Sliding Mode Control, with Integrator, for a Class of Mimo Nonlinear Systems

In this paper, the robust control problem of general nonlinear multi-input multi-output (MIMO) systems is proposed. The robustness against unknown disturbances is considered. Two algorithms based on the Sliding Mode Control (SMC) for nonlinear coupled multi-input multi-output (MIMO) systems are proposed: the first order sliding mode control (FOSMC) with saturation (sat) function and the FOSMC with sat combined with integrator controller. Those algorithms were simulated and implemented on the three tanks test-bed system and the exprimental results confirm the effectiveness of our control design.

[1]  Fumio Harashima,et al.  Brushless servo motor control using variable structure approach , 1988 .

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

[3]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[4]  İlyas Eker,et al.  Sliding mode control with integral augmented sliding surface: design and experimental application to an electromechanical system , 2008 .

[5]  R. Benayache,et al.  Sliding mode control with integral corrector: Design and experimental application to an interconnected system , 2009, 2009 17th Mediterranean Conference on Control and Automation.

[6]  I. Eker,et al.  Sliding mode control with integral action and experimental application to an electromechanical system , 2005, 2005 ICSC Congress on Computational Intelligence Methods and Applications.

[7]  L. Chrifi-Alaoui,et al.  Sliding mode control based on field orientation for an induction motor , 2005, 31st Annual Conference of IEEE Industrial Electronics Society, 2005. IECON 2005..

[8]  Vadim I. Utkin,et al.  Sliding mode control in electromechanical systems , 1999 .

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

[10]  Mohamed Chtourou,et al.  Robust Fuzzy Sliding Mode Controller for Discrete Nonlinear Systems , 2008, Int. J. Comput. Commun. Control.

[11]  Christopher Edwards,et al.  An output feedback sliding mode control strategy for MIMO systems of arbitrary relative degree , 2007, 2007 46th IEEE Conference on Decision and Control.

[12]  Arie Levant,et al.  Chattering Analysis , 2007, IEEE Transactions on Automatic Control.

[13]  Hassan K. Khalil,et al.  Robust output feedback regulation of minimum-phase nonlinear systems using conditional integrators , 2005, Autom..

[14]  Leonid M. Fridman,et al.  An averaging approach to chattering , 2001, IEEE Trans. Autom. Control..

[15]  Christopher Edwards,et al.  An output feedback sliding mode control strategy for MIMO systems of arbitrary relative degree , 2007 .