Sliding mode observers and unknown input estimations for nonlinear systems

[1]  H. Sira-Ramírez.  Differential geometric methods in variable-structure control , 1988 .

[2]  Yeng Chai Soh,et al.  Nonlinear multi-rate current state estimation: convergence analysis and application to biological systems , 2004, Comput. Chem. Eng..

[3]  S. Drakunov.  Sliding-mode observers based on equivalent control method , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[4]  X. Xia,et al.  Nonlinear observer design by observer error linearization , 1989 .

[5]  R. Rajamani,et al.  Existence and design of observers for nonlinear systems: Relation to distance to unobservability , 1998 .

[6]  D. Dochain,et al.  On-Line Estimation and Adaptive Control of Bioreactors , 2013 .

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

[8]  S. Banks,et al.  A Note on Nonlinear Observers , 1980 .

[9]  Wei-bing Gao,et al.  On exponential observers for nonlinear systems , 1988 .

[10]  Krishna Busawon,et al.  Observer design based on triangular form generated by injective map , 2000, IEEE Trans. Autom. Control..

[11]  Yeng Chai Soh,et al.  Nonlinear sliding mode observers for state and unknown input estimations , 2007, 2007 46th IEEE Conference on Decision and Control.

[12]  J. Barbot,et al.  A finite time observer for flux estimation in the induction machine , 2002, Proceedings of the International Conference on Control Applications.

[13]  Christopher Edwards,et al.  ROBUST OUTPUT TRACKING USING A SLIDING MODE CONTROLLER/OBSERVER SCHEME , 1996 .

[14]  H. Khalil.  Adaptive output feedback control of nonlinear systems represented by input-output models , 1996, IEEE Trans. Autom. Control..

[15]  Hassan K. Khalil,et al.  Output feedback sampled-data control of nonlinear systems using high-gain observers , 2001, IEEE Trans. Autom. Control..

[16]  P.V. Kokotovic,et al.  The joy of feedback: nonlinear and adaptive , 1992, IEEE Control Systems.

[17]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[18]  Arthur J. Krener,et al.  Linearization by output injection and nonlinear observers , 1983 .

[19]  R. E. Kalman,et al.  New Results in Linear Filtering and Prediction Theory , 1961 .

[20]  D. Bestle,et al.  Canonical form observer design for non-linear time-variable systems , 1983 .

[21]  D. Luenberger.  Observing the State of a Linear System , 1964, IEEE Transactions on Military Electronics.

[22]  P. Kokotovic,et al.  The peaking phenomenon and the global stabilization of nonlinear systems , 1991 .

[23]  Sarah K. Spurgeon,et al.  Sliding mode control design for uncertain discrete-time systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[24]  Norbert Wiener,et al.  Extrapolation, Interpolation, and Smoothing of Stationary Time Series, with Engineering Applications , 1949 .

[25]  Xinghuo Yu,et al.  Discretization behaviors of equivalent control based sliding-mode control systems , 2003, IEEE Trans. Autom. Control..

[26]  Hassan K. Khalil,et al.  A separation principle for the stabilization of a class of nonlinear systems , 1997, 1997 European Control Conference (ECC).

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

[28]  S. Żak,et al.  State observation of nonlinear uncertain dynamical systems , 1987 .

[29]  Yi Xiong,et al.  Sliding mode observer for nonlinear uncertain systems , 2001, IEEE Trans. Autom. Control..

[30]  Hassan K. Khalil,et al.  Nonlinear Output-Feedback Tracking Using High-gain Observer and Variable Structure Control, , 1997, Autom..

[31]  Chee Pin Tan,et al.  Sliding mode observers for fault detection and isolation , 2002 .

[32]  Leonid M. Fridman,et al.  Second-order sliding-mode observer for mechanical systems , 2005, IEEE Transactions on Automatic Control.

[33]  Babatunde A. Ogunnaike.  On-line modelling and predictive control of an industrial terpolymerization reactor , 1994 .

[34]  Vadim I. Utkin,et al.  A singular perturbation analysis of high-gain feedback systems , 1977 .

[35]  Jean-Jacques E. Slotine,et al.  Sliding controller design for non-linear systems , 1984 .

[36]  V. Utkin,et al.  Sliding mode observers. Tutorial , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[37]  Vadim I. Utkin,et al.  Sliding Modes and their Application in Variable Structure Systems , 1978 .

[38]  O. Kaynak,et al.  On the stability of discrete-time sliding mode control systems , 1987 .

[39]  Hideki Hashimoto,et al.  VSS observer for motion control systems , 1989, Proceedings. ICCON IEEE International Conference on Control and Applications.

[40]  H. Sira-Ramirez,et al.  Nonlinear variable structure systems in sliding mode: the general case , 1989 .

[41]  Shouchuan Hu.  Differential equations with discontinuous right-hand sides☆ , 1991 .

[42]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[43]  M. Zeitz,et al.  Extended Luenberger observer for non-linear multivariable systems , 1988 .

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

[45]  H. Khalil,et al.  Discrete-time implementation of high-gain observers for numerical differentiation , 1999 .

[46]  Okyay Kaynak,et al.  Discrete-time sliding mode control in the presence of system uncertainty , 1993 .

[47]  J. Gauthier,et al.  High gain estimation for nonlinear systems , 1992 .

[48]  C. Kravaris,et al.  Geometric methods for nonlinear process control. 1. Background , 1990 .

[49]  M. Hou,et al.  Design of observers for linear systems with unknown inputs , 1992 .

[50]  J. Gauthier,et al.  A simple observer for nonlinear systems applications to bioreactors , 1992 .

[51]  Olivier Bernard,et al.  Nonlinear observers for a class of biological systems: application to validation of a phytoplanktonic growth model , 1998, IEEE Trans. Autom. Control..

[52]  R. Gudi,et al.  Multirate state and parameter estimation in an antibiotic fermentation with delayed measurements , 1994, Biotechnology and bioengineering.

[53]  Jean-Jacques E. Slotine,et al.  Tracking control of nonlinear systems using sliding surfaces , 1983 .

[54]  Masoud Soroush,et al.  Nonlinear State Estimation in the Presence of Multiple Steady States , 1996 .

[55]  H. Sira-Ramírez.  Sliding regimes in general non-linear systems: a relative degree approach , 1989 .

[56]  R. W. Wilde,et al.  Observers for linear systems with unknown inputs , 1988 .

[57]  A. Krener,et al.  Nonlinear controllability and observability , 1977 .

[58]  J. Hedrick,et al.  Observer design for a class of nonlinear systems , 1994 .

[59]  Hassan Hammouri,et al.  Observer-based approach to fault detection and isolation for nonlinear systems , 1999, IEEE Trans. Autom. Control..

[60]  F Rikus Eising,et al.  Between controllable and uncontrollable , 1984 .

[61]  Arie Levant,et al.  Quasi-continuous high-order sliding-mode controllers , 2005, IEEE Transactions on Automatic Control.

[62]  H. Hammouri,et al.  Observer design for a special class of nonlinear systems , 1998 .

[63]  Xinghuo Yu.  Discrete variable structure control systems , 1993 .

[64]  J. Hedrick,et al.  Control of multivariable non-linear systems by the sliding mode method , 1987 .

[65]  Y. Soh,et al.  Robust observer with sliding mode estimation for nonlinear uncertain systems , 2007 .

[66]  Mohinder S. Grewal,et al.  Kalman Filtering: Theory and Practice , 1993 .

[67]  Zak.  On the stabilization and observation of nonlinear/uncertain dynamic systems , 1989 .

[68]  K. Furuta.  Sliding mode control of a discrete system , 1990 .

[69]  A. J. Koshkouei,et al.  Sliding mode observers for a class of nonlinear systems , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[70]  R. Rajamani.  Observers for Lipschitz nonlinear systems , 1998, IEEE Trans. Autom. Control..

[71]  Hsiao-Ping Huang,et al.  A sliding observer for nonlinear process control , 1997 .

[72]  S. Żak,et al.  Comparative study of non-linear state-observation techniques , 1987 .

[73]  H. Sira-Ramírez.  Non-linear discrete variable structure systems in quasi-sliding mode , 1991 .

[74]  A. N. Atassi,et al.  Separation results for the stabilization of nonlinear systems using different high-gain observer designs ☆ , 2000 .

[75]  U. Ozguner,et al.  Equivalent value filters in disturbance estimation and state observation , 1999 .

[76]  Yeng Chai Soh,et al.  High-Gain Observers With Sliding Mode for State and Unknown Input Estimations , 2009, IEEE Transactions on Industrial Electronics.

[77]  Leonid M. Fridman,et al.  Analysis of chattering in continuous sliding-mode controllers , 2005, IEEE Transactions on Automatic Control.

[78]  S. V. Baida.  Unit sliding mode control in continuous- and discrete-time systems , 1993 .

[79]  Masoud Soroush,et al.  Multirate nonlinear state estimation with application to a polymerization reactor , 1999 .

[80]  Sarah K. Spurgeon,et al.  Hyperplane design techniques for discrete-time variable structure control systems , 1992 .

[81]  E. Yaz,et al.  Lyapunov-based nonlinear observer, design for stochastic systems , 1990, 29th IEEE Conference on Decision and Control.

[82]  I. Kanellakopoulos,et al.  A toolkit for nonlinear feedback design , 1992 .

[83]  Zhihong Man,et al.  Multi-input uncertain linear systems with terminal sliding-mode control , 1998, Autom..

[84]  Hong Ren Wu,et al.  A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators , 1994, IEEE Trans. Autom. Control..

[85]  H. Sira-Ramírez,et al.  On the robust design of sliding observers for linear systems , 1994 .

[86]  S. Drakunov.  Adaptive quasioptimal filter with discontinuous parameters , 1984 .

[87]  T. Floquet *,et al.  On the robust fault detection via a sliding mode disturbance observer , 2004 .

[88]  D. Luenberger.  Observers for multivariable systems , 1966 .

[89]  C. Y. Chan,et al.  Servo-systems with discrete-variable structure control , 1991 .

[90]  A. Krener,et al.  Nonlinear observers with linearizable error dynamics , 1985 .

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

[92]  Costas Kravaris,et al.  Geometric methods for nonlinear process control. 2. Controller synthesis , 1990 .

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

[94]  M. Saif,et al.  Sliding-mode observer for uncertain systems. I Linear systems case , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[95]  G Stephanopoulos,et al.  Studies on on‐line bioreactor identification. I. Theory , 1984, Biotechnology and bioengineering.

[96]  Masoud Soroush,et al.  Nonlinear State Estimation in a Polymerization Reactor , 1997 .

[97]  Tzyh Jong Tarn,et al.  Exponential Observers for Nonlinear Dynamic Systems , 1975, Inf. Control..

[98]  B. Anderson,et al.  Digital control of dynamic systems , 1981, IEEE Transactions on Acoustics, Speech, and Signal Processing.

[99]  Xinghuo Yu,et al.  Analysis of discrete variable structure systems with pseudo-sliding modes , 1992 .

[100]  Xinghuo Yu,et al.  Variable structure control design for uncertain dynamic systems with disturbances in input and output channels , 1999, Autom..

[101]  Nahum Shimkin,et al.  Nonlinear Control Systems , 2008 .

[102]  S. Spurgeon,et al.  On the development of discontinuous observers , 1994 .

[103]  Jie Chen,et al.  Design of unknown input observers and robust fault detection filters , 1996 .

[104]  Miroslav KRSTIĆt,et al.  Observer-based schemes for adaptive nonlinear state-feedback control , 1994 .

[105]  J. Hedrick,et al.  Nonlinear Observers—A State-of-the-Art Survey , 1989 .

[106]  Avrie Levent,et al.  Robust exact differentiation via sliding mode technique , 1998, Autom..

[107]  Paul M. Frank,et al.  Fault-diagnosis by disturbance decoupled nonlinear observers , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[108]  Masoud Soroush.  State and parameter estimations and their applications in process control , 1998 .

[109]  E. Yaz,et al.  Variable structure observer with a boundary-layer for correlated noise/disturbance models and disturbance minimization , 1993 .

[110]  V. Utkin,et al.  VSS observer for linear time varying system , 1990, [Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society.

[111]  A. J. Koshkouei,et al.  Sliding mode state observation for non-linear systems , 2004 .

[112]  G. Bornard,et al.  Observability for any u(t) of a class of nonlinear systems , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

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

[114]  T. Floquet,et al.  On Sliding Mode Observers for Systems with Unknown Inputs , 2006, International Workshop on Variable Structure Systems, 2006. VSS'06..

[115]  J. Gauthier,et al.  Observability and observers for non-linear systems , 1986, 1986 25th IEEE Conference on Decision and Control.

[116]  T. Boukhobza,et al.  High order sliding modes observer , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[117]  Kar-Keung D. Young.  Controller Design for a Manipulator Using Theory of Variable Structure Systems , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

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

[119]  G. Bartolini,et al.  Chattering avoidance by second-order sliding mode control , 1998, IEEE Trans. Autom. Control..

[120]  A. J. Koshkouei,et al.  Sliding mode state observers for SISO linear discrete-time systems , 1996 .

[121]  S. Żak,et al.  Observation of dynamical systems in the presence of bounded nonlinearities/uncertainties , 1986, 1986 25th IEEE Conference on Decision and Control.

[122]  J. Gauthier,et al.  Global time-varying linearization up to output injection , 1992 .

[123]  A. Tornambè.  Use of asymptotic observers having-high-gains in the state and parameter estimation , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[124]  Kyu Yong Choi,et al.  On-line estimation and control of a continuous stirred tank polymerization reactor , 1991 .

[125]  A.H. Haddad,et al.  Applied optimal estimation , 1976, Proceedings of the IEEE.

[126]  J. Barbot,et al.  Sliding mode observer for triangular input form , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[127]  L. Fu,et al.  Globally stable robust tracking of nonlinear systems using variable structure control and with an application to a robotic manipulator , 1990 .

[128]  D. Luenberger.  An introduction to observers , 1971 .

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

[130]  T. Tarn,et al.  Observers for nonlinear stochastic systems , 1975, 1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes.

[131]  H.-P. Opitz,et al.  Robustness properties of discrete-variable structure controllers , 1986 .

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