An Adaptive Finite Time Sliding Mode Observer

This chapter develops a novel adaptive finite time observer which can achieve finite time unmatched parameter estimation and finite time system state observation. The proposed approach has strong robustness and rapid convergence. A step by step proof is given which employs finite time stability and sliding mode principles. It is seen that the method also enables lumped matched uncertainty to be estimated. An illustrative example is used to validate the effectiveness of the proposed approach.

[1]  Hassan Hammouri,et al.  In-line monitoring of the primary drying phase of the freeze-drying process in vial by means of a Kalman filter based observer , 2009 .

[2]  Guido Herrmann,et al.  Robust adaptive finite‐time parameter estimation and control for robotic systems , 2015 .

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

[4]  Zhihong Man,et al.  Continuous finite-time control for robotic manipulators with terminal sliding mode , 2003, Autom..

[5]  Jean-Jacques E. Slotine,et al.  On Sliding Observers for Nonlinear Systems , 1986 .

[6]  Masoud Abbaszadeh,et al.  Robust Hinfinity observer design for sampled-data Lipschitz nonlinear systems with exact and Euler approximate models , 2008, Autom..

[7]  Peter L. Lee Nonlinear Process Control , 1993 .

[8]  Martin Guay,et al.  Finite-time Parameter Estimation in Adaptive Control of Nonlinear Systems , 2008, 2007 American Control Conference.

[9]  Jie Chen,et al.  Observer-based fault detection and isolation: robustness and applications , 1997 .

[10]  Gildas Besancon,et al.  Nonlinear observers and applications , 2007 .

[11]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[12]  Dongya Zhao,et al.  Adaptive output feedback finite time control for a class of second order nonlinear systems , 2016, 2016 14th International Workshop on Variable Structure Systems (VSS).

[13]  M. Zeitz The extended Luenberger observer for nonlinear systems , 1987 .

[14]  Dongya Zhao,et al.  Output Feedback Terminal Sliding Mode Control for a Class of Second Order Nonlinear Systems , 2013 .

[15]  Zhiqiang Gao,et al.  A survey of state and disturbance observers for practitioners , 2006, 2006 American Control Conference.

[16]  Chia-Chi Tsui,et al.  Observer design — A survey , 2015, Int. J. Autom. Comput..

[17]  Hassan K. Khalil,et al.  High-gain observers in nonlinear feedback control , 2009, 2009 IEEE International Conference on Control and Automation.

[18]  Sarah K. Spurgeon,et al.  Sliding mode observers: a survey , 2008, Int. J. Syst. Sci..

[19]  Xinghuo Yu,et al.  Continuous Finite-Time Output Regulation for Disturbed Systems Under Mismatching Condition , 2015, IEEE Transactions on Automatic Control.

[20]  David W. L. Wang,et al.  Output feedback sliding mode control in the presence of unknown disturbances , 2009, Syst. Control. Lett..