NDLI: Auxiliary-function-based double integral inequality approach to stability analysis of load frequency control systems with interval time-varying delay

Content Provider	IET Digital Library
Author	Yang, Feisheng He, Jing Wang, Jing Wang, Minghui
Abstract	A new approach is presented for the stability problem of one-area and multi-area load frequency control (LFC) scheme with time delays in this study. Novel stability criteria with delay dependency in terms of linear matrix inequalities for LFC systems are derived by an augmented Lyapunov–Krasovski functional with triple integral terms. The LFC design takes the interval time-varying communication delays into account and the load disturbance is mathematically modelled as a norm-bounded non-linear function. This study suggests a new class of inequality for double integral of quadratic functions via intermediate auxiliary functions, which produce more tighter bounds than what Wirtinger's double integral inequality produces. Case studies are carried out to illustrate the validity of the proposed delay-dependent proportional–integral-based output feedback design method.
Starting Page	601
Ending Page	612
Page Count	12
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 5, Mar (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.1187
Journal	IET Control Theory & Applications
Publisher Date	2017-12-13
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Augmented Lyapunov-Krasovski Functional Auxiliary-function-based Double Integral Inequality Approach Control of Electric Power System Control System Analysis Control System Synthesis Delay Delay Dependency Delay-dependent Proportional-integral-based Output Feedback Design Method Distributed Parameter Control System Feedback Frequency Control Intermediate Auxiliary Function Interval Time-varying Communication Delay LFC Design LFC System Linear Matrix Inequalities Load Disturbance Load Frequency Control System Load Regulation Lyapunov Method Multiarea Load Frequency Control Scheme Norm-bounded Nonlinear Function One-area Load Frequency Control Scheme PI Control Power System Control Quadratic Function Stability Stability Analysis Stability Criteria Stability in Control Theory Synthesis Method Time Delay Triple Integral Term
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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