This paper presents a new approach to robust adaptive control, using fractional order systems as parallel feedforward in the adaptation loop. The problem is that adaptive control systems may diverge when confronted with finite sensor and actuator dynamics, or with parasitic disturbances. One of the classical robust adaptive control solutions to these problems makes use of parallel feedforward and simplified adaptive controllers based on the concept of positive realness. ; The proposed control scheme is based on the Almost Strictly Positive Realness (ASPR) property of the plant. We show that this condition implies also robust stability in the case of fractional order controllers. An application to Model Reference Adaptive Control (MRAC) with a fractional order adaptation rule is provided with an implementable algorithm. A simulation example of a SISO robust adaptive control system illustrates the advantages of the proposed method in the presence of disturbances and noise.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 19, number 1 (2009) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2024-11-05
2024-04-08
35
https://zbc.uz.zgora.pl/publication/88525
Nazwa wydania | Data |
---|---|
Robust fractional adaptive control based on the strictly positive realness condition | 2024-11-05 |
Ahmida, Zahir Charef, Abdelfettah Becerra, Victor M. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Debbache, Ghania Bennia, Abdelhak Goléa, Noureddine Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
N`Doye, Ibrahima Darouach, Mohamed Voos, Holger Zasadzinski, Michel Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Ostalczyk, Piotr Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Domański, Adam Domańska, Joanna Czachórski, Tadeusz Klamka, Jerzy (1944- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Amairi, Messaoud Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Kowalczuk, Zdzisław Suchomski, Piotr Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Sutradhar, Tumpa Datta, B.K. Bera, Rasajit Kumar Jurczak, Paweł - red.