Redesign and Stability Analysis of Input/Output Variable Structure Model-Reference Adaptive Control (I/O VS-MRAC) Systems

Author(s):  
Liu Hsu ◽  
Fernando Lizarralde
2016 ◽  
Vol 40 (3) ◽  
pp. 861-872 ◽  
Author(s):  
Aicha Znidi ◽  
Khadija Dehri ◽  
Ahmed Said Nouri

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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