Design and analysis of finite-time controller of the ball impact system

Author

Long Xiaojun ; Yu Shuanghe ; Jin Lina ; Du Jialu

Author_Institution

Sch. of Inf. Sci. & Technol., Dalian Maritime Univ., Dalian, China

fYear

2013

Firstpage

1041

Lastpage

1046

Abstract

Finite-time stability involves dynamical systems whose trajectories converge to a Lyapunov stable equilibrium state in finite time. In this paper, we study the finite-time control of the ball impact system. First, finite-time stability of nonlinear continuous systems, hybrid dynamical systems and the definition of finite-time stability are mentioned. Then, we design the finite-time controller and analyze stability of the impulsive double integral system of the ball impact system. Finally, we give and analyze the simulation results of the system which verify the effectiveness of the finite-time controller.

Keywords

continuous systems; control system synthesis; nonlinear control systems; nonlinear dynamical systems; stability; Lyapunov stable equilibrium state; ball impact system; dynamical systems; finite time controller design; finite time stability; impulsive double integral system; Abstracts; Educational institutions; Electronic mail; Information science; Stability criteria; Trajectory; ball impact system; double integral systems; finite-time stability; hybrid dynamical systems; impulsive dynamical systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639581