A 4(n+1)-Dimensional Model Reference Adaptive Control for the Stabilization of any Strictly Proper Minimum Phase Linear Systems with Relative Degree Not Exceeding Two and Dimension Not Exceeding n,

1985 ◽  
Author(s):  
A. S. Morse
Keyword(s):  
Adaptive Control ◽  
Linear Systems ◽  
Model Reference Adaptive Control ◽  
Relative Degree ◽  
Minimum Phase ◽  
Dimensional Model ◽  
Model Reference ◽  
Model Reference Adaptive

Discrete variable structure model reference adaptive control using only input-output measurements

2016 ◽  
Vol 40 (3) ◽  
pp. 861-872 ◽  
Author(s):  
Aicha Znidi ◽  
Khadija Dehri ◽  
Ahmed Said Nouri
Keyword(s):  
Adaptive Control ◽  
Variable Structure ◽  
Model Reference Adaptive Control ◽  
Lyapunov Theory ◽  
Relative Degree ◽  
Structure Model ◽  
Discrete Variable ◽  
Input Output ◽  
Model Reference ◽  
Model Reference Adaptive

Designing an adequate controller for a plant with an arbitrary relative degree is still an active area of research. In this paper, a discrete variable structure model reference adaptive control using only input-output measurements (DVS-MRAC-IO) for not strictly positive real systems with a relative degree of two is proposed. In order to show the effectiveness of the proposed controller, a detailed stability analysis is studied using Lyapunov theory. Further, a straightforward generalization of DVS-MRAC-IO for systems with arbitrary relative degree is presented. Numerical results are used to show the effectiveness of the proposed methods.

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