Sliding mode control for slosh-free motion-A class of underactuated system

Underactuated systems are the representative of a large class of systems. This paper presents a new method for the design of sliding surface for a class of second order underactuated system in which a virtual input is considered in unactuated subsystem. A sliding mode controller is proposed to ensure sliding along the sliding surface. A problem of slosh free-motion of a container is considered as representative of a typical class of underactuated system. A simple pendulum model is considered to represent the lateral slosh. Extensive simulation studies are conducted with the controller to demonstrate the proposed approach.

[1]  Yang Liu,et al.  A further study of control for a pendulum-driven cart , 2008 .

[2]  Kyung-Soo Kim,et al.  Sliding Mode Design via Quadratic Performance Optimization with Pole-Clustering Constraint , 2004, SIAM J. Control. Optim..

[3]  J. G. Anderson,et al.  EXPERIMENTS TO CONTROL SLOSHING IN CYLINDRICAL CONTAINERS , 2001 .

[4]  Clark R. Dohrmann,et al.  Control for slosh-free motion of an open container , 1997 .

[5]  N. Ananthkrishnan,et al.  Development of 2DOF Actuation Slosh Rig: A Novel Mechatronic System , 2006, 2006 IEEE International Conference on Industrial Technology.

[6]  V. Utkin.  Variable structure systems with sliding modes , 1977 .

[7]  Valery N. Pilipchuk,et al.  Recent Advances in Liquid Sloshing Dynamics , 2001 .

[8]  K. Terashima,et al.  Sloshing suppression control of liquid transfer systems considering a 3-D transfer path , 2005, IEEE/ASME Transactions on Mechatronics.

[9]  Dongbin Zhao,et al.  Design of a stable sliding-mode controller for a class of second-order underactuated systems , 2004 .

[10]  Ken'ichi Yano,et al.  Robust liquid container transfer control for complete sloshing suppression , 2001, IEEE Trans. Control. Syst. Technol..

[11]  Shailaja Kurode,et al.  Sliding mode control for slosh-free motion of a container using partial feedback linearization , 2008, 2008 International Workshop on Variable Structure Systems.

[12]  J. Baillieul,et al.  Control problems in super-articulated mechanical systems , 1994, IEEE Trans. Autom. Control..

[13]  Han Ho Choi,et al.  An LMI-based switching surface design method for a class of mismatched uncertain systems , 2003, IEEE Trans. Autom. Control..

[14]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[15]  Kyung-Soo Kim,et al.  Designing robust sliding hyperplanes for parametric uncertain systems: a Riccati approach , 2000, Autom..

[16]  R. Decarlo,et al.  Variable structure control of nonlinear multivariable systems: a tutorial , 1988, Proc. IEEE.

[17]  R. Ibrahim.  Liquid Sloshing Dynamics: Theory and Applications , 2005 .

[18]  K.R. Muske,et al.  Optimal sliding mode control for underactuated systems , 2006, 2006 American Control Conference.

[19]  Dennis S. Bernstein,et al.  State space modeling and active control of slosh , 1996, Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro.

[20]  S. Eren Semercigil,et al.  A note on a natural sloshing absorber for vibration control , 2004 .

[21]  Swaroop Darbha,et al.  Dynamic surface control for a class of nonlinear systems , 2000, IEEE Trans. Autom. Control..

[22]  J. Hedrick,et al.  Multiple-surface sliding control of a class of uncertain nonlinear systemsm , 1996 .

[23]  Ken'ichi Yano,et al.  Motion control of liquid container considering an inclined transfer path , 2002 .

[24]  Ümit Özgüner,et al.  Sliding mode control of a class of underactuated systems , 2008, Autom..

[25]  Tankut Acarman,et al.  Rollover prevention for heavy trucks using frequency shaped sliding mode control , 2003, Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003..