The direct adaptive control based on the singularly perturbed model with the unknown consequence parameters

Abstract

A class of nonlinear singularly perturbed systems can be approximated by the Fuzzy Singularly Perturbed Model (FSPM).This paper proposes a new direct adaptive controller on the basis of the FSPM. The aim is to make the states of the closed-loop system follow those of the reference model. The feedback gains of the controller can be adjusted on line; and we don't require the parameters known in prior. Lyapunov constitute techniques are used to prove the stability of the closed loop systems. Finally the simulations illustrate the effectiveness of this approach.

A Tracking Controller Design for Discrete Nonlinear Singularly Perturbed Systems Based on Fuzzy Singularly Perturbed Model

“…However, the basic limitation in all of these literatures is that the model of the singularly perturbed systems should be known in prior, which limits its implementation in the industrial field. Since artificial intelligence such as fuzzy logic and neural net is one of the most effective theory used in the nonlinear system without its parameters and structure known exactly and has been successfully applied to many practical plants [6], it could also be extended to the singularly perturbed systems as well [7].…”

Output Feedback Controller Design Based on Fuzzy Singularly Perturbed Model

“…The feedback gains are achieved by different methods such as optimal and H ∞ control techniques. A series of analytical results concerning the closed stability properties are achieved by using LMI and Lyapunov approach [3]. The work of [4] is different from them; in that Assawinchaichote decomposed the equations into ε -depended andε -independed ones to avoid the ill-condition of LMIs.…”