Title :
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
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;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712381
