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Sliding motion of discontinuous dynamical systems described by semi-implicit index one differential algebraic equations

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Title Sliding motion of discontinuous dynamical systems described by semi-implicit index one differential algebraic equations
 
Creator AGRAWAL, J
MOUDGALYA, KM
PANI, AK
 
Subject sliding mode
equivalent dynamics
hybrid system
singular system
multiple forcing functions
discontinuous system
 
Description We have proposed an approach to derive a continuous system of differential algebraic equations (DAE) of index one that is dynamically equivalent to a discontinuous index one DAE system. This involves augmenting the convex combination of the ordinary differential equations with the algebraic equations from individual models. This result is proved by using the implicit function theorem. This procedure is illustrated with the help of an ideal gas-liquid system in which the algebraic variables can be expressed as explicit functions of differential variables. It is also demonstrated with an example from a soft-drink manufacturing process, in which, it is difficult to express the algebraic variables as explicit functions of differential variables. Through computer simulation, it is shown that the equivalent dynamic DAE system and the discontinuous DAE system have identical solutions. The proposed method is several orders of magnitude more efficient than the procedure that works with the discontinuous system of DAEs. (c) 2006
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2011-08-26T13:17:35Z
2011-12-26T12:57:27Z
2011-12-27T05:41:32Z
2011-08-26T13:17:35Z
2011-12-26T12:57:27Z
2011-12-27T05:41:32Z
2006
 
Type Article
 
Identifier CHEMICAL ENGINEERING SCIENCE, 61(14), 4722-4731
0009-2509
http://dx.doi.org/10.1016/j.ces.2006.02.039
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11322
http://hdl.handle.net/10054/11322
 
Language en