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ENERGY FUNCTIONS AND BALANCING FOR NONLINEAR DISCRETE-TIME SYSTEMS
Ricardo Lopezlena*,1, Jacquelien M. A. Scherpen*
* Control Systems Engineering, Faculty of Information
Technology and Systems, Delft University of Technology, P.O.
Box 5031, 2600 GA Delft, The Netherlands.
R.Lopezlena@ITS.TUDelft.nl J.M.A.Scherpen@ITS.TUDelft.nl
This paper presents the nonlinear discrete-time versions of the controllability and obserbability function, its properties and algorithms to find them. Furthermore, since the resulting energy functions are continuous functions of the initial state, nonlinear balancing techniques can be directly used. Linear and nonlinear examples are provided to illustrate these algorithms.
Keywords: Nonlinear systems, discrete-time systems, controllabilit y observability, model approximation, model reduction
Session slot T-Th-A07: Nonlinear Discrete Time Systems I/Area code 2c : Non-linear Systems
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