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
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LETTER On Robust Approximate Feedback Linearization
Ho-Lim Choi,Jong-Tae Lim +1 more
TL;DR: In this article, a control law with the gain-scaling factor is proposed to stabilize a class of nonlinear systems which are approximately feedback linearizable, and the robustness of approximate feedback linearization is analyzed.
Journal ArticleDOI
Non-Recursive Control Design for Nonlinear System With Backlash-Like Hysteresis and Disturbance
Hui Gao,Yaoze Zhao +1 more
TL;DR: In this paper, a non-recursive homogeneity-based robust control for a kind of nonlinear systems with backlash-like hysteresis and external disturbance, as an alternative approach to the well known recursive backstepping design which needs to compute a number of partial derivatives.
Proceedings ArticleDOI
Novel Based Hybrid Fmin-Ga, Based Pid And Fractional Order Internal Model Controller For Compressed Air Pressure Process
TL;DR: In this article , an optimized integer and non-integer models are obtained and based on the models the PID controller with optimized controller parameters are selected based on model using optimization techniques such as Fmin-GA and also the Internal Model controllers (IMC).
Journal ArticleDOI
Output Regulation Through Singularities via State-Feedback
TL;DR: The problem of global output regulation using state-feedback is solved for non linear systems with no relative degree by introducing an invariant manifold on which tracking error tends to zero, and through which the variable-gain feedback on the new coordinate attains global outputregulation through singularities.
Proceedings ArticleDOI
Guaranteed performance for an approximation method for discrete-time nonlinear servomechanism problem
TL;DR: It is shown that the discrete regulator equations can be approximately solved up to an arbitrarily small error by the feedforward neural networks, and it is possible to design a feedback controller based on the neural network solution of the discrete governor equations that solves the discrete nonlinear servomechanism problem approximately.
References
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Book
Nonlinear Control Systems
Alberto Isidori,M. Thoma,Eduardo D. Sontag,B. W. Dickinson,A. Fettweis,J. L. Massey,J. W. Modestino +6 more
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
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.