We investigate the dynamics of an inverted pendulum subjected to Jacobi elliptic forcing both numerically and experimentally. In so doing, we hope to provide a coherent picture on stability of an inverted pendulum subjected to forcing that ranges from harmonic to nonharmonic in nature. We are able to determine the regions of stability of a sinusoidally forced inverted pendulum, with results sim...

The use of Pyragas-Type controller proved interest in the stabilization of unstable periodic orbits. The stabilization problem of a balancing inverted pendulum on an horizontally moving cart by the use of such a controller is considered. The main objective of the paper is to propose delayed control law containing only proportional gains able to stabilize the inverted pendulum by avoiding the ex...

In this paper a real time control for swing-up stabilization of inverted pendulum is designed using Fuzzy logic. In the model proposed here a single rulebase is used to control both position and angle simultaneously during both swing-up and stabilization. The proposed fuzzy control scheme successfully fulfills the control objectives and also has an excellent stabilizing ability to overcome the ...

This article gives a practical overview of the popular biomechanically inspired, computationally efficient, algorithmically straightforward inverted pendulum technique for character-based systems. We explain the different flavours of inverted pendulum (e.g., springloaded and gravity compensated inverted pendulum), their viability for different situations (e.g., walking, running), simulation res...

This paper addresses the control problem of X-Z inverted pendulum in the presents of system uncertainties and external disturbances, and an adaptive fuzzy sliding mode control approach is proposed. The fuzzy system is used to approximate the system uncertainties and the complicated intermediate control functions in the backstepping control design. To update the parameters of the fuzzy system, a...

In this paper a design methodology for a novel robust adaptive backstepping controller for the stabilization control of an inverted pendulum on a movable cart, which is a benchmark control problem in the nonlinear control system paradigm, has been presented in a systematic manner. The proposed control law provides a systematic iterative formulation of a Lyapunov energy function for the inverted...

In this work we have tried to create an inverted pendulum using standard PC hardware. The pendulum in this project has been mounted onto a printer. A serial mouse serves as an angle sensor. The software controller has been implemented bare metal using a common micro controller architecture.

This paper presents tele-operated control of an inverted pendulum system for intelligent control education. Position commands for the pendulum to follow are given by a joystick through network. The pendulum is controlled by two methods; a PID control method and a neural network control method. Results are compared by experimental studies.

The “inverted pendulum problem” is perhaps the most widely used benchmarking study to assess the effectiveness of emerging control design techniques. In this paper the “Backpropagation Through Time” learning method is used to train a multilayer perceptron neural network to control an actual physical system, consisting in a pendulum free to pivot on a cart, which is moved by a DC motor within a ...