive control was chosen as a control method and the system is described by CARIMA model. The whole proce...

The stabilization of an inverted pendulum on a manually controlled cart (cart-inverted-pendulum; CIP) in an upright position, which is analogous to balancing a stick on a fingertip, is considered in order to investigate how the human central nervous system (CNS) stabilizes unstable dynamics due to mechanical instability and time delays in neural feedback control. We explore the possibility that...

We present a method for controlling a dynamical system using real-time fMRI. The objective for the subject in the MR scanner is to balance an inverted pendulum by activating the left or right hand or resting. The brain activity is classified each second by a neural network and the classification is sent to a pendulum simulator to change the force applied to the pendulum. The state of the invert...

The balancing of an inverted pendulum by moving a cart along a horizontal track is a classic problem in the area of control. This paper describes two Neural Network controllers to swing a pendulum attached to a cart from an initial downwards position to an upright position and maintain that state. Both controllers are able to learn the demonstrated behavior which was swinging up and balancing t...

This paper aims at the applications of natural frequency of inverted pendulum and Takagi-Sugeno (TS) fuzzy control in the swing up and stabilization of Rotary inverted pendulum (RIP) respectively. RIP is one of the important multivariable system in control to test the performance of any controller due to its nonlinear, unstable, non-minimum phase and under actuated nature. Many techniques based...

This paper proposes a method of robust optimal stabilization for balance systems such as rocket and missile systems, Segway human transportation systems, and inverted pendulum systems. Constant-gain controllers such as linear-quadratic regulators may not guarantee stability let alone optimality for balance systems affected by parametric variations. The robust stability and robust performance ac...

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For 3D walking control of a biped robot we analyze the dynamics of a three-dimensional inverted pendulum in which motion i s constrained to move along an arbitrarily defined plane. This analysis leads us a simple linear dynamics, the Three-Dimensional Linear Inverted Pendulum Mode (SD-LIPM). Geometric nature of trajectories under the 3D-LIPM and a method for walking pattern genemtion are discus...

There are a number of competing scientific hypotheses about the structure and parameters of the human control system concerned with balance. System identification techniques have potential to distinguish between such competing hypotheses. As a step towards this goal, the data from an initial series of experiments involving balancing an inverted pendulum by a human via a joystick was analysed us...