ℒ1adaptive controller design for a class of fractional order uncertain systems
| Autor: | Salim Labiod, Ihab Abderraouf Boulham, Ahsene Boubakir |
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| Rok vydání: | 2022 |
| Předmět: |
Numerical Analysis
Steady state (electronics) Adaptive control General Computer Science Computer simulation Computer science Applied Mathematics Stability (learning theory) Theoretical Computer Science Nonlinear system Control theory Modeling and Simulation Transient (oscillation) Affine transformation |
| Zdroj: | Mathematics and Computers in Simulation. 193:232-249 |
| ISSN: | 0378-4754 |
| DOI: | 10.1016/j.matcom.2021.10.011 |
| Popis: | ℒ 1 adaptive control method is a new and effective technique to perform a robust tracking response with fast adaptation, its applications were generalized for both integer order affine and non-affine nonlinear systems. However, ℒ 1 adaptive control scheme has not been yet investigated to control fractional order systems. In this work, an ℒ 1 adaptive controller is designed based on a fractional order sliding surface to control a class of fractional order systems with matched uncertainties and external disturbances. The developed controller is able to achieve closed-loop stability with uniform performance bounds for system signals. Such that, increasing the adaptation gain can dramatically enhance the performances for both transient and steady state responses. Finally, the validity and the effectiveness of the controller is tested using a numerical simulation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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