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

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Abstract

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.

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Authors and Affiliations

  1. Lovely Professional University, Phagwara, Punjab, 144001, India

    A. Narmada & Anuj Jain

  2. Symbiosis International (Deemed University), Symbiosis Institute of Technology, Pune, 412115, India

    Manoj Kumar Shukla

  3. NIMS University Jaipur, Shobha Nagar, Jaipur, Rajasthan, 303121, India

    Neeraj Kumar Mishra

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  1. A. Narmada
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  2. Anuj Jain
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  3. Manoj Kumar Shukla
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  4. Neeraj Kumar Mishra
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Correspondence to A. Narmada.

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Narmada, A., Jain, A., Shukla, M.K. et al. Evaluation of various controllers in fractional order non-linear systems with actuator fault. Multimed Tools Appl (2024). https://doi.org/10.1007/s11042-023-18018-6

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  • DOI: https://doi.org/10.1007/s11042-023-18018-6

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