Results 221 to 230 of about 10,401 (258)
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A note on closed-loop balanced truncation
IEEE Transactions on Automatic Control, 1996The closed-loop balanced truncation (CLBT) is discussed. CLBT performs truncation on a realization of the controller in which the parts \(P_c\) and \(Q_c\) of the controllability and observability gramians that correspond to the controller states are balanced; as a result the closed-loop transfer function is changed as little as possible.
Geert Schelfhout, Bart De Moor
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Mixed Positive-Bounded Balanced Truncation
IEEE Transactions on Circuits and Systems II: Express Briefs, 2021Reducing the order of positive real and bounded real systems has received great interest over the years. Several methods have been published regarding these issues which are able to produce positive real or bounded real reduced models. However, none of them can guarantee that the reduced models are both positive real and bounded real at the same time ...
Zeinab Salehi +2 more
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On the Balanced Truncation of LTV Systems
IEEE Transactions on Automatic Control, 2006This note furthers results on the balanced truncation of stable linear time-varying discrete-time systems. The main result contributes better error bounds than the currently available ones in certain model reduction scenarios; this is demonstrated in an example of a four-mass translational system.
Farhood, Mazen, Dullerud, Geir E
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Generalized balanced stochastic truncation
29th IEEE Conference on Decision and Control, 1990A modification of the balanced stochastic truncation method for relative error model reduction is introduced. The method is shown to satisfy an infinity norm bound on the relative error between the full order and the reduced order models. The discrete time balanced stochastic truncation algorithm is at the heart of the new method, and a relative error ...
M. Green, B.D.O. Anderson
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Balanced stochastic truncation of coupled 3D interconnect
Proceedings of 2013 International Conference on IC Design & Technology (ICICDT), 2013Model order reduction techniques have been used extensively to reduce the complexity of extracted interconnect circuits and to expedite fast and accurate circuit simulation. In this paper, we introduce a balanced stochastic truncation in model order reduction of a coupled 3D interconnect to provide uniform approximation of the frequency response of the
Amir Zjajo +2 more
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Generalized incremental balanced truncation for nonlinear systems
52nd IEEE Conference on Decision and Control, 2013The method of generalized incremental balanced truncation is introduced in this paper, providing a technique for model reduction of nonlinear systems in which the autonomous part of the vector field is anti-symmetric. This approach differs from existing balancing-like reduction techniques in the definition of two novel, incremental energy functions ...
Bart Besselink +3 more
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An improved algorithm for frequency weighted balanced truncation
IEEE Conference on Decision and Control and European Control Conference, 2011In this paper, a new frequency weighted balanced truncation based on Lin and Chiu's technique [1] is presented. The method proposed is a modification to Sreeram and Sahlan's technique [2] by using the relationship between the intermediate reduced order model and the final reduced order model.
Wan Mariam Wan Muda +2 more
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Positivity Preserving Balanced Truncation for Descriptor Systems
SIAM Journal on Control and Optimization, 2009We propose a model reduction method for positive systems that ensures the positivity of the reduced-order model. In the standard as well as in the descriptor case, for continuous-time and discrete-time systems, our approach is based on constructing diagonal solutions of Lyapunov inequalities. These are linear matrix inequalities (LMIs), which are shown
Timo Reis, Elena Virnik
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On model reduction via empirical balanced truncation
Proceedings of the 2005, American Control Conference, 2005., 2005Empirical balanced truncation is considered as an approach for deriving reduced-order models of large-scale nonlinear systems that are of interest in the design of feedback control systems. Empirical balanced truncation is related to the widely-applied proper orthogonal decomposition (POD) methodology and yet may be better suited for closed-loop ...
Douglas A. Lawrence +2 more
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On the optimality of the proper orthogonal decomposition and balanced truncation
2008 47th IEEE Conference on Decision and Control, 2008The proper orthogonal decomposition (POD), also known as Karhunen-Loeve decomposition or principal component analysis, and balanced truncation, are shown to be optimal in the sense of distance minimizations in spaces of Hilbert-Schmidt or trace-class 2 integral operators. Both POD and balanced truncation are shown to be optimal approximations by finite
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