NDLI: Distributed finite-time control for spatially interconnected systems

Content Provider	IET Digital Library
Author	Feng, Hongyan Xu, Huiling Xu, Shengyuan
Abstract	Compared with the classical Lyapunov asymptotic stability, finite-time stability is much more important and significant in some practical applications. The purpose of this study is to design the distributed controllers such that the controlled spatially interconnected systems are well-posed, finite-time stable/bounded and finite-time contractive. First, the authors introduce the definitions of finite-time stability/boundedness and finite-time contractiveness for spatially interconnected systems based on the given system matrices. Second, a sufficient condition is proposed to check the well-posedness, finite-time stability/bounedness and finite-time contractiveness of spatially interconnected systems. Third, the distributed controllers are designed to solve the distributed finite-time control problem. Besides, the existence condition and construction of the distributed controllers are shown. In the end, a one-dimensional heat equation example is demonstrated to verify the effectiveness of the proposed control method.
Starting Page	1786
Ending Page	1795
Page Count	10
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 12, Aug (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/12
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.6377
Journal	IET Control Theory & Applications
Publisher Date	2019-04-30
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Asymptotic Stability Classical Lyapunov Asymptotic Stability Control System Analysis Control System Synthesis Controlled Spatially Interconnected System Distributed Control Distributed Controller Design Distributed Finite-time Control Problem Finite-time Boundedness Finite-time Contractiveness Finite-time Stability Interconnected System Lyapunov Method Matrix Algebra Multivariable Control System One-dimensional Heat Equation Stability in Control Theory Sufficient Condition Synthesis Method System Matrix
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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