This paper examines the control problem of discrete-time feedback linearizable nonlinear systems for which there is no available analytic models. Based on the ability of fuzzy systems to approximate any nonlinear mapping, the unknown nonlinear system is represented by a Takagi-Sugeno fuzzy model which is identified using input-output data. Then, a fuzzy feedback linearizing controller, based on...

In this paper we address the problem of state (resp. feedback) linearization of nonlinear single-input control systems using state (resp. feedback) coordinate transformations. Although necessary and sufficient geometric conditions have been provided in the early eighties, the problems of finding the state (resp. feedback) linearizing coordinates are subject to solving systems of partial differe...

Recently, the linearization of a class of unknown discrete-time dynamic systems has achieved considerable topics for the controller design. The unknown functions after system linearization have been estimated by several methods including artificial intelligence techniques such as neural networks, fuzzy logic systems and neurofuzzy networks. In a number of published articles, the issues of syste...

The input-to-state linearization of a system is usually necessary to consider whenever the input-to-output linearization of the system yields a possibly unstable cloosed-loop system. In this work a unified approach to the input-to-state linearization of nonlinear systems, both continuousand discrete-time, is suggested. The problem is studied from a uniform standpoint. In that respect methods an...

This paper investigates the issue of the internal stability of nonlinear delay systems controlled with a feedback law that performs exact input–output, linearization and delay cancellation. In previous works the authors showed that, unlike with the case of systems without state delays, when the relative degree is equal to the number of state variables and the output is forced to be identically ...

HVDC-Light has the advantages of flexible operating ways and reliability, especially in the transmission problem of offshore wind power. But it needs many PI controllers in the two converters (wind farm side, grid side). So there are many parameters need to be set which is difficult. This paper adopted the control mode that the outside loop controlled the voltage and the inside loop controlled ...

The problem of exact linearization via feedback consists in transforming a nonlinear system into a linear one using a state feedback. In the multivariable case, the nonlinear control law achieves also decoupling. The use of feedback linearization requires the complete knowledge of the nonlinear system. In practice, there are many processes whose dynamics is very complex, highly nonlinear and us...