Weighted balanced realization and model reduction for nonlinear systems
نویسندگان
چکیده
In this paper a weighted balanced realization and model reduction for nonlinear systems is proposed which is based on singular value analysis of nonlinear Hankel operators. In the proposed model reduction procedure, an important property, stability is preserved. A numerical example is also shown. This result is expected to be a basis for weighted model order reduction for nonlinear systems. Keywords—nonlinear systems, frequency weighted model reduction, weighted balanced realization
منابع مشابه
Balanced realization and model order reduction for port-Hamiltonian systems
This paper is concerned with nonlinear model order reduction for electro-mechanical systems described by port-Hamiltonian formulae. A novel weighted balacend realization and model order reduction procedure is proposed which preserves port-Hamiltonian structure as well as stability, reachability and observability of the original system. This implies that one can utilize the intrinsic physical pr...
متن کاملAn Algorithm for Multi-Realization of Nonlinear MIMO Systems
This paper presents a theoretical approach to implementation of the “Multi-realization of nonlinear MIMO systems”. This method aims to find state-variable realization for a set of systems, sharing as many parameters as possible. In this paper a special nonlinear multi-realization problem, namely the multi-realization of feedback linearizable nonlinear systems is considered and an algorithm for ...
متن کاملBalanced Realization and Model Order Reduction for Nonlinear Systems Based on Singular Value Analysis
This paper discusses balanced realization and model order reduction for both continuoustime and discrete-time general nonlinear systems based on singular value analysis of the corresponding Hankel operators. Singular value analysis clarifies the gain structure of a given nonlinear operator. Here it is proved that singular value analysis of smooth Hankel operators defined on Hilbert spaces can b...
متن کاملComputation of nonlinear balanced realization and model reduction based on Taylor series expansion
In this paper a computational algorithm for nonlinear balanced realization and model reduction based on Taylor series expansion is proposed. This algorithm requires recursive computations with respect to the order of the Taylor series in which we need to solve linear equations with unknown parameters in each step. Furthermore, the proposed method is applied to a double pendulum system. Some num...
متن کاملPerturbation analysis of TBR model reduction in application to trajectory-piecewise linear algorithm for MEMS structures
In this paper we use perturbation theory approach to analyze using truncated balanced realization (TBR) linear reduction in a Trajectory-Piecewise linear (TPWL) nonlinear model reduction method. We show that the most important factor affecting perturbation properties of the reduction basis of TBR is a spacing of Hankel singular values. The result is applied to choosing an order of reduction basis.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006