Solving Finite Word Length Realization Problems in the Framework of Structured Singular Value

Author

Wu, Jun ; Chu, Jian ; Li, Gang ; Chen, Sheng

Author_Institution

Ins. Adv. Process Contr., Zhejiang Univ., Hangzhou

Volume

1

fYear

0

fDate

0-0 0

Firstpage

456

Lastpage

460

Abstract

Based on the structured singular value theory, a tractable stability measure is derived for controllers/filters with the finite word length implementation consideration. The optimal realizations of controllers/filters are defined as those that maximize this measure. A sophisticated optimization strategy is presented to provide an efficient method for solving this problem based on the linear matrix inequality, and a numerical example is given to illustrate the design procedure

Keywords

digital control; digital filters; discrete time systems; linear matrix inequalities; optimisation; roundoff errors; singular value decomposition; stability; controller realization; filter realization; finite word length realization; linear matrix inequality; optimization strategy; structured singular value; tractable stability measure; Control systems; Design optimization; Digital control; Filtering theory; Filters; Length measurement; Linear matrix inequalities; Optimal control; Robust stability; Symmetric matrices; Finite word length; controller realization; digital control; structured singular value;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712381

Filename

1712381