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

作者：Tan, Feng^*; Zhou, Bin^*; Duan, Guang-Ren^*

来源：Automatica, 2016, 68: 277-285.

DOI：10.1016/j.automatica.2016.01.003

• Finite-time stabilization
• Linear time-varying systems
• Piecewise constant feedback
• Linear matrix inequalities

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 BIT missile. Comparison with existing methods is given and the simulation results show the effectiveness of the proposed method.

• 出版日期2016-6
• 单位哈尔滨工业大学