Infinite horizon quadratic sparsity-promoting optimal control for distributed systems

Author

Zhongmei Wang ; Huanshui Zhang

Author_Institution

Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China

fYear

2014

Firstpage

1625

Lastpage

1629

Abstract

This paper considers sparse feedback gains design of distributed systems. We design the sparse pattern of feedback gains by incorporating sparsity-promoting penalty functions into the infinite horizon quadratic optimal control problem. The added penalty functions approximates the counting of the communicating links. We reformulate this combination optimization problem as a sequence of weighted l₂ problems, then formulate semidefinite programme and therefore its solution can be computed efficiently.

Keywords

control system synthesis; distributed control; feedback; infinite horizon; mathematical programming; optimal control; telecommunication links; combination optimization problem; communicating links; distributed systems; feedback gain sparse pattern; infinite horizon quadratic optimal control problem; infinite horizon quadratic sparsity-promoting optimal control; penalty functions; semidefinite programme; sparse feedback gains design; sparsity-promoting penalty functions; weighted l₂ problems; Compressed sensing; Cost function; Minimization; Optimal control; Signal processing algorithms; Sparse matrices; Communication architecture; l2 minimization; semidefinite programme;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2014 11th World Congress on

Type

conf

DOI

10.1109/WCICA.2014.7052963

Filename

7052963