Title :
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
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;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2014 11th World Congress on
DOI :
10.1109/WCICA.2014.7052963
