Optimizing stability bounds of finite-precision PID controller structures

Author

Chen, S. ; Wu, J. ; Istepanian, R.H. ; Chu, J.

Author_Institution

Dept. of Electron. & Comput. Sci., Southampton Univ., UK

Volume

44

Issue

11

fYear

1999

fDate

11/1/1999 12:00:00 AM

Firstpage

2149

Lastpage

2153

Abstract

This paper investigates a recently derived lower bound stability measure for sampled-data controller structures subject to finite-wordlength (FWL) constraints. The optimal realization of the digital PID controller with FWL considerations is formulated as a nonlinear optimization problem, and an efficient strategy based on adaptive simulated annealing (ASA) is adopted to solve this complex optimization problem. A numerical example of optimizing the finite-precision PID controller structure for a simulated steel rolling mill system is presented to illustrate the effectiveness of the proposed strategy

Keywords

digital control; nonlinear programming; optimal control; realisation theory; roundoff errors; sampled data systems; simulated annealing; stability; three-term control; ASA; FWL constraints; adaptive simulated annealing; complex optimization problem; digital PID controller; finite-precision PID controller structures; finite-wordlength constraints; lower bound stability measure; nonlinear optimization; optimal realization; sampled-data controller structures; simulated steel rolling mill system; stability bound optimization; Control systems; Digital control; Industrial control; Milling machines; Optimal control; Optimization methods; Robust stability; Space technology; Steel; Three-term control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.802934

Filename

802934