NDLI: Multiple integral inequality and its applications to decentralised control of large-scale systems with time-varying delays and unknown saturated inputs

Content Provider	IET Digital Library
Author	Wu, Hansheng
Abstract	As the main objective of this study, a new multiple integral inequality is proposed. By combining this multiple integral inequality with adaptive approach, some simple design methods can be developed to synthesise the decentralised adaptive robust control schemes for a rather large class of uncertain large-scale interconnected systems. As an application of the proposed multiple integral inequality to decentralised control theory, the problem of decentralised robust stabilisation is also considered for a class of uncertain large-scale interconnected systems with both time-varying delays and saturated input non-linearities. It is shown that this multiple integral inequality can well deal with the interconnection terms of large-scale systems. In particular, based on the proposed multiple integral inequality, the time-varying delays can be assumed to be any continuous and bounded non-negative functions in time which are not required that their derivatives have to be less than one, and it is also not required for any information on the saturated input non-linearities to be known. A numerical example and the corresponding simulations are also given to illustrate the validity of the theoretical results.
Starting Page	30
Ending Page	38
Page Count	9
ISSN	17518644
Volume Number	14
e-ISSN	17518652
Issue Number	Issue 1, Jan (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/14/1
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2019.0558
Journal	IET Control Theory & Applications
Publisher Date	2019-09-25
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Adaptive Control Continuous Bounded Nonnegative Function Control System Analysis Control System Synthesis Decentralised Adaptive Robust Control Scheme Decentralised Control Delay Distributed Parameter Control System Interconnected System Large-scale System Multiple Integral Inequality Multivariable Control System Robust Control Saturated Input Nonlinearities Self Adjusting Control System Stability in Control Theory Synthesis Method Time Varying Control System Time Varying System Time-varying Delay Uncertain Large-scale Interconnected System Uncertain System Unknown Saturated Input
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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