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A deterministic approach for design of supervisory control of LPV systems with delay

Zahid, Ch. Nauman; Salim, Mina; Riaz, Raja Ali; Iqbal, Jamshed

Authors

Ch. Nauman Zahid

Mina Salim

Raja Ali Riaz



Abstract

Linear Parameter Varying (LPV) systems and their control have gained attraction recently as they approximate nonlinear systems with higher order than ordinary linear systems. On the other hand, time delay is an inherent part of various real-life applications. A supervisory control structure is proposed in this paper for LPV systems subject to time delays. In the proposed control structure, a supervisor selects the most suitable controller from a bank of controllers; which desires to enhance the performance of closed-loop system in contrast with using a single robust controller. The analysis is based on the celebrated Smith predictor for time delay compensation and we provide a sufficient condition to assure the stability of the closed-loop switched system in terms of dwell time. Simulations on blood pressure control of hypertension patients in postoperative scenario are used to exemplify the effectiveness of the utilized technique. The operating region of the system is partitioned into five smaller operating regions to construct corresponding robust controllers and perform hysteresis switching amongst them. Simulation results witnessed that the proposed control scheme demonstrated a pressure undershoot less than the desired value of 10 mmHg while the Mean Arterial Pressure (MAP) remains within ±5 mmHg of the desired value.

Citation

Zahid, C. N., Salim, M., Riaz, R. A., & Iqbal, J. (2021). A deterministic approach for design of supervisory control of LPV systems with delay. PLoS ONE, 16(8), https://doi.org/10.1371/journal.pone.0256408

Journal Article Type Article
Acceptance Date Aug 5, 2021
Online Publication Date Aug 20, 2021
Publication Date Aug 20, 2021
Deposit Date Sep 14, 2021
Publicly Available Date Sep 14, 2021
Journal PLoS ONE
Print ISSN 1932-6203
Electronic ISSN 1932-6203
Publisher Public Library of Science
Peer Reviewed Peer Reviewed
Volume 16
Issue 8
Article Number e0256408
DOI https://doi.org/10.1371/journal.pone.0256408
Public URL https://hull-repository.worktribe.com/output/3828223

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