NDLI: Super-twisting observer for second-order systems with time-varying coefficient

Content Provider	IET Digital Library
Author	Guzmán, Eder Moreno, Jaime A.
Abstract	Discontinuous Observers, in particular those based in the Super-Twisting Algorithm, are able to estimate the unknown input of a system in finite time when the relative degree is one for all the time and the input is a Lipschitz function of time. The authors extend in this study this result for the case when the relative degree is not well defined for all the time because of the fact that the unknown input has a time-varying coefficient that can be zero for some time intervals and that can also change its sign. The authors propose a discontinuous observer able to estimate the input in finite time and despite of its bounded but unknown velocity of change during the times the relative degree is well defined and one. They also provide a Lyapunov-like analysis to show the convergence of the observer using multiple instead of a single Lyapunov function. It is shown that if the signal to be estimated is Persistently Exciting and its number of changes of signs is bounded in any bounded interval of time, then the observer converges globally, uniformly and in finite time to the true value. The authors use the observer as estimator of a time-varying parameter and illustrate in an example its performance.
Starting Page	553
Ending Page	562
Page Count	10
ISSN	17518644
Volume Number	9
e-ISSN	17518652
Issue Number	Issue 4, Feb (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/9/4
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2014.0348
Journal	IET Control Theory & Applications
Publisher Date	2015-02-23
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Lipschitz Function Lyapunov Function Lyapunov Method Modelling And Identification Observers Parameter Estimation Second-order System Simulation Stability in Control Theory Supertwisting Observer Time Varying Control System Time Varying System Time-varying Coefficient
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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