Periodically time-varying memory static output feedback control design for discrete-time LTI systems
Abstract
This paper addresses the problem of static output feedback (SOF) stabilization for discrete-time LTI systems. We approach this problem using the recently developed periodically time-varying memory state-feedback controller (PTVMSFC) design scheme. A bilinear matrix inequality (BMI) condition which uses a pre-designed PTVMSFC is developed to design the periodically time-varying memory SOF controller (PTVMSOFC). The BMI condition can be solved by using BMI solvers. Alternatively, we can apply two-steps and iterative linear matrix inequality algorithms that alternate between the PTVMSFC and PTVMSOFC designs. Finally, an example is given to illustrate the proposed methods.
Keywords
Cite
@article{arxiv.1408.6879,
title = {Periodically time-varying memory static output feedback control design for discrete-time LTI systems},
author = {Dong Hwan Lee and Young Hoon Joo and Myung Hwan Tak},
journal= {arXiv preprint arXiv:1408.6879},
year = {2014}
}
Comments
This paper has been submitted as a supplemental document of "Periodically time-varying memory static output feedback control design for discrete-time LTI systems" submitted to Automatica