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Sliding motion and stability of a class of discontinuous dynamical systems

DSpace at IIT Bombay

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Title Sliding motion and stability of a class of discontinuous dynamical systems
 
Creator AGRAWAL, J
MOUDGALYA, KM
PANI, AK
 
Subject discontinuous system
lyapunov function
self regulating system
sliding mode. slug flow
two phase flow
 
Description A closed container with gas and liquid inflows and one outlet for outflow, described by a nonlinear hydraulic model, is shown to reach a state of sliding mode. Through a Lyapunov function, the sliding motion is shown to be stable for all positive exponents in the flow model. This property is independent of factors such as valve opening. valve coefficients, friction factor and initial states, making this device a suitable one to Study two phase flow. The sliding solution of this system, with square root hydraulic model, is found using Filippov's equivalent dynamic approach. The discontinuous system is also solved using an accurate and efficient method that accounts for persistent discontinuity sticking. These two solutions are shown to be in exact agreement.
 
Publisher KLUWER ACADEMIC PUBL
 
Date 2011-08-17T08:06:17Z
2011-12-26T12:55:26Z
2011-12-27T05:40:13Z
2011-08-17T08:06:17Z
2011-12-26T12:55:26Z
2011-12-27T05:40:13Z
2004
 
Type Article
 
Identifier NONLINEAR DYNAMICS, 37(2), 151-168
0924-090X
http://dx.doi.org/10.1023/B:NODY.0000042910.39609.f6
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9804
http://hdl.handle.net/10054/9804
 
Language en