scispace - formally typeset
Journal ArticleDOI

Nonlinear control via approximate input-output linearization: the ball and beam example

TLDR
In this paper, an approximate input-output linearization of nonlinear systems which fail to have a well defined relative degree is studied, and a method for constructing approximate systems that are input output linearizable is provided.
Abstract
Approximate input-output linearization of nonlinear systems which fail to have a well defined relative degree is studied. For such systems, a method for constructing approximate systems that are input-output linearizable is provided. The analysis presented is motivated through its application to a common undergraduate control laboratory experiment-the ball and beam-where it is shown to be more effective for trajectory tracking than the standard Jacobian linearization. >

read more

Citations
More filters
Journal ArticleDOI

Stabilization of Ball-On-Sphere System with Super Twisting (ST) Sliding Mode Control (SMC) as a Method of Chattering Reduction

TL;DR: In this article, a ball-on-sphere system was designed and a super twisting SMC was designed to reduce the chattering of the system and the results showed that the real effect of applying a 2nd order SMC is faster asymptotic stability of the origin.

“Ball and beam” virtual laboratory: a teaching aid in automatic control courses

TL;DR: In this paper, the authors describe an interactive learning tool that can be used in control systems lectures to a better understanding of some control methods and to improve control systems design, which can also be used for problem solving and individual learning of different control methods.
Proceedings ArticleDOI

Application of Higher-Order Sliding-Modes to a Ball and Plate System

TL;DR: This paper presents a control strategy that combines feedback-linearization with higher-order sliding-mode control for the tracking control of a cam-plate driven ball and plate system.
Journal ArticleDOI

Automatic rule generation of fuzzy logic controllers based on asynchronous coevolution of rule-level subpopulations

TL;DR: The superiority of the proposed algorithm over traditional FLC-level evolution approaches has been demonstrated by evolving FLCs for two typical nonlinear control problems -the ball-and-beam and the cazt-pole systems.
Proceedings ArticleDOI

Human-inspired algebraic curves for wearable robot control.

TL;DR: This article proposes employing algebraic curves to represent human walking data for wearable robot controller design, and employs the 3L fitting algorithm, a tool developed in the pattern recognition literature for fitting implicit polynomial curves to given datasets.
References
More filters
Book

Nonlinear Control Systems

TL;DR: In this paper, a systematic feedback design theory for solving the problems of asymptotic tracking and disturbance rejection for linear distributed parameter systems is presented, which is intended to support the development of flight controllers for increasing the high angle of attack or high agility capabilities of existing and future generations of aircraft.
Book

Stability of Motion

Wolfgang Hahn
Book

Nonlinear Control Systems: An Introduction

TL;DR: This chapter discusses the development of Geometric Theory of State Feedback for Multi-Input Multi-Output Systems and its applications in control systems.
Book ChapterDOI

Output regulation of nonlinear systems

TL;DR: In this paper, the problem of controlling a fixed nonlinear plant in order to have its output track (or reject) a family of reference (or disturbance) signal produced by some external generator is discussed.
Journal ArticleDOI

Global transformations of nonlinear systems

TL;DR: In this paper, a technique for constructing a transformation under the assumption that {g\ldot[f\dotg],...,(adn-1}f\ldotsg)} span an n -dimensional space and that the set is an involutive set.
Related Papers (5)