<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>This paper addresses a new method for order reduction of linear time invariant discrete-time controller. This method leads to a new algorithm for controller reduction when a discrete time controller is used to control a continuous time plant. In this algorithm, at first, a full order controller is designed in <italic>s</italic>-plane. Then, bilinear transformation is applied to map the closed loop system to <italic>z</italic>-plane. Next, new closed loop controllability and observability grammians are calculated in <italic>z</italic>-plane. Finally, balanced truncation idea is used to reduce the order of controller. The stability property of the reduced order controller is discussed. To verify the effectiveness of our method, a reduced controller is designed for four discs system.</p></abstract>

This paper addresses a new method for order reduction of linear time invariant discrete-time controller. This method leads to a new algorithm for controller reduction when a discrete time controller is used to control a continuous time plant. In this algorithm, at first, a full order controller is designed in s-plane. Then, bilinear transformation is applied to map the closed loop system to z-plane. Next, new closed loop controllability and observability grammians are calculated in z-plane. Finally, balanced truncation idea is used to reduce the order of controller. The stability property of the reduced order controller is discussed. To verify the effectiveness of our method, a reduced controller is designed for four discs system.

Frequency Weighted Discrete-Time Controller Order Reduction Using Bilinear Transformation

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

Journal of Electrical Engineering

This paper addresses a new method for order reduction of linear time invariant discrete-time controller. This method leads to a new algorithm for controller...

Frequency Weighted Discrete-Time Controller Order Reduction Using Bilinear Transformation

Published Online: Jun 07, 2011

Page range: 44 - 48

DOI: https://doi.org/10.2478/v10187-011-0007-1

Keywords
frequency-domain, controller reduction, LTI systems, discrete-time, bilinear transformation

This content is open access.

Frequency Weighted Discrete-Time Controller Order Reduction Using Bilinear Transformation

Published Online: Jun 07, 2011

Page range: 44 - 48

DOI: https://doi.org/10.2478/v10187-011-0007-1

Keywordsfrequency-domain, controller reduction, LTI systems, discrete-time, bilinear transformation

This content is open access.

Keywords
frequency-domain, controller reduction, LTI systems, discrete-time, bilinear transformation