Finite-time stabilization of linear time-varying systems by piecewise constant feedback

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• 作者：Feng Tan ^{feng_tttf@hit.edu.cn" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Bin Zhou¹ ; ^{binzhou@hit.edu.cn" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Guang-Ren Duan ^{g.r.duan@hit.edu.cn" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Finite-time stabilization ; Linear time-varying systems ; Piecewise constant feedback ; Linear matrix inequalities
• 刊名：Automatica
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：68
• 期：Complete
• 页码：277-285
• 全文大小：933 K

文摘

Most existing methods for finite-time stabilizing controller design of linear time-varying systems involve solving differential linear matrix equations. Due to the non-convexity of the problem, it requires a high computational burden. This paper proposes a numerical method to solve finite-time stabilization problems. Successive approximations are performed to estimate the evolution of system states. Accordingly, a gain-switched state feedback controller can be obtained by solving a sequence of linear matrix inequalities (LMIs) based optimization problems. The proposed algorithm is used to design the mass–spring system and the autopilot system of the BTT missile. Comparison with existing methods is given and the simulation results show the effectiveness of the proposed method.