Feedback stabilization of non-homogeneous bilinear systems with a finite time delay

Hamidi, Z.; Ayadi, R. El; Ouzahra, Mohamed

doi:10.22541/au.162377461.11249628/v1

Cited by 1 publication

(1 citation statement)

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“…The presence of time-delay can negatively impact practical systems, causing instability and poor performance [26,27]. Two primary stability criteria are used to analyze systems with time-delay: Lyapunov-Krasovskii functional (LKF) and Lyapunov Razumikhin [13].…”

Section: Introductionmentioning

confidence: 99%

Robust tracking control for nonlinear fractional order delayed systems: Modified repetitive control approach

Mahmoudabadi,

Tavakoli‐Kakhki

2023

Asian Journal of Control

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This study focuses on the problem of perturbation suppression and tracking control of nonlinear fractional order systems with time‐varying delay. To simplify the control process for such systems, the Takagi–Sugeno fuzzy model is used to describe the nonlinear fractional order delayed systems. Additionally, a modified repetitive controller is applied to develop an output feedback technique for the proposed systems. To ensure system stability, the study establishes new delay‐dependent stabilization conditions using a novel Lyapunov–Krasovskii functional (LKF). These stability conditions are expressed in formation of linear matrix inequalities (LMIs) by adopting a frequency‐distributed model transformation and some slack matrices. The proposed method demonstrates that the system output can track the desired input with ignorable error, while effectively rejecting disturbances. Finally, the efficacy of the proposed method is evaluated through simulations of the modified Chua circuit and the hydraulic turbine governing system (HTGS).

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Section: Introductionmentioning

confidence: 99%