This paper summarizes the mechanical and control design concepts of an inverted or unstable pendulum where stabilization is achieved by a moment exchange generated by a controlled symmetric rotation of a rotational inertia attached to the pendulum. The proposed design of the pendulum has a fixed bottom rotation or point of support as opposed to the usual vertically or horizontally moving point ...

Inverted pendulum is a non-linear, multivariable and unstable device, a model predictive control (MPC) performance evaluation and tuning method for inverted pendulum device is proposed. MPC was designed to control the inverted pendulum device, and the minimum variance covariance constrained control (MVC) was applied to evaluate the performance of the MPC controller and tune its parameters. The ...

In this paper I am discussing the modeling and simulation study of basically two control strategies of an inverted pendulum system are presented. The inverted pendulum represents a challenging control problem, which continually moves toward an uncontrolled state. Certain modern techniques are now available because of the development of artificial intelligence and soft computing methods. Fuzzy c...

In the present work, implementation of continuous-time high frequency periodic controller is done for stabilization of non-minimum phase system having both right half plane (RHP) pole and zero. This work considers nonminimum phase cart-inverted pendulum system as a test bench. The robustness property of the periodic controller is compared with that of a linear quadratic regulator (LQR) and slid...

This paper deals with modelling, identification and simulation of the inverted pendulum PS600. This system is unstable and nonlinear with one input – voltage of a DC motor which can change position of the cart and two outputs – cart position and angle of the pendulum rod. First, a mathematical model of the inverted pendulum is derived, followed by identification of its unknown parameters. Then,...

This paper presents different types of mathematical modelling of Inverted Pendulum and also a Proportional-Intregal-Derative (PID) controller is designed for its stabilization. After desiging of PID controller some reference stable system has been selected and then different types of error has been optimized (minimized) by using Genetic algorithms. The proposed system extends classical inverted...

In this paper we introduce a practical algorithm for computing an optimal feedback control for nonlinear systems. The algorithm that we present computes a sequence of suboptimal controls that converge to the optimal. We demonstrate the features of the algorithm by three simple examples including the optimal nonlinear feedback control of an inverted pendulum.

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...

Analysis of attitude stabilization of a power-aided unicycle points out that a unicycle behaves like an inverted pendulum subject to power constraint. An LQR-mapped fuzzy controller is introduced to solve this nonlinear issue by mapping LQR control reversely through least square and Sugeno-type fuzzy inference. The fuzzy rule surface after mapping remains optimal.

The paper presents two different ways of mathematical modeling of Inverted Pendulum. A Proportional-Integral-Derative (PID) controller is designed for its stabilization. Some reference stable system is selected after designing of PID controller to optimize different types of error using Genetic Algorithms. The proposed system extends classical inverted pendulum by incorporating two moving masse...