17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper MoA09.4

Petersen, Ian (UNSW at ADFA)

Robust H Infinity Control of an Uncertain System Via a Stable Decentralized Output Feedback Controller

Scheduled for presentation during the Regular Session "Large Scale Systems" (MoA09), Monday, July 24, 2006, 12:05−12:30, Room J

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on March 28, 2024

Keywords Large scale systems, Uncertain systems, Integral quadratic constraints

Abstract

This paper presents a procedure for constructing a stable decentralized output feedback controller for a class of uncertain systems in which the uncertainty is described by Integral Quadratic Constraints. The controller is constructed to solve a problem of robust H infinity control. The proposed procedure involves solving a set of algebraic Riccati equations of the H infinity control type which are dependent on a number of scaling parameters. By treating the off-diagonal elements of the controller transfer function matrix as uncertainties, a decentralized controller is obtained by taking the block-diagonal part of a non-decentralized stable output feedback controller which solves the robust H infinity control problem. This approach to decentralized controller design enables the controller to exploit the coupling between the subsystems of the plant.