On output feedback control of positive linear systems

Author

Chung-Yao Kao

Author_Institution

Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan

fYear

2014

fDate

9-12 Sept. 2014

Firstpage

881

Lastpage

885

Abstract

This note is concerned with stabilization and optimal control for state space systems that exhibit the so-called “internal positivity” property. Specifically, we generalize the results by A. Rantzer (IEEE CDC 2011, p.6008-6011) to the multiple-input-multiple-output setting, and show that a stabilizing decentralized output feedback controller that makes the closed-loop system internally positive and satisfying a general quadratic performance index, when it exits, can be computed using linear programming. An example related to decentralized control of a vehicle platoon is examined to illustrate the proposed synthesis conditions.

Keywords

MIMO systems; closed loop systems; decentralised control; feedback; linear programming; linear systems; optimal control; stability; state-space methods; closed-loop system internally positive; decentralized control; general quadratic performance index; internal positivity property; linear programming; multiple-input-multiple-output setting; optimal control; positive linear systems; stabilization; stabilizing decentralized output feedback controller; state space systems; vehicle platoon; Closed loop systems; Discrete-time systems; Linear programming; Linear systems; Mathematical model; Output feedback; Vehicles; ℋ∞ control; linear programming; positive linear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE Annual Conference (SICE), 2014 Proceedings of the

Conference_Location

Sapporo

Type

conf

DOI

10.1109/SICE.2014.6935232

Filename

6935232