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Disturbance rejection and reference tracking of time delayed systems using Gramian controllability

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Abstract

The aim is to carry out the input–output controllability analysis of a multitude of time delayed and disturbed single-input single-output plants considering all the limitations that may have a direct or indirect influence on the system. In a practical world, it is very important to ensure that all the variables of control systems are realizable. The control error and output must not be too high for a plant to realize. This emphasizes that it is necessary to have some sort of a numerical threshold value for the input–output controllability characteristic value. A fitting controller is designed for each plant model and disturbance, respectively. Larger values for the controllability would indicate higher controllability and all the values less than the threshold value would be treated as uncontrollable. This helps us in making decisions beforehand and predicts the successful control. The reason behind adopting this approach is that the classical control cannot correctly evaluate the bounded systems.

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Authors and Affiliations

  1. Department of Electrical, Electronics and Telecommunication Engineering, University of Engineering and Technology, Faisalabad, Pakistan

    Muhammad Ibrahim

  2. Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong

    Imran Hameed

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  1. Muhammad Ibrahim
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  2. Imran Hameed
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Correspondence to Muhammad Ibrahim.

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Ibrahim, M., Hameed, I. Disturbance rejection and reference tracking of time delayed systems using Gramian controllability. Int. J. Dynam. Control 10, 810–817 (2022). https://doi.org/10.1007/s40435-021-00842-z

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  • DOI: https://doi.org/10.1007/s40435-021-00842-z

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