Technical communique: Structurally constrained H2 and H∞ control: A rank-constrained LMI approach

Authors:
Seog-Joo Kim;Young-Hyun Moon
Affiliations:
I&C Group, Korea Electrotechnology Research Institute (KERI), Sung Joo Dong, Changwon, Kyungnam 641-120, Korea;Department of Electrical and Electronic Engineering, Yonsei University, Shinchon Dong, Seoul 120-749, Korea
Venue:
Automatica (Journal of IFAC)
Year:
2006

Citing 2
Cited 1

Linear quadratic suboptimal control with static output feedback

Systems & Control Letters
Paper: Low-order control design for LMI problems using alternating projection methods

Automatica (Journal of IFAC)

Non-even spread NSGA-II and its application to conflicting multi-objective compatible control

Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation

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Abstract

This paper describes an iterative linear matrix inequality (LMI) approach to the design of a structurally constrained output feedback controller. The structured synthesis is formulated as a novel rank-constrained LMI optimization problem, where the controller parameters are explicitly described so as to impose structural constraints on the parameter matrices. An iterative penalty-function method based on heuristics is used to solve the rank-constrained LMI problem. A numerical experiment illustrates the practicality of the proposed method.