NDLI: Observer-based modified repetitive control for fractional-order non-linear systems with unknown disturbances

Content Provider	IET Digital Library
Author	Sakthivel, Rathinasamy Raajananthini, Kanagaraj Alzahrani, Faris Kaviarasan, Boomipalagan
Abstract	This study investigates the problem of observer-based modified repetitive control for a class of fractional-order non-linear systems in the presence of unknown external disturbances. An equivalent-input-disturbance estimator is incorporated into the controller block to compensate the unknown external disturbances. The main objective of this study is to design a modified repetitive controller for the addressed system such that the system output can exactly trace the given periodic reference signal by attenuating both periodic and aperiodic disturbances. To be precise, by employing the Lyapunov stability theory together with the linear matrix inequality approach, sufficient conditions that ensure the existence of such a controller are obtained. It is to be noted that the advantage of using equivalent-input-disturbance estimator in the controller design is that it can reject both periodic and aperiodic disturbance signals effectively without requiring any prior knowledge of them. Finally, two numerical simulation examples are provided to illustrate the effectiveness and applicability of the proposed control technique.
Starting Page	3132
Ending Page	3138
Page Count	7
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 18, Dec (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/18
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5321
Journal	IET Control Theory & Applications
Publisher Date	2019-09-23
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Addressed System Algebra Aperiodic Disturbance Signal Aperiodic Disturbances Control System Analysis Control System Synthesis Control Technique Controller Block Controller Design Equivalent-input-disturbance Estimator Fractional-order Nonlinear System Given Periodic Reference Signal Linear Matrix Inequalities Linear Matrix Inequality Approach Linear System Lyapunov Method Modified Repetitive Controller Nonlinear Control System Observer-based Observers Optimal Control Periodic Disturbance Signal Periodic Disturbances Repetitive Control Robust Control Stability Stability in Control Theory Synthesis Method System Output Time Varying System Uncertain System Unknown Disturbances Unknown External Disturbances
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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