Bilinear Transformation and Generalized Singular Perturbation Model Reduction [Technical Notes and C - Automatic Control, IEEE Transactions on

نویسنده

  • B. Clapperton
چکیده

A new general bilinear relationship is found between continuous and discrete generalized singular perturbation (GSP) reduced-order models. This result is applied to the problem of deriving discrete analogs of continuous singular perturbation and direct truncation model reduction and leads to a new definition of discrete "Nyquist" model reduction. Also, "unit circle" bilinear transformations are used to relate several known facts about continuous and discrete balanced model reduction and incorporate them into a symmetrical, unified framework.

برای دانلود رایگان 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

Near-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

Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension

As an application of Hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. We have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear Backlund transformations and construction of ...

متن کامل

Discontinuous Perturbation Analysis of Discrete-Event Dynamic Systems [Technical Notes and Correspon - Automatic Control, IEEE Transactions on

H. Lee, 2. Lin, and T. S. Huang, “Finding 3-D point correspondences in motion estimation,” in Proc. Eighth Int. Con$ Pattern Recognition, 1986, pp. 303-30.5. D. B. Goldgof, H. Lee, and T. S. Huang, “Matching and motion estimation of three dimensional point and line sets using eigenstructure without correspondences,” Pattern Recognition, vol. 25, no. 3, pp. 271-286, 1992. U. Helmke and J. B. Moo...

متن کامل

Detecting the location of the boundary layers in singular perturbation problems with general linear non-local boundary ‎conditions‎

Singular perturbation problems have been studied by many mathematicians. Since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. This paper, investigates this issue for a singular perturbation problem including a first order differential equation with gen...

متن کامل

Singular Perturbation Approximation of Balanced Systems

This paper relates the singular perturbation approximation technique for model reduction to the direct truncation technique if the system model to be reduced is stable, minimal, and internally balanced. It shows that these two methods constitute two fully compatible model reduction techniques for a continuous-time system, and both methods yield a stable, minimal, and internally balanced reduced...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004