Optimal periodic output feedback control: a continuous-time approach and a case study

Abstract

This article deals with the problem of optimal static output feedback control of linear periodic systems in continuous time, for which a continuous-time approach, which allows to deal with both stable and unstable open loop systems, is presented. The proposed approach is tested on the problem of designing attitude control laws for a Low-Earth Orbit (LEO) satellite on the basis of feedback from a triaxial magnetometer and a set of high-precision gyros. Simulation results are used to demonstrate the feasibility of the proposed strategy and to evaluate its performance.

Keywords:

• periodic control
• optimal control
• static output feedback
• spacecraft control
• attitude control
• magnetic control

Acknowledgement

This work was supported in part by the Italian National Research Project ‘New Techniques of Identification and Adaptive Control for Industrial Systems’.