Reduction of Large Scale Systems Using Hankel Norm Approximation

نویسندگان

  • Nidhi Singh
  • Rajendra Prasad
چکیده

In this paper a popular time domain reduction method based on hankel norm approximation (HNA) is explored. This method suffers from a drawback of not matching steady state values for some of the systems. A very simple method is given to remove this drawback and an improvement is made so that the steady state value of the original model is also preserved in the reduced model. This increases significantly usefulness of the method and is illustrated with the help of examples. Copyright © 2002 USTARTH

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

Interpolatory H∞ Model Reduction

We introduce an interpolation framework for H∞ model reduction founded on ideas originating in optimal-H2 interpolatory model reduction, realization theory, and complex Chebyshev approximation. By employing a Loewner “data-driven” framework within each optimization cycle, large-scale H∞ norm calculations can be completely avoided. Thus, we are able to formulate a method that remains effective i...

متن کامل

Hankel Norm Model Reduction of Uncertain Neutral Stochastic Time-delay Systems

This paper investigates the problems of robust Hankel norm model reduction for uncertain neutral stochastic time-delay systems with time-varying norm-bounded parameter uncertainties appearing in the state matrices. For a given mean square asymptotically stable system, our purpose is to construct reduced-order systems, which approximate the original system well in the Hankel norm sense. The Hank...

متن کامل

Interpolatory methods for $\mathcal{H}_\infty$ model reduction of multi-input/multi-output systems

We develop here a computationally effective approach for producing high-quality H∞-approximations to large scale linear dynamical systems having multiple inputs and multiple outputs (MIMO). We extend an approach for H∞ model reduction introduced by Flagg, Beattie, and Gugercin [1] for the single-input/single-output (SISO) setting, which combined ideas originating in interpolatory H2-optimal mod...

متن کامل

Optimal Hankel norm model reduction by truncation of trajectories

We show how optimal Hankel-norm approximations of dynamical systems allow for a straightforward interpretation in terms of system trajectories. It is shown that for discrete time single-input systems optimal reductions are obtained by cutting ’balanced trajectories’, i.e., by disconnecting the past and future in the input-output pairs relating to leftand right singular vectors of the system. A ...

متن کامل

Linear Controller Approximation: a Method with Bounds

l h e problem of approximating a high order controller by a low order one is tackled with the aid of a frequency-weighted Hankel norm approximation procedure. Bounds are obtained which weight those arising in the unweighted Hankel norm approximation procedure by a factor depending solely on the weighting function. Keywards. Controllers; approximation theory; controller reduction; system order r...

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 2006