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A method for order reduction of switched controllers is presented in this paper. The proposed technique is based on the generalized gramian framework for model reduction. To the best of our knowledge, there is no other reported result on switched controller reduction in the literature. The method is an LMI-based technique in which to avoid numerical instability and also to increase the numerical efficiency,...
A new bounded-error approach for the identification of discrete time hybrid systems in the piece-wise affine (PWA) form is introduced. The PWA identification problem involves the estimation of the number of affine submodels, the parameters of affine submodels and the partition of the PWA map from data. By imposing a bound on the identification error, we formulate the PWA identification problem as...
In this paper we propose a procedure for recursive identification of discrete time piecewise affine (PWA) hybrid systems. The PWA identification problem involves the estimation of both the parameters of affine submodels and the partition of the PWA map from data. In this paper the submodel parameters estimation problem is solved via recursive k-plane clustering algorithm and the problem of region...
A new method for relative error model order reduction is proposed. The reduction technique is based on two recently developed methods, namely frequency domain balanced truncation within a frequency bound and inner-outer factorization techniques. The proposed method is of interest for practical model order reduction because in this context it is important to keep the accuracy of the approximation as...
A new method for model order reduction for an important class of nonlinear dynamical systems is proposed. The reduction technique is based on the frequency balance reduction method within a desired frequency band and a developed trajectory piecewise-linear (TPWL) model order reduction approach. Both of the methods are recently developed techniques and they can the accuracy and efficiency of the reduction...
A new method for relative error model order reduction is proposed. The reduction technique is based on two recently developed methods, namely frequency domain balanced truncation within a frequency bound and inner-outer factorization techniques. The proposed method is of interest for practical model order reduction because in this context it is important to keep the accuracy of the approximation as...
A new method for model order reduction for an important class of nonlinear dynamical systems is proposed. The reduction technique is based on the frequency balance reduction method within a desired frequency band and a developed trajectory piecewise-linear (TPWL) model order reduction approach. Both of the methods are recently developed techniques and they can the accuracy and efficiency of the reduction...
A new mixed method for relative error model order reduction is proposed. In the proposed method the frequency domain balanced stochastic truncation method is improved by applying the generalized singular perturbation method to the frequency domain balanced system in the reduction procedure. Frequency domain balanced stochastic truncation method is based on two recently developed methods, namely frequency...
A new stability preserving method for model reduction of large linear time invariant circuits is proposed. The reduction technique is based on frequency balancing within an operational or desired bandwidth of a system. This method is of interest for practical model reduction of large circuits because in this context it is important to keep the accuracy of the approximation as high as possible without...
This paper presents a parameter preserving controller order reduction method applied to HiMAT aircraft. The reduction method, is based on frequency balancing within operational bandwidth of the system. This method is of interest for practical controller reduction for HiMAT because in this context it is important to keep the accuracy of approximation as high as possible without sacrificing the important...
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