Dynamic optimal output feedback control of satellite formation reconfiguration based on an LMI approach

Changzhu Wei, Sang Young Park

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


This study presents a dynamic quadratic-optimal (DQO) output feedback controller for satellite formation reconfiguration based on a linear matrix inequality (LMI) approach. A relative motion model involving communication topology of formation flying on a circular reference orbit is established through graph theory. As the design of a static quadratic-optimal (SQO) output feedback controller was determined to be infeasible, emphasis is placed on designing a DQO output feedback controller. Introducing an impulse function enables us to transform the original DQO output feedback control (DQO-OFC) problem into an optimal L2-norm problem, which can be solved in the standard frame of an LMI approach. It is infeasible to employ a conventional substitution method to treat a nonlinear term with a quadratic form. Thus, an elimination method is adopted in order to address nonlinear terms in the matrix inequalities to obtain a set of equivalent LMIs. Additional control quantities are developed in order to retain the formation configuration in a non-zero state. Simulation results demonstrate validity and functionality of the proposed DQO output feedback controller.

Original languageEnglish
Pages (from-to)214-231
Number of pages18
JournalAerospace Science and Technology
Publication statusPublished - 2017 Apr 1

Bibliographical note

Funding Information:
This study was supported by the Global Surveillance Research Center (GSRC) program funded by the Defense Acquisition Program Administration (DAPA) and the Agency for Defense Development (ADD) of Korea.

Publisher Copyright:
© 2017 Elsevier Masson SAS

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering


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