this paper deals with a globally convergent adaptive and sliding mode control of a cart-pole inverted pendulum for trajectory tracking in the presence of a bounded measurement noise and parameter uncertainty. two kinds of controllers have been used for evaluation of tracking error in presence of a bounded noise; as a result, we want to compare that at what time we can see the convergence of tra...

friction is a nonlinear phenomenon which has destructive effects on performance of control systems. to obviate these effects, friction compensation is an effectual solution. in this paper, an adaptive technique is proposed in order to eliminate limit cycles as one of the undesired behaviors due to presence of friction in control systems which happen frequently. the proposed approach works for n...

In this paper we present a coordinating control law for a network of mechanical systems with unstable dynamics. The control law is derived using the Method of Controlled Lagrangians together with potential shaping designed to couple the mechanical systems. The coupled system is Lagrangian with symmetry, and energy methods are used to prove stability and coordinated behavior. The class of mechan...

The balancing of an inverted pendulum by moving a cart along a horizontal track is a classic problem in the area of automatic control. In this paper 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 are described. Both controllers are able to learn the demonstrated behavior which was swinging u...

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...

A cart with two independent inverted pendula, called a dual-inverted-pendulum system, is analyzed and compared to the single-inverted-pendulum system using classical linear methods. Using only the angles of the pendula and the position of the cart, a classical controller is designed that stabilizes the pendula in the inverted position with the cart at the center of the track. Simulations of the...

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...

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 presents the modelling and simulation for optimal control design of nonlinear inverted pendulum-cart dynamic system using Proportional-Integral-Derivative (PID) controller and Linear Quadratic Regulator (LQR). LQR, an optimal control technique, and PID control method, both of which are generally used for control of the linear dynamical systems have been used in this paper to control ...

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,...