Discrete System Order-reduction via Balancing Transformation Using Singular Perturbations
نویسندگان
چکیده
Order-reduction techniques based on system balancing are developed for linear discrete systems using the method of singular perturbations. The generalized residualization technique is introduced with three variants as improved tools for orderreduction at low and medium frequencies. The newly introduced techniques have the same theoretical upper error bound with respect to the H∞ norm of the reduced-order system as the existing techniques, but simulation results show the superiority of the new techniques at low and medium frequencies. Next, new techniques are proposed to perform order-reduction of lightly damped linear discrete-time systems by employing the method of singular perturbations and balancing transformation. Copyright © 2005 IFAC
منابع مشابه
Model reduction of modular systems using balancing methods
2. Model reduction via balancing techniques 2 2.1. Gramians for linear, time-invariant systems . . . . . . . . . . . . . . . . . . . . 3 2.2. Empirical gramians for nonlinear systems . . . . . . . . . . . . . . . . . . . . . 5 2.3. Calculating the balancing transformation . . . . . . . . . . . . . . . . . . . . . . 7 2.4. Model reduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
متن کاملNew Dynamic Balancing System Based on Magnetic Interaction and Software Removal of some Perturbations
The purpose of this paper is to present a new type of dynamic balancing system, having a driving solution of the rotating part based on magnetic interactions. The magnetic system also plays the role of an elastic bearing. In the first part of the article is presented the technical solution which allows the dynamic balancing evaluation depending on the radial displacement between two disks with ...
متن کاملA Robust Computational Technique for Model Order Reduction of Two-Time-Scale Discrete Systems via Genetic Algorithms
A robust computational technique for model order reduction (MOR) of multi-time-scale discrete systems (single input single output (SISO) and multi-input multioutput (MIMO)) is presented in this paper. This work is motivated by the singular perturbation of multi-time-scale systems where some specific dynamics may not have significant influence on the overall system behavior. The new approach is ...
متن کاملReduction of production disturbances of a shoemaking industry through a discrete event simulation approach
This study presents a reduction of production disturbances of a shoemaking industry through discrete event simulation approach. The study is conducted at Peacock Shoe factory found in Addis Ababa, Ethiopia. This factory faces line balancing problem that becomes production disturbance for its assembly lines. Detail time study is carried out for the selected shoe model using stopwatch. Assembly ...
متن کاملNear-Optimal Controls of a Fuel Cell Coupled with Reformer using Singular Perturbation methods
A singularly perturbed model is proposed for a system comprised of a PEM Fuel Cell(PEM-FC) with Natural Gas Hydrogen Reformer (NG-HR). This eighteenth order system is decomposedinto slow and fast lower order subsystems using singular perturbation techniques that provides tools forseparation and order reduction. Then, three different types of controllers, namely an optimal full-order,a near-opti...
متن کامل