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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. >

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Citations
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Journal ArticleDOI

Lie algebra application to mobile robot control: a tutorial

TL;DR: The study of path following control of a mobile robot using an input-output feedback linearization controller is performed and the effectiveness of the nonlinear controller is illustrated with simulation examples.
Journal ArticleDOI

Design of fuzzy wavelet neural networks using the GA approach for function approximation and system identification

TL;DR: An efficient genetic algorithm approach is used to adjust the parameters of dilation, translation, weights, and membership functions of fuzzy wavelet neural network to improve the function approximation accuracy and general capability of the FWNN system.
Book

Feedback linearizing control

TL;DR: This chapter differs from existing reviews of feedback linearization by providing a balanced discussion of theoretical and practical issues of interest to process control engineers.
Proceedings ArticleDOI

Global asymptotic stabilization of the ball-and-beam system

TL;DR: In this paper, a new saturation control law was proposed for the well known ball-and-beam system, which employs state-dependent saturation levels and guarantees global asymptotic stability.
Journal ArticleDOI

Stabilization and Disturbance Attenuation of Nonlinear Systems Using Dissipativity Theory

TL;DR: The connections between Lyapunov designs and the problem of achieving passivity by feedback are stressed, and the implications of dissipativity theory as an appropriate framework to study the nonlinear H^ control problem are shown.
References
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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.
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