Evaluation of various controllers in fractional order non-linear systems with actuator fault

The tracking control of a non-linear fractional-order system (FOS) is highly tedious since cumulative approximation errors are encountered during the control process. Hence, to cope with that problem, several controllers have been adopted previously, such as backstepping controllers, sliding mode co...

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Bibliographic Details
Published inMultimedia tools and applications Vol. 83; no. 24; pp. 64945 - 64962
Main Authors Narmada, A., Jain, Anuj, Shukla, Manoj Kumar, Mishra, Neeraj Kumar
Format Journal Article
LanguageEnglish
Published New York Springer US 18.01.2024
Springer Nature B.V
Subjects
Actuators
Approximation
Computer Communication Networks
Computer Science
Control stability
Control systems
Controllers
Data Structures and Information Theory
Fuzzy control
Multimedia Information Systems
Nonlinear control
Nonlinear systems
Sliding mode control
Special Purpose and Application-Based Systems
Tracking control
Tracking errors
Backstepping control
Virtual control
Non-linear system
Mittag–Leffler function
Control signal
Fractional order system
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Summary:The tracking control of a non-linear fractional-order system (FOS) is highly tedious since cumulative approximation errors are encountered during the control process. Hence, to cope with that problem, several controllers have been adopted previously, such as backstepping controllers, sliding mode controllers, dynamic surface controllers, etc. These controllers have successfully reduced the approximation errors in the integer order non-linear system. However, the performance of those effective controllers in fractional-order non-linear systems is evaluated in this paper. The controllers such as the backstepping controller, sliding mode controller, dynamic surface controller and fuzzy dynamic surface controller are examined on FOS to verify the stability of control systems. As a result, the backstepping controller has performed better than other controllers in the case of actuator errors but still has the problem of the increased number of derivative terms and greater complexity in repeated calculations. The tracking error of the backstepping controller has been reduced to 0.0358 with 1.58 s of response time.
ISSN:1573-7721
1380-7501
1573-7721
DOI:10.1007/s11042-023-18018-6