Results 11 to 20 of about 10,401 (258)
New Schemes for Positive Real Truncation [PDF]
Modeling, Identification and Control, 2007 Model reduction, based on balanced truncation, of stable and of positive real systems are considered. An overview over some of the already existing techniques are given: Lyapunov balancing and stochastic balancing, which includes Riccati balancing.
Kari Unneland +2 more
doaj +1 more source
Empirical Balanced Truncation of Nonlinear Systems [PDF]
Journal of Nonlinear Science, 2004 LaTeX, 11 pages, 2 ...
Marissa Condon, Rossen I. Ivanov
openaire +2 more sources
Mathematics, 2023 We propose a generalized multiscale finite element method combined with a balanced truncation to solve a parameter-dependent parabolic problem. As an updated version of the standard multiscale method, the generalized multiscale method contains the ...
Shan Jiang +3 more
doaj +1 more source
Phase Preserving Balanced Truncation for Order Reduction of Positive Real Systems
Automation, 2022 This paper presents a new passivity-preserving order reduction method for linear time-invariant passive systems, which are also called positive real (PR) systems, with the aid of the balanced truncation (BT) method.
Zeinab Salehi +3 more
doaj +1 more source
发电技术, 2023 A reduced order model for subsynchronous oscillation analysis of direct drive wind farm was studied, and a balanced truncation method based on alternating direction implicit (ADI) was proposed.
WANG Jinzhao, YAN Gangui, LIU Kan
doaj +1 more source
Balanced truncation for linear switched systems [PDF]
Advances in Computational Mathematics, 2018 We propose a model order reduction approach for balanced truncation of linear switched systems. Such systems switch among a finite number of linear subsystems or modes. We compute pairs of controllability and observability Gramians corresponding to each active discrete mode by solving systems of coupled Lyapunov equations.
Gosea, Ion Victor +3 more
openaire +6 more sources
Model and Controller Order Reduction for Infinite Dimensional Systems [PDF]
ITB Journal of Engineering Science, 2010 This paper presents a reduced order model problem using reciprocal transformation and balanced truncation followed by low order controller design of infinite dimensional systems.
Fatmawati +3 more
doaj +1 more source
IEEE Access, 2021 In this paper, we first focus on the topic of calculation of cross gramians for linear square systems, which are constructed approximately from the Laguerre series expansion coefficient vectors that are obtained by solving a recurrence formula instead of
Zhen-Zhong Qi +2 more
doaj +1 more source
Balanced Truncation of Linear Time-Varying Systems [PDF]
IEEE Transactions on Automatic Control, 2004 In this paper, balanced truncation of linear time-varying systems is studied in discrete and continuous time. Based on relatively basic calculations with time-varying Lyapunov equations/inequalities we are able to derive both upper and lower error bounds for the truncated models. These results generalize well-known time-invariant formulas.
Henrik Sandberg, Anders Rantzer
openaire +1 more source
Nearly Linear-Phase 2-D Recursive Digital Filters Design Using Balanced Realization Model Reduction
Signals, 2023 This paper presents a new method for the design of separable-denominator 2-D IIR filters with nearly linear phase in the passband. The design method is based on a balanced realization model reduction technique.
Abdussalam Omar +2 more
doaj +1 more source