Low-order controller design for SISO systems using coprime factors and LMI

Author

Wang, Shaopeng ; Chow, Joe H.

Author_Institution

Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA

Volume

45

Issue

6

fYear

2000

fDate

6/1/2000 12:00:00 AM

Firstpage

1166

Lastpage

1169

Abstract

This paper develops a low-order controller design method for linear continuous time-invariant single-input, single-output systems requiring only the solution of a convex optimization problem. The technique integrates several well-known results in control theory. An important step is the use of coprime factors so that, based on strictly positive real functions, feedback stabilization using low-order controllers becomes a zero-placement problem which is convex. From this result, we develop algorithms to solve two optimal control problems

Keywords

continuous time systems; control system synthesis; feedback; linear systems; matrix algebra; optimal control; stability; zero assignment; LMI; SISO systems; continuous time-systems; coprime factorisation; feedback; linear matrix inequality; linear time-invariant systems; low-order controllers; optimal control; stabilization; strictly positive real functions; zero-placement; Adaptive control; Automatic control; Control systems; Design methodology; Design optimization; Equations; Linear matrix inequalities; Programmable control; Signal processing algorithms; Stochastic processes;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.863600

Filename

863600