NDLI: Impulsive natural observers for vector second-order Lipschitz non-linear systems

Content Provider	IET Digital Library
Author	Lu, Xiaomei Chen, Wu Hua Xue, Feifei
Abstract	Many mechanical systems can be modelled by vector second-order differential equations. In this study, the observation problem of a class of vector second-order Lipschitz non-linear systems with discrete measurements is addressed. Under the premise that the discrete measurements of position and velocity vectors are available, an impulsive observer in the second-order framework is designed. The proposed observation scheme ensures that the second-order structure of the observed system can be retained, and allows the sampling on the system output to be aperiodic. The stability analysis of the observation error system is performed by employing an impulse-time-dependent discretised Lyapunov function based method. The novelty of the introduced Lyapunov function is that its structure relies on the partition on the impulse intervals. With the increase of the partition number, the existence condition of impulsive natural observers can be relaxed. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed design method.
Starting Page	1349
Ending Page	1356
Page Count	8
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 9, Jun (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/9
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.0926
Journal	IET Control Theory & Applications
Publisher Date	2018-02-27
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Differential Equation (numerical Analysis) Discrete Measurement Impulse-time-dependent Discretised Lyapunov Function Based Method Impulsive Natural Observers Impulsive Observer Linear System Lyapunov Method Mathematical Analysis Mechanical System Nonlinear Control System Observation Error System Observation Problem Observation Scheme Observed System Observers Second-order Differential Equation Second-order Framework Second-order Structure Stability Stability Analysis Stability in Control Theory System Output Vector Vector Second-order Lipschitz Nonlinear System Velocity Vector
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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