Lyapunov design of adaptive super-twisting controller applied to a pneumatic actuator

Abstract A novel super-twisting adaptive sliding mode control law is derived using Lyapunov function technique. The both drift uncertain term and multiplicative perturbation are assumed to be bounded with unknown boundaries. The proposed approach consists in using dynamically adapted control gains that ensure the establishment, in a finite time, of a real second order sliding mode. The efficacy of the proposed super-twisting control algorithm is evaluated through its application to position control of an electropneumatic actuator.

[1]  Jaime A. Moreno,et al.  A Lyapunov approach to second-order sliding mode controllers and observers , 2008, 2008 47th IEEE Conference on Decision and Control.

[2]  Yuri B. Shtessel,et al.  Smooth second-order sliding modes: Missile guidance application , 2007, Autom..

[3]  Franck Plestan,et al.  High-Order Sliding-Mode Controllers of an Electropneumatic Actuator: Application to an Aeronautic Benchmark , 2009, IEEE Transactions on Control Systems Technology.

[4]  Franck Plestan,et al.  Higher order sliding mode control based on optimal approach of an electropneumatic actuator , 2006 .

[5]  Arie Levant,et al.  Homogeneity approach to high-order sliding mode design , 2005, Autom..

[6]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

[7]  Alexander S. Poznyak,et al.  Reaching Time Estimation for “Super-Twisting” Second Order Sliding Mode Controller via Lyapunov Function Designing , 2009, IEEE Transactions on Automatic Control.

[8]  Antonella Ferrara,et al.  Stabilization of Nonholonomic Uncertain Systems Via Adaptive Second Order Sliding Mode Control , 2008 .

[9]  A. Zinober,et al.  Continuous approximation of variable structure control , 1986 .

[10]  Christopher Edwards,et al.  Sliding mode control : theory and applications , 1998 .

[11]  Sylvie Sesmat,et al.  Analytical model of the flow stage of a pneumatic servo-distributor for simulation and nonlinear control , 1999 .

[12]  Arie Levant,et al.  Higher-order sliding modes, differentiation and output-feedback control , 2003 .

[13]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[14]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[15]  Xavier Brun,et al.  Control of an electropneumatic actuator: Comparison between some linear and non-linear control laws , 1999 .