Title :
Second-Order Sliding Mode Control for Nonlinear Uncertain Systems Bounded by Positive Functions
Author :
Shihong Ding ; Jiadian Wang ; Wei Xing Zheng
Author_Institution :
Sch. of Electr. & Inf. Eng., Jiangsu Univ., Zhenjiang, China
Abstract :
This paper considers the second-order sliding (2-sliding) mode control design problem for nonlinear systems with uncertainties bounded by positive functions. Two different 2-sliding mode control algorithms are proposed, including a discontinuous one and a quasi-continuous one. The discontinuous algorithm is built based upon the Lyapunov method, and the global finite-time Lyapunov stability rather than the global finite-time convergence is established for the resulting closed-loop system by using the modified adding a power integrator technique. On this basis, a quasi-continuous 2-sliding mode algorithm is further developed, and the chattering problem can be considerably reduced. Simulation results show that the control strategies proposed in this paper are effective.
Keywords :
Lyapunov methods; closed loop systems; nonlinear control systems; uncertain systems; variable structure systems; 2-sliding mode control; Lyapunov method; closed-loop system; global finite-time Lyapunov stability; global finite-time convergence; nonlinear uncertain systems; positive functions; second-order sliding mode control; Algorithm design and analysis; Convergence; Lyapunov methods; Nonlinear systems; Sliding mode control; Stability analysis; Uncertainty; Adding a power integrator; Sliding mode control; adding a power integrator; finite-time stability; sliding mode control (SMC);
Journal_Title :
Industrial Electronics, IEEE Transactions on
DOI :
10.1109/TIE.2015.2448064