NDLI: Chain observer for Lipschitz non-linear systems with long time-varying delayed measurements

Content Provider	IET Digital Library
Author	Targui, Boubekeur González, Omar Hernández Zaragoza, Carlos Manuel Astorga Sánchez, Maria Eusebia Guerrero
Abstract	The main contribution of this study is to present a chain observer for Lipschitz non-linear systems when the output measurements are affected by a long known and bounded time-varying delay. The proposed chain observer is composed by a set of observers with similar algorithms. Each observer estimates the state in a time horizon, while the first observer of the chain estimates the current state. The structure of each observer of the chain is based on the presence of a dynamical term which permits the compensation of the time-varying delay. The observer gain is computed by solving parameterised linear matrix inequalities (LMIs) which depend on the delay. The less conservative Lipschitz condition allows to manage less restrictive LMI stability conditions, which leads to a more general class of Lipschitz non-linear systems. A Lyapunov–Krasovskii functional is used to demonstrate that the estimation error converges asymptotically to zero. The performance of the proposed observer is evaluated through numerical examples. The observer exhibits good estimation of the system state, even in the presence of significant delayed measurements.
Starting Page	1431
Ending Page	1439
Page Count	9
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 10, Jul (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/10
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.1138
Journal	IET Control Theory & Applications
Publisher Date	2018-03-15
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Chain Observer Conservative Lipschitz Condition Control System Analysis Control System Synthesis Delay Distributed Parameter Control System Linear Matrix Inequalities Linear System Lipschitz Nonlinear System Long Known Bounded Time-varying Delay Long Time-varying Delayed Measurement Lyapunov Method Nonlinear Control System Observer Gain Observers Parameterised Linear Matrix Inequalities Significant Delayed Measurement Stability Stability in Control Theory Synthesis Method System State Time Horizon Time Varying Control System Time Varying System
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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