NDLI: Variable structure observer design in matrrk second-order formulation for linear & nonlinear vibrating systems using velocity measurements

Content Provider	IEEE Xplore Digital Library
Author	Tri-Tan Van Cao Fangpo He Sammut, K. Lei Chen
Copyright Year	2002
Description	Author affiliation: Flinders University (Tri-Tan Van Cao)
Abstract	This work addresses the problem of Variable Structure Systems (VSS) observer design based on the natural Matrix Second Order (MSO) model that represents a large class of linear and nonlinear mechanical vibrating structures. In this natural MSO form, the symmetric and definiteness properties of the system matrices are exploited to search for a suitable Lyapunov function and an effective VSS estimation law. The proposed observers can be used to robustly estimate oscillations in other degrees-of-freedom (dof) of a multiple-degrees-of-freedom (mdof) linear vibrating system by processing measured velocity signals and control inputs from one or more dof in the presence of matched uncertainties. The method is then extended to cover a class of mdof nonlinear vibrating structures with Lipschitz non-linearities. The benefits of this approach are that it does not require an initial modal transformation, and the observer design problem is solved without resorting to the solution of a nonlinear matrix Riccati equation.
Sponsorship	IEEE Control Syst. Soc
Starting Page	82
Ending Page	87
File Size	603873
Page Count	6
File Format	PDF
ISBN	0780373863
DOI	10.1109/CCA.2002.1040165
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-09-18
Publisher Place	UK
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Observers Variable structure systems State estimation Estimation error Velocity measurement Vibration measurement Symmetric matrices Lyapunov method Signal processing Riccati equations
Content Type	Text
Resource Type	Article

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