Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system

• 来源期刊: 中国物理B（英文版）
• 关键词: fixed time stability integral sliding mode control four-order power system chaotic oscillation non-singular chattering-free
• 年，卷（期）: 2018,（7）
• 页码范围: 263-271
• 页数: 9页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/7/070503

摘要

Chattering phenomenon and singularity are still the main problems that hinder the practical application of sliding mode control. In this paper, a fixed time integral sliding mode controller is designed based on fixed time stability theory, which ensures precise convergence of the state variables of controlled system, and overcomes the drawback of convergence time growing unboundedly as the initial value increases in finite time controller. It makes the controlled system converge to the control objective within a fixed time bounded by a constant as the initial value grows, and convergence time can be changed by adjusting parameters of controllers properly. Compared with other fixed time controllers, the fixed time integral sliding mode controller proposed in this paper achieves chattering-free control, and integral expression is used to avoid singularity generated by derivation. Finally, the controller is used to stabilize four-order chaotic power system. The results demonstrate that the controller realizes the non-singular chattering-free control of chaotic oscillation in the power system and guarantees the fixed time convergence of state variables, which shows its higher superiority than other finite time controllers.