Controller reduction via stable factorization and balancing

نویسندگان

  • YI LIU
  • Yi Liu
چکیده

A controller reduction procedure based on a representation of a controller as a matrix function defined using stable proper transfer functions and employing a balancing technique is studied in this paper. For a certain right coprime factorization of an LQG designed controller K(s) = N(s)D-'(s), we approximate using a balancing technique the pair [D(s), N(s)lT by a low-order pair [D,(s), N,(s)lT defining a factorization of the reduced-order controller K,(s) = N,(s)DF1(s). We show that reducing the controller order in this way is motivated in a natural way, which leads to the expectation of both good stability properties and good accuracy of approximation of closed-loop behaviour. This is also demonstrated in some examples.

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

SLICOT Working Note 2002-5 New Numerical Software for Model and Controller Reduction1

In this report we describe the recently developed model and controller reduction software for SLICOT within Task II.B of the NICONET Project. A powerful collection of user callable Fortran 77 routines has been implemented based on the latest algorithmic developments which cover the relative error model reduction using the balanced stochastic truncation approach, model reduction using frequency-...

متن کامل

On frequency-weighted coprime factorization based controller reduction

We consider the efficient solution of a class of coprime factorization based controller approximation problems by using frequency-weighted balancing related model reduction approaches. It is shown that for some special stability enforcing frequency-weights, the computation of the frequency-weighted controllability and observability grammians can be done by solving reduced order Lyapunov equatio...

متن کامل

Coprime Factor Reduction of H∞ Controllers

We consider the efficient solution of the coprime factorization based H∞ controller approximation problems by using frequency-weighted balancing related model reduction approaches. It is shown that for a class of frequency-weighted performance preserving coprime factor reduction as well as for a relative error coprime factor reduction method, the computation of the frequency-weighted controllab...

متن کامل

Coprime factorization controller reduction with bezout identity induced frequency weighting

Abstmet-This paper introduces a frequency-weighted frequency-weighted balanced reduction method controller reduction scheme which offcrs good closed-loop (Enns, 1984a, b) and the idea of representing a stability under use of the reduced order controller. By combining the use of a stable fractional representation of the controller as a stable coprime factorization (Liu controller with a frequenc...

متن کامل

Frequency-weighted Balancing Related Controller Reduction

The efficient solution of a class of controller approximation problems by using frequency-weighted balancing related model reduction approaches is considered. It is shown that for certain standard performance and stability enforcing frequency-weights, the computation of the frequency-weighted controllability and observability grammians can be done by solving reduced order Lyapunov equations reg...

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 2005