This paper addresses some of the potential benefits of using f u z z y logic controllers to control an i n v e r t e d pendulum system. The stages of the development of a fuzzy logic controller using a four input T a k a g i -Sugeno fuzzy model were presented. The main idea of this paper is to implement and optimize fuzzy logic control algorithms in order t o balance the inverted pendulum and a...

Swinging up an inverted pendulum is a common benchmark task for the investigation of automatic control techniques. In this paper we introduce a new Fuzzy Sliding Mode (FSM) technique for swinging-up an inverted pendulum and controlling the connected cart, while minimizing the swing-up time, the cart travel and the required control action. The FSM technique adopted is based on a piecewise linear...

It is shown how to obtain asymptotic stability in second-order undamped systems using time-delay action in the feedback of position. The effect of the delay is similar to derivative feedback in modifying the behavior of the system. Results are given on the selection of the controller parameters both in the absence and the presence of additional delay in the feedback path. The time-lag position ...

We present a comparison of a LQR controller and Q-learning on a simulation of a triple inverted pendulum. While the LQR controller was able to balance the pendulum, Qlearning was unable due to memory and computing limitations. We examine the strengths and weaknesses of each method and compare their abilities.

Model Predictive Control (MPC) is used to improve the performance of energy control for swinging up a pendulum. A new MPC method is developed in continuous time, but it explicitly considers its digital implementation letting the control signal be piecewise constant. The stability properties of the algorithm are analyzed in terms of the free MPC design parameters. The achieved performance improv...

The inverted-pendulum system is a favorite example system and lecture demonstration of students and educators in physics, dynamics, and control. This system is a simple and valuable laboratory representation of an unstable mechanical system. This paper traces the early history of the inverted-pendulum system, and also compares several of the early treatments from the literature between 1960 and...

In this article is the automatized procedure for deriving of n-link inverted pendulum motion equations presented. Example of 2 link inverted pendulum is included. The LQR algorithm using Maple input equations is proposed. Also the comparison between SimMechanics and Simulink is included.

We revisit a previous high-low gain control idea for a 4 DOF spherical inverted pendulum using a different approach, inspired by a nested saturation tool proposed by Marconi and Isidori, that provides explicit tuning rules to deal with certain bounded external disturbances. The update controller is a robust, decentralized and “global” controller.

Balance control of a simulated inverted pendulum attached to a circular base is presented. This type of platform is analogous to a biped robot with circular soled feet in single support phase. Circular feet have been shown to be more energy efficient than flat feet during walking, and in this paper we present another advantage, where circular feet do not suffer from ground separation when apply...

Exact feedback linearization converts any system into appropriate form such that the controller design becomes convenient for the system. In this technique, control algorithm is developed based on exact feedback linearization through energy control. This approach is applicable to under actuated in which single control input, acceleration of cart, controlled the angle and position of cart. This ...