Nonlinear Analysis and Attitude Control of a Gyrostat Satellite with Chaotic Dynamics Using Discrete‐Time LQR‐OGY. Issue 5 (4th February 2016)

• Record Type: Journal Article
• Authors: Abtahi, Seyed Mahdi; Sadati, Seyed Hossein; Salarieh, Hassan
• Is Part Of: Asian journal of control. Volume 18:Issue 5(2016)
• Page Start: 1845
• Page End: 1855
• Publication Date: 2016-02-04
• Subjects: OGY controller -- discrete‐time LQR -- gyrostat satellite -- quasi‐periodic -- chaos; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1278
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: Quasi‐periodic and chaotic behavior, along with the control of chaos for a Gyrostat satellite (GS), is investigated in this work. The quaternion‐based dynamical model of the GS is first derived, and then the influences of the reaction wheels in the GS structure, under the gravity gradient perturbation that causes a route to chaos through quasi‐periodicity mechanism, is investigated. For the suppression of chaos in the system, a chaos control system with the quaternion feedback is designed for the GS based on the extension of the Ott‐Grebogi‐Yorke (OGY) method using the linearization of the Poincaré map. In the extended OGY controller, the Poincaré map is estimated using the Least Square Support Vector Machine (LSSVM) technique. After linearization of the Poincaré map, the Discrete‐time Linear Quadratic Regulator (DLQR) is applied on the linearized Poincaré map, making the DLQR‐OGY controller for chaos. The DLQR‐OGY control system stabilizes the orbits to the fixed points providing a small control input signal, which leads to a decrease in the control effort and energy consumption in the GS system.