An adaptive tracking controller design for non-linear singularly perturbed systems using fuzzy singularly perturbed model

2009 ◽  
Vol 26 (4) ◽  
pp. 395-415 ◽  
Author(s):  
L. Li ◽  
F. C. Sun
Keyword(s):  
Controller Design ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Adaptive Tracking ◽  
Perturbed Systems ◽  
Tracking Controller ◽  
Non Linear ◽  
Perturbed Model

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

2013 ◽  
Vol 834-836 ◽  
pp. 1210-1213
Author(s):  
Cheng Gong Sun ◽  
Li Li
Keyword(s):  
Closed Loop ◽  
Reference Model ◽  
Singularly Perturbed ◽  
Linear Feedback ◽  
Feedback Gain ◽  
Singularly Perturbed Systems ◽  
Lmi Approach ◽  
Perturbed Systems ◽  
Tracking Controller ◽  
Perturbed Model

For a class of discrete nonlinear singularly perturbed systems, a tracking controller based on fuzzy singularly perturbed model (FSPM) and linear matrix inequality (LMI) approach is developed. Firstly, a series of dynamic TS fuzzy singularly perturbed subsystems are built to approximate a discrete nonlinear singularly perturbed system and a discrete reference model with the same fuzzy premise is chosen to design expected trajectory, then a kind of controller is developed to make the slow states of the closed-loop system follow those of the reference model. The linear feedback gain of the controller can be solved by the LMI approach. Discrete Lyapunov constitute techniques prove the stability of the closed-loop systems. The effectiveness of the approach is illustrated by the simulation experimentation.

scholarly journals Passive Control andε-Bound Estimation of Singularly Perturbed Systems with Nonlinear Nonlinearities

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Linna Zhou ◽  
Chunyu Yang
Keyword(s):  
Singular Perturbation ◽  
Passive Control ◽  
Controller Design ◽  
Design Method ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Storage Function ◽  
Rlc Circuit ◽  
Perturbed Systems

This paper considers the problems of passivity analysis and synthesis of singularly perturbed systems with nonlinear uncertainties. By a novel storage function depending on the singular perturbation parameterε, a new method is proposed to estimate theε-bound, such that the system is passive when the singular perturbation parameter is lower than theε-bound. Furthermore, a controller design method is proposed to achieve a predefinedε-bound. The proposed results are shown to be less conservative than the existing ones because the adopted storage function is more general. Finally, an RLC circuit is presented to illustrate the advantages and effectiveness of the proposed methods.

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