Human beings are highly efficient in maintaining standing balance under the influence of different perturbations. However, biped humanoid robots are far from exhibiting similar skills. This is mainly due to the limitations in the current control and modeling techniques used in humanoid robots. Even though approaches using the Linear Inverted Pendulum Model and the Preview Control schemes have s...

The objective is to design a complete control system for the Swing-up and Stabilizing Control of cart inverted pendulum. In particular, this work outlines the effectiveness of a particular Swing-up method based on feedback linearization and Total Energy Shaping (TES) considerations. The basic idea to solve the problem of driving the pendulum from down or any to upright position has been always ...

ROTATIONAL DOUBLE INVERTED PENDULUM Name: Li, Bo University of Dayton Advisor: Dr. Raúl Ordóñez The thesis deals with the stabilization control of the Rotational Double Inverted Pendulum (RDIP) System. The RDIP is an extremely nonlinear, unstable, underactuated system of high order. A mathematical model is built for the RDIP with the Euler-Lagrange (E-L) equation. A Linear Quadratic Regulator (...

Control of systems with time delay is difficult as compared to simple process control. Numerous parameters estimation techniques for the control implementation of non-linear systems with time delays are available in literature, but these techniques become cumbersome while tuning the system, due to complex calculation structure and wide ranges for tuning parameters. This paper describes and exam...

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.

This paper investigates the design and analysis of three controllers used to stabilize an inverted pendulum on a cart. This is accomplished by decomposing each control algorithm into two separate phases: swing-up control and stabilization control. A classical, H2, and H∞ design are each considered to stabilize a nominal linearized model of the inverted pendulum on a cart in the upward vertical ...

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...

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.

The use of advanced knowledge of reference can improve the tracking quality and performance of transient response of a control system and the systems using such information are called preview control systems. This paper explains the implementation of preview control methodology available in literature, i.e. DARE and LMI-based approaches for a non-linear system. The design of a multi-objective p...