Distributed L₂-Gain Output-Feedback Control of Homogeneous and Heterogeneous Systems

Author

Qiang Jiao
Hamidreza Modares, Missouri University of Science and TechnologyFollow
Frank L. Lewis
Shengyuan Xu
Lihua Xie

Abstract

The importance of static output feedback (OPFB) design for aircraft control, process control, and elsewhere has been well documented since the 1960s, since full state measurements are not usually available in practical systems. This problem is compounded in the case of multi-agent systems (MAS) where each agent has its own state variable and measured outputs. Therefore, this paper addresses the L₂-gain OPFB synchronization of linear MAS subject to external disturbances. Both homogeneous and heterogeneous MAS are considered. For homogeneous MAS, it is shown that the L₂-gain static OPFB synchronization problem of MAS can be cast into the L₂-gain static OPFB problem for a set of decoupled systems that depend on the graph topology. A modified Riccati equation is introduced which gives the OPFB gain and the coupling gain of the proposed static OPFB control protocol. For heterogeneous MAS, it is shown that the L₂-gain synchronization problem can be cast into the L₂-gain static OPFB problem of a set of decoupled systems plus a coupling condition on their dynamic compensators that depends on the graph topology. A certain novel gain matrix is introduced in the dynamics of the control protocol to improve the performance.

Recommended Citation

Q. Jiao et al., "Distributed L₂-Gain Output-Feedback Control of Homogeneous and Heterogeneous Systems," Automatica, vol. 71, pp. 361 - 368, Elsevier, Sep 2016.

The definitive version is available at https://doi.org/10.1016/j.automatica.2016.04.025

Department(s)

Electrical and Computer Engineering

Keywords and Phrases

Aircraft Control; Feedback; Feedback Control; Riccati Equations; Synchronization; Topology; Dynamic Compensator; External Disturbances; Heterogeneous Systems; Modified Riccati Equation; Optimal Design; Output Feedback Controls; Static Output Feedback; Synchronization Problem; Multi Agent Systems; LQR Based Optimal Design; Multi-Agent Systems; Output-Feedback Control; 2-Gain Synchronization

International Standard Serial Number (ISSN)

0005-1098

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2016 Elsevier, All rights reserved.

Publication Date

01 Sep 2016