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
State and Feedback Linearizations of Single-Input Control Systems
TL;DR: This paper defines algorithms allowing to compute explicitly the linearizing state (resp. feedback) coordinates for any nonlinear control system that is indeed linearizable ( resp. feedback linearizable).
Journal ArticleDOI
Reinforcement Hybrid Evolutionary Learning for Recurrent Wavelet-Based Neurofuzzy Systems
C.-J.. Lin,Yung-Chi Hsu +1 more
TL;DR: This paper proposes a recurrent wavelet-based neurofuzzy system (RWNFS) with the reinforcement hybrid evolutionary learning algorithm (R-HELA) for solving various control problems and demonstrates the performance and applicability of the proposed R-H ELA method.
Journal ArticleDOI
A neural-network method for the nonlinear servomechanism problem
Yun-Chung Chu,Jie Huang +1 more
TL;DR: This research represents a novel application of the neural networks to numerical mathematics, but also leads to an effective approach to approximately solving the nonlinear servomechanism problem.
Journal ArticleDOI
Optimized fuzzy PD cascade controller: A comparative analysis and design
TL;DR: A detailed comparative analysis carried out from the viewpoint of the performance and the design methodology, is provided for the fuzzy PD cascade Controller and the conventional PD cascade controller whose design exploited serial genetic algorithms.
Journal ArticleDOI
On a switching control scheme for nonlinear systems with ill-defined relative degree
Wen-Hua Chen,D.J. Ballance +1 more
TL;DR: The results in this paper shows that the switching control scheme proposed in Tomlin and Sastry is applicable for a wider class of nonlinear systems.
References
More filters
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.