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Dynamic anti-windup compensation of nonlinear time-delay systems using LPV approach

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Abstract

In this paper, a novel decoupled architecture-based anti-windup compensator (AWC) synthesis technique is presented for the constrained nonlinear time-delay systems. The proposed decoupling AWC architecture is applicable to both stable and unstable nonlinear time-delay systems and it simultaneously fulfills the requirements of attainment of stability and reasonable closed-loop performance. The proposed AWC architecture is modified with the aim to characterize the synthesis goals of the delayed nonlinear AWC by using the linear parameter varying model-based reformulation property of the Lipschitz nonlinearities. To compute the gain matrices for global or local stability through the proposed AWC, several sufficient conditions have been formulated using a Lyapunov–Krasovskii functional, the \(L_2 \) gain minimization, the generalized sector condition and the information of bounds of delay. The proposed approach is less conservative than the existing methods due to useful terms in handling the range of time-delay. Further, the resultant method is better than the conventional methods owing to the incorporation of reformulation property for efficient handling of the Lipchitz nonlinearities. The effectiveness of the proposed AWC schemes is demonstrated via simulation results.

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Acknowledgements

This work was supported by Higher Education Commission (HEC) of Pakistan by supporting Ph.D. studies of the second and third authors through indigenous Ph.D. scholarship program (phase II, batch II, 2013).

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Authors and Affiliations

  1. Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, Pakistan

    Abubakar Akram, Muntazir Hussain, Najam us Saqib & Muhammad Rehan

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  1. Abubakar Akram
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  2. Muntazir Hussain
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  3. Najam us Saqib
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  4. Muhammad Rehan
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Correspondence to Muhammad Rehan.

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Akram, A., Hussain, M., us Saqib, N. et al. Dynamic anti-windup compensation of nonlinear time-delay systems using LPV approach. Nonlinear Dyn 90, 513–533 (2017). https://doi.org/10.1007/s11071-017-3678-8

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