Model Reduction for Linear Descriptor Systems with Many Ports
نویسندگان
چکیده
Circuit simulation for power grid models leads to the challenge of model order reduction for linear descriptor systems with many ports. Based on the ESVDMOR idea of Feldmann and Liu [4], we have proposed several numerical improvements for ESVDMOR to enable the application to sparse and very large-scale systems. In further investigations we have proven that ESVDMOR is, under a few assumptions, stability, passivity, and reciprocity preserving. This paper provides a survey of these developments and outlines error estimation for ESVDMOR.
منابع مشابه
Determining the order of minimal realization of descriptor systems without use of the Weierstrass canonical form
A common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the Weierstrass canonical form. The Weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. The present ...
متن کاملOptimal Control for Descriptor Systems: Tracking Problem (RESEARCH NOTE)
Singular systems have been studied extensively during the last two decades due Abstract to their many practical applications. Such systems possess numerous properties not shared by the well-known state variable systems. This paper considers the linear tracking problem for the continuous-time singular systems. The Hamilton-Jacobi theory is used in order to compute the optimal control and associa...
متن کاملGramian-Based Model Reduction for Descriptor Systems
Model reduction is of fundamental importance in many control applications. We consider model reduction methods for linear time-invariant continuous-time descriptor systems. These methods are based on the balanced truncation technique and closely related to the controllability and observability Gramians and Hankel singular values of descriptor systems. The Gramians can be computed by solving gen...
متن کاملBalanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form
In this paper we give a survey on balanced truncation model order reduction for linear time-invariant continuous-time systems in descriptor form. We first give a brief overview of the basic concepts from linear system theory and then present balanced truncation model reduction methods for descriptor systems and discuss their algorithmic aspects. The efficiency of these methods is demonstrated b...
متن کاملPartial Eigenvalue Assignment in Discrete-time Descriptor Systems via Derivative State Feedback
A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...
متن کامل