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Guaranteed Cost Control for 2-D Uncertain Discrete State-Delayed Systems in Roesser Model Employing Actuator Saturation

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Abstract

This paper is concerned with the design of state-feedback guaranteed cost controller (GCC) for linear two-dimensional (2-D) uncertain discrete delayed systems with actuator saturation (AS). The 2-D system under consideration is represented by the Roesser model. The linear matrix inequality-based conditions for the design of GCC are developed. The proposed method not only ensures that closed-loop system trajectories converge to the origin, but it also provides a satisfactory performance level under all permissible system uncertainties. A convex optimization problem is also formulated for the design of optimal GCC. The GCC design problem for 2-D systems with AS and no delay is also examined. The problem of GCC design for 2-D systems in absence of AS and state delay is also discussed. Several examples are given to illustrate the applicability of the presented results.

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Acknowledgements

The authors thank the Editors and the Reviewers for their constructive comments to improve the paper.

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Authors and Affiliations

  1. Electrical Engineering Department, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, 211004, India

    Aditi Srivastava & Richa Negi

  2. Electronics and Communication Engineering Department, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, 211004, India

    Haranath Kar

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  1. Aditi Srivastava
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Srivastava, A., Negi, R. & Kar, H. Guaranteed Cost Control for 2-D Uncertain Discrete State-Delayed Systems in Roesser Model Employing Actuator Saturation. Circuits Syst Signal Process 43, 74–102 (2024). https://doi.org/10.1007/s00034-023-02461-9

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