Stability analysis for a second-order continuous finite-time control system subject to a disturbance

• Published in: Journal of control theory and applications Vol. 7; no. 3; pp. 271 - 276
• Main Authors: Ding, Shihong, Li, Shihua, Li, Qi
• Format: Journal Article
• Language: English
• Published: Heidelberg South China University of Technology and Academy of Mathematics and Systems Science, CAS 01.08.2009; School of Automation,Southeast University,Nanjing Jiangsu 210096,China
• Subjects: Complexity; Computational Intelligence; Control; Control and Systems Theory; Engineering; Mechatronics; Optimization; Robotics; Systems Theory; 二阶系统; 干扰分析; 抗干扰性能; 控制系统; 时间控制法; 有界扰动; 有限时间控制; 稳定性分析; Finite-time control; Disturbance analysis; Second-order system; Bounded disturbance
• ISSN: 1672-6340; 1993-0623
• DOI: 10.1007/s11768-009-8015-4

In this paper, using finite-time control method, we consider the disturbance analysis of a second-order system with unknown but bounded disturbance. We show that the states of the second-order system will be stabilized to a region containing the origin. The radius of this region is determined by the control parameters and can be rendered as small as desired. The rigorous stability analysis is also given. Compared with the conventional PD control law, the finite-time control law yields a better disturbance rejection performance. Numerical simulation results show the effectiveness of the method.