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

• Published in: International journal of control Vol. 83; no. 5; pp. 897 - 914
• Main Authors: Viganò, Luca, Bergamasco, Marco, Lovera, Marco, Varga, Andras
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.05.2010; Taylor & Francis; Taylor & Francis Ltd
• Subjects: Applied sciences; attitude control; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Exact sciences and technology; Fundamental areas of phenomenology (including applications); magnetic control; Optimal control; periodic control; Physics; Solid dynamics (ballistics, collision, multibody system, stabilization...); Solid mechanics; spacecraft control; static output feedback; Studies; Attitude control; Magnetometers; Solid dynamic; Feedback regulation; Control synthesis; Continuous time; Low earth orbit satellite; Linear control; Periodic control; Closed feedback; Continuous control; Optimal control; Open loop; Feasibility; Low orbit; Output feedback
• ISSN: 0020-7179; 1366-5820
• DOI: 10.1080/00207170903487439

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.