Balanced realization and model order reduction for port-Hamiltonian systems

نویسنده

  • Kenji FUJIMOTO
چکیده

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 properties such as physical energy and the corresponding dissipativity for the reduced order model. Further, the proposed method reduces the computational effort in solving partial differential equations for nonlinear balanced realization. A numerical simulation shows how the proposed method works.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Port Hamiltonian System in Descriptor Form for Balanced Reduction: Application to a Nanotweezer

This paper proposes a method of balanced model reduction for constrained linear port Hamiltonian systems. Constrained linear port Hamiltonian systems are first written in a canonical descriptor form such that the Hamiltonian structure is preserved. The computations of the controllability and observability Gramians are then used to derive the balanced port Hamiltonian representation of the syste...

متن کامل

Energy-storage Balanced Reduction of Port-hamiltonian Systems

Supported by the framework of dissipativity theory, a procedure based on physical energy to balance and reduce port-Hamiltonian systems with collocated inputs and outputs is presented. Additionally, some relations with the methods of nonlinear balanced reduction are exposed. Finally a structure-preserving reduction method based on singular perturbations is shown. Copyright 2003 c ©IFAC

متن کامل

Interpolation-based H2 model reduction for port-Hamiltonian systems

Port network modeling of physical systems leads directly to an important class of passive state space systems: port-Hamiltonian systems. We consider here methods for model reduction of large scale port-Hamiltonian systems that preserve port-Hamiltonian structure and are capable of yielding reduced order models that satisfy first-order optimality conditions with respect to an H2 system error met...

متن کامل

Weighted balanced realization and model reduction for nonlinear systems

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. Key...

متن کامل

Structure preserving model reduction of port-Hamiltonian systems

It is shown that by use of the Kalman-decomposition an uncontrollable and/or unobservable port-Hamiltonian system is reduced to a controllable/observable system that inherits a port-Hamiltonian structure. Energy and co-energy variable representations for port-Hamiltonian systems are discussed and the reduction procedures are used for both representations. For a general portHamiltonian system in...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008