NDLI: H∞ control of linear singular time-delay systems subject to impulsive perturbations

Content Provider	IET Digital Library
Author	Chen, Wu Hua Jiang, Renhong Lu, Xiaomei Zheng, Wei Xing
Abstract	This study addresses the problem of H ∞ control for linear singular time-delay systems subject to impulsive perturbations. Specifically, the impulses are allowed to be destabilising, i.e. they may degrade the closed-loop performance of the considered systems. With the aid of a descriptor-type impulse-time-dependent Lyapunov functional, a sufficient condition for the solvability of the problem is derived in terms of linear matrix inequalities (LMIs). By solving a set of LMIs, a desired state-feedback controller is found, which guarantees that the closed-loop system is impulse-free, internally exponentially stable, and achieves a prescribed L 2 -gain. Finally, three numerical examples are provided to demonstrate the effectiveness of the proposed method.
Starting Page	420
Ending Page	428
Page Count	9
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 3, Feb (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/3
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.0166
Journal	IET Control Theory & Applications
Publisher Date	2016-11-07
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Asymptotic Stability Closed Loop System Closed-loop System Performance Degradation Delay System Descriptor-type Impulse-time-dependent Lyapunov Functional Distributed Parameter Control System H∞ Control Impulse-free System Impulsive Perturbations Internally Exponentially Stable System L2-gain Linear Algebra Linear Matrix Inequalities Linear Singular Time-delay System Linear System LMI Lyapunov Method Numerical Analysis Optimal Control Perturbation Technique Solvability Stability in Control Theory State Feedback State-feedback Controller Sufficient Condition
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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