On an output‐feedback stabilization problem with uncertainty in the relative degree

This paper deals with an output-feedback finite-time control problem for a class of nonlinear uncertain systems whose relative degree is affected by an uncertain system parameter and is therefore unknown at the stage of control design. We show that an existing second-order sliding mode control algorithm can address successfully the control task of a finite-time output-feedback stabilization when the uncertain relative degree is equal to 1 or 2. We derive constructive tuning rules for the control parameters and show its effectiveness by using computer simulations. Copyright © 2007 John Wiley & Sons, Ltd.

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

[2]  Yuri B. Shtessel,et al.  Continuous Traditional and High-Order Sliding Modes for Satellite Formation Control , 2005 .

[3]  Y. ORLOV,et al.  Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems , 2004, SIAM J. Control. Optim..

[4]  Leonid M. Fridman,et al.  Analysis of second-order sliding-mode algorithms in the frequency domain , 2004, IEEE Transactions on Automatic Control.

[5]  Giorgio Bartolini,et al.  Global stabilization for nonlinear uncertain systems with unmodeled actuator dynamics , 2001, IEEE Trans. Autom. Control..

[6]  Giorgio Bartolini,et al.  On the Robust Stabilization of Nonlinear Uncertain Systems With Incomplete State Availability , 2000 .

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

[8]  Antonella Ferrara,et al.  On second order sliding mode controllers , 1998 .

[9]  M. Khalid Khan,et al.  SECOND ORDER SLIDING MODE CONTROL OF A DIESEL ENGINE , 2008 .

[10]  Giorgio Bartolini,et al.  Higher-Order Sliding Modes for the Output-Feedback Control of Nonlinear Uncertain Systems , 2002 .

[11]  Vadim I. Utkin,et al.  On multi-input chattering-free second-order sliding mode control , 2000, IEEE Trans. Autom. Control..

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

[13]  Giorgio Bartolini,et al.  A survey of applications of second-order sliding mode control to mechanical systems , 2003 .

[14]  Leonid Fridman.  Chattering analysis in sliding mode systems with inertial sensors , 2003 .

[15]  Wilfrid Perruquetti,et al.  Higher-order sliding mode stabilization for a class of nonholonomic perturbed systems , 2003, Autom..

[16]  Giorgio Bartolini,et al.  An improved second-order sliding-mode control scheme robust against the measurement noise , 2004, IEEE Transactions on Automatic Control.

[17]  Antonella Ferrara,et al.  On the convergence properties of a 2-sliding control algorithm for non-linear uncertain systems , 2001 .

[18]  Ronald M. Hirschorn.  Singular sliding-mode control , 2001, IEEE Trans. Autom. Control..

[19]  J. Slotine,et al.  On Sliding Observers for Nonlinear Systems , 1986, 1986 American Control Conference.

[20]  T. Zolezzi,et al.  A variational approach to second-order approximability of sliding mode control systems , 2004 .