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
Book ChapterDOI

Model Based Identification and Adaptive Compensation of Nonsmooth Nonlinearities

TL;DR: First, a friction and backlash measurement and identification method is presented for robotic manipulators that can be performed in closed loop using velocity controller and how the procedure can be extended for hydraulic actuators.
Journal ArticleDOI

Learning to control from expert demonstrations

TL;DR: This paper shows how to combine expert demonstrations into a stabilizing controller, provided that demonstrations are sufficiently long and there are at least n + 1 of them, where n is the number of states of the system being controlled.
Journal ArticleDOI

Switching Piecewise Bilinear Control of Nonlinear Systems with Singularities

TL;DR: In this article, the stabilization of nonlinear systems with singularities via switching piecewise bilinear (PB) control is proposed. But, the stabilization is based on switching a piecewise Lyapunov-like function for each piecewise region and using a hybrid control method.
Proceedings ArticleDOI

Robust approximate control of time-varying uncertain nonlinear systems

TL;DR: In this article, a control scheme for nonlinear systems with unknown, time-varying parameters or disturbances whose bounds are known, but are not required to enter linearly in the state equations is presented.
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)