An efficient algorithm for periodic Riccati equation with periodically time-varying input matrix. (April 2017)

• Record Type: Journal Article
• Authors: Yang, Yaguang
• Is Part Of: Automatica. Volume 78(2017)
• Page Start: 103
• Page End: 109
• Publication Date: 2017-04
• Subjects: Periodic Riccati equation -- LQR -- Spacecraft attitude control -- Magnetic torque; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.12.028
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper proposes an efficient algorithm for the periodic discrete-time Riccati equation arising from a linear periodic time-varying system ( A k, B k ) . Although the algorithm can be used for general problem, it is particularly efficient when A k is time-invariant and B k is periodic, a special property associated with the problem of spacecraft attitude control using magnetic torques. We will compare the proposed algorithm, by using analysis and simulation, to some well-established algorithm to confirm our claim.