<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, a new method for controller reduction of linear time invariant systems is presented. The method is based on newly defined controllability and observability grammians which are calculated from input to state and state to output characteristics of the controller in a certain frequency domain. These grammians are defined for the closed loop system to keep the performance of original controller. The main idea of this method is based on Moores model reduction. The relation of this method with weighted frequency model reduction of Enns will be described by a commutative diagram. The stability property of the new method is investigated. It is shown that the stability for two sided weights can be preserved under certain conditions. The simulation results show the effectiveness of this novel technique.</p></abstract>

In this paper, a new method for controller reduction of linear time invariant systems is presented. The method is based on newly defined controllability and observability grammians which are calculated from input to state and state to output characteristics of the controller in a certain frequency domain. These grammians are defined for the closed loop system to keep the performance of original controller. The main idea of this method is based on Moores model reduction. The relation of this method with weighted frequency model reduction of Enns will be described by a commutative diagram. The stability property of the new method is investigated. It is shown that the stability for two sided weights can be preserved under certain conditions. The simulation results show the effectiveness of this novel technique.

Frequency Weighted Controller Order Reduction (Part I)

School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran

Journal of Electrical Engineering

{"article-title":"Frequency Weighted Controller Order Reduction (Part I)"}

In this paper, a new method for controller reduction of linear time invariant systems is presented. The method is based on newly defined controllability and...

Frequency Weighted Controller Order Reduction (Part I)

Published Online: Jun 07, 2011

Page range: 141 - 148

DOI: https://doi.org/10.2478/v10187-010-0020-9

Keywords
frequency-domain, controller reduction, LTI systems, continuous-time

This content is open access.

Frequency Weighted Controller Order Reduction (Part I)

Published Online: Jun 07, 2011

Page range: 141 - 148

DOI: https://doi.org/10.2478/v10187-010-0020-9

Keywordsfrequency-domain, controller reduction, LTI systems, continuous-time

This content is open access.

Keywords
frequency-domain, controller reduction, LTI systems, continuous-time