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In this paper, we consider the following problem: what passivity properties can be inferred for a system by studying only an approximate mathematical model for it. Our results show that an excess of passivity (whether in the form of input strictly passive, output strictly passive or very strictly passive) in the approximate model guarantees a certain passivity index for the system, provided that the...
The generalized singular perturbation approximation is a method for approximation of dynamical systems which has been presented in the literature on model reduction over the past two decades. In this note, the generalized singular perturbation approximation is studied and it is shown that this order reduction method is not always true and may leads to inaccurate results and is therefore erroneous...
The problem of model reduction by moment matching for switched power converters described in so-called port controlled Hamiltonian form is addressed and solved using the recently introduced notion of moment for nonlinear systems. The theory is illustrated by means of simulations on a three-phase rectifier with LCL filter.
This paper considers the problem of passing from a nonlinear time-invariant high-order model of a nonlinear hydropneumatic vehicle suspension to a low-order approximation. The method presented in this paper requires the simulation of original system with its typical inputs. In the next step, it designates one part of the state space which contains the major information the so-called dominant subspace...
In this paper an approximate analysis approach for high order nonlinear systems driven by Gaussian white noise is presented. The algorithm is based on the exact solution to the Fokker-Planck equation of a second order system and as optimal model reduction technique. An illustrative example is given to show the appication of this approximate approach from which it can be seen that the accuracy of the...
In this paper we address the problem of approximate observer design for linear and a special class of bilinear systems. In contrast to the well-known reduced-order observers, the approximate observers proposed in this paper are developed based upon the internally balanced model reduction of the designed observers. Simulation results obtained from the numerical design procedures are included to illustrate...
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