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Observer-Based Tracking Control Design for a Class of Nonlinear Discrete-Time Systems

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Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 243))

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Abstract

In this paper, The problem of robust tracking and model following is considered for a class of discrete-time nonlinear systems, where the nonlinearities satisfy the Lipschitz condition. In this paper, it is assumed that the system state is not accessible. A nonlinear observer is designed firstly, and then based on the observed states the controller is designed. Based on Lyapunov stability theory, we prove that the constructed controller can drive the system’s output function to the desired output that is generated by a reference model, and the tracking error decreases asymptotically to zero. Simulations on controlling systems are investigated, and the results show that the designed controllers are feasible and efficient.

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Author information

Authors and Affiliations

  1. Laboratory of Analysis Modelling and Simulation, Department of mathematics, Faculty of sciences Ben M’sik, Casablanca, Morocco

    Zakary Omar, Rachik Mostafa & Bidah Sara

  2. Laboratory of Modeling, Analysis, Control and Statistics, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, Casablanca, Morocco

    Lhous Mustapha

Authors
  1. Zakary Omar
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  2. Rachik Mostafa
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  3. Lhous Mustapha
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  4. Bidah Sara
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Corresponding author

Correspondence to Zakary Omar .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Moulay Ismail University, Zitoune Meknès, Morocco

    El Hassan Zerrik

  2. Department of Mathematics, Sultan Moulay Slimane University, Beni Mellal, Morocco

    Said Melliani

  3. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

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Omar, Z., Mostafa, R., Mustapha, L., Sara, B. (2020). Observer-Based Tracking Control Design for a Class of Nonlinear Discrete-Time Systems. In: Zerrik, E., Melliani, S., Castillo, O. (eds) Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications. Studies in Systems, Decision and Control, vol 243. Springer, Cham. https://doi.org/10.1007/978-3-030-26149-8_13

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