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Delay-Dependent \(H_\infty \) Control for LPV Time-Delay Systems via Dynamic Output Feedback

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Abstract

In this paper, we present a new systematic method to design a dynamic output feedback controller (DOF) for linear parameter-varying (LPV) systems with time delay and exogenous disturbances. An LPV controller is proposed due to the presence of LPV terms in the structure of the system. The purpose is the design of an LPV DOF controller such that the resulting closed-loop system is robustly asymptotically stable while satisfying a prescribed \(H_\infty \) performance level. This problem is originally non-convex because of the coupling between system matrices and decision variables. The design conditions are transformed into LMI problems by using some technical lemmas for straightforward computation of the controller matrices. Finally, two examples are presented to demonstrate the validity and effectiveness of the theoretical results.

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Data Availability

The datasets generated during the current study are available from the corresponding author on reasonable request.

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  1. Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran

    Majid Shahbazzadeh & Seyed Jalil Sadati

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Shahbazzadeh, M., Sadati, S.J. Delay-Dependent \(H_\infty \) Control for LPV Time-Delay Systems via Dynamic Output Feedback. Circuits Syst Signal Process 42, 1477–1500 (2023). https://doi.org/10.1007/s00034-022-02176-3

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