Reliable controller design for a class of nonlinear systems

9 Declaration 10 Copyright 11 Acknowledgements 12 Publications During PhD Study 13 Notation 15 List of Abbreviations 16 Dedication 17

[1]  Hong Wang,et al.  Minimum entropy control of non-Gaussian dynamic stochastic systems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[2]  M. Spong.  On the robust control of robot manipulators , 1992 .

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

[4]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[5]  M. Spong.  Modeling and Control of Elastic Joint Robots , 1987 .

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

[7]  Wilson J. Rugh,et al.  On output regulation for discrete-time nonlinear systems , 1997, Autom..

[8]  A. Isidori.  Nonlinear Control Systems , 1985 .

[9]  Dong-Hwan Hwang,et al.  A nonlinear iterative learning method for robot path control , 1991, Robotica.

[10]  Hong Wang,et al.  ILC-Based Fixed-Structure Controller Design for Output PDF Shaping in Stochastic Systems Using LMI Techniques , 2009, IEEE Transactions on Automatic Control.

[11]  Hong Wang,et al.  Recent Developments in Stochastic Distribution Control/A Review , 2003 .

[12]  Jing-Sin Liu,et al.  A P-type iterative learning controller for robust output tracking of nonlinear time-varying systems , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[13]  Hong Wang,et al.  Fault detection, diagnosis and tolerant control for non-Gaussian stochastic distribution systems using a rational square-root approximation model , 2008, Int. J. Model. Identif. Control..

[14]  Jie Huang,et al.  On a nonlinear multivariable servomechanism problem , 1990, Autom..

[15]  S. Monaco,et al.  Nonlinear regulation for a class of discrete-time systems , 1993 .

[16]  Hong Wang,et al.  Bounded Dynamic Stochastic Systems: Modelling and Control , 2000 .

[17]  Ivan Nagy,et al.  Mixed‐data multi‐modelling for fault detection and isolation , 2002 .

[18]  L. Junfeng,et al.  Output regulation of the general nonlinear discrete-time system , 1999 .

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

[20]  K. Shyu,et al.  Control of rigid robot manipulators via combination of adaptive sliding mode control and compensated inverse dynamics approach , 1996 .

[21]  Hong Wang,et al.  Radial Basis Function based Iterative Learning Control for stochastic distribution systems , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[22]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[23]  Yun Li,et al.  PID control system analysis, design, and technology , 2005, IEEE Transactions on Control Systems Technology.

[24]  B. Francis.  The linear multivariable regulator problem , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[25]  Wang Zicai.  Observer Design for a Class of Nonlinear Systems , 1998 .

[26]  Hong Wang,et al.  Shaping of output PDF based on the rational square-root b-spline model , 2005 .

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

[28]  Hong Wang,et al.  Filter‐based fault detection and diagnosis using output PDFs for stochastic systems with time delays , 2006 .

[29]  T. Crowley,et al.  Experimental studies on optimal molecular weight distribution control in a batch-free radical polymerization process , 1998 .

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

[31]  D. Rees,et al.  Sliding Mode Control for Stochastic Jump Systems with Time-Delay , 2006, 2006 6th World Congress on Intelligent Control and Automation.

[32]  Jin Soo Lee,et al.  An iterative learning control theory for a class of nonlinear dynamic systems , 1992, Autom..

[33]  G. Sallet,et al.  Observers for Lipschitz non-linear systems , 2002 .

[34]  K. Åström.  Introduction to Stochastic Control Theory , 1970 .

[35]  Dorothée Normand-Cyrot,et al.  On the observer design in discrete-time , 2003, Syst. Control. Lett..

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

[37]  Guang-Da Hu,et al.  Observers for one-sided Lipschitz non-linear systems , 2006, IMA J. Math. Control. Inf..

[38]  Salim Ibrir,et al.  On observer design for nonlinear systems , 2006, Int. J. Syst. Sci..

[39]  Ji Haibo,et al.  Robust H∞ control of uncertain stochastic nonlinear systems driven by noise of unknown covariance , 2008, 2008 27th Chinese Control Conference.

[40]  Robert Engel,et al.  Nonlinear observers for autonomous Lipschitz continuous systems , 2003, IEEE Trans. Autom. Control..

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

[42]  C. Byrnes.  Output Regulation of Uncertain Nonlinear Systems , 1997 .

[43]  Hong Wang,et al.  A rational spline model approximation and control of output probability density functions for dynamic stochastic systems , 2003 .

[44]  M. Rovaglio,et al.  Infrared thermographic image processing for the operation and control of heterogeneous combustion chambers , 2002 .

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

[46]  H.A.P. Blom,et al.  Embedding adaptive JLQG into LQ martingale control with a completely observable stochastic control matrix , 1996, IEEE Trans. Autom. Control..

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

[48]  Michel Kinnaert,et al.  Diagnosis and Fault-tolerant Control, 2nd edition , 2006 .

[49]  Kai-Yuan Cai,et al.  Mode-independent robust stabilization for uncertain Markovian jump nonlinear systems via fuzzy control , 2005, IEEE Trans. Syst. Man Cybern. Part B.

[50]  Gang Feng,et al.  Observer design for nonlinear discrete‐time systems: Immersion and dynamic observer error linearization techniques , 2009 .

[51]  Hong Wang,et al.  A comparative study of nonlinear observers applied to a DC servo motor , 2010, 2010 8th World Congress on Intelligent Control and Automation.

[52]  Suguru Arimoto,et al.  Learning control theory for robotic motion , 1990 .

[53]  Michael Zeitz,et al.  Comments on ‘Comparative study of non-linear state-observation techniques’ , 1987 .

[54]  D. Dawson,et al.  On the state observation and output feedback problems for nonlinear uncertain dynamic systems , 1992, Proceedings IEEE Southeastcon '92.

[55]  Jie Huang,et al.  A stability property and its application to discrete-time nonlinear system control , 1994, IEEE Trans. Autom. Control..

[56]  Christopher I. Byrnes,et al.  Output regulation for nonlinear systems: an overview , 2000 .

[57]  Hong Wang,et al.  Recent advances on stochastic distribution control: Probability density function control , 2009, 2009 Chinese Control and Decision Conference.

[58]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[59]  K. Glover,et al.  Minimum entropy H ∞ control , 1990 .

[60]  J. Grizzle,et al.  Observer design for nonlinear systems with discrete-time measurements , 1995, IEEE Trans. Autom. Control..

[61]  P. Olver.  Nonlinear Systems , 2013 .

[62]  Youmin Zhang,et al.  Stochastic stability analysis of fault-tolerant control systems in the presence of noise , 2001, IEEE Trans. Autom. Control..

[63]  Lei Guo,et al.  PID controller design for output PDFs of stochastic systems using linear matrix inequalities , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[64]  M. Abbaszadeh,et al.  Robust H∞ observer design for sampled-data Lipschitz nonlinear systems with exact and Euler approximate models! , 2008 .

[65]  E. Davison,et al.  Multivariable tuning regulators: The feedforward and robust control of a general servomechanism problem , 1975, 1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes.

[66]  Minimum Entropy Control Approach of Closed-Loop Tracking Errors for Dynamic Stochastic Systems Using Yula parameterization formula , 2006, 2006 Chinese Control Conference.

[67]  Hong Wang,et al.  Pseudo-PID tracking control for a class of output PDFs of general non-Gaussian stochastic systems , 2003, Proceedings of the 2003 American Control Conference, 2003..

[68]  Tianyou Chai,et al.  An ILC-Based Adaptive Control for General Stochastic Systems With Strictly Decreasing Entropy , 2009, IEEE Transactions on Neural Networks.

[69]  Panagiotis D. Christofides,et al.  Predictive control of particle size distribution in particulate processes , 2006 .

[70]  Ali Zemouche,et al.  Observer Design for Lipschitz Nonlinear Systems: The Discrete-Time Case , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[71]  Hong Wang,et al.  ILC-based Generalised PI Control for Output PDF of Stochastic Systems Using LMI and RBF Neural Networks , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[72]  Rolf Isermann,et al.  Fault diagnosis of machines via parameter estimation and knowledge processing - Tutorial paper , 1991, Autom..

[73]  Rolf Isermann,et al.  Supervision, fault-detection and fault-diagnosis methods — An introduction , 1997 .

[74]  Ali Saberi,et al.  Observer design for loop transfer recovery and for uncertain dynamical systems , 1990 .

[75]  Jianhua Zhang,et al.  Minimum entropy control of nonlinear ARMA systems over a communication network , 2008, Neural Computing and Applications.

[76]  V. Solo.  Stochastic adaptive control and Martingale limit theory , 1990 .

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

[78]  Martin Guay,et al.  Observer linearization by output-dependent time-scale transformations , 2002, IEEE Trans. Autom. Control..

[79]  M. Boutayeb,et al.  A reduced-order observer for non-linear discrete-time systems , 2000 .

[80]  Engin Yaz.  Optimal stochastic control for performance- and stability-robustness , 1993, IEEE Trans. Autom. Control..

[81]  Michifumi Yoshioka,et al.  PID Control of Speed and Torque of Electric Vehicle , 2009, 2009 Third International Conference on Advanced Engineering Computing and Applications in Sciences.

[82]  Hong Wang,et al.  Robust control of the output probability density functions for multivariable stochastic systems with guaranteed stability , 1999, IEEE Trans. Autom. Control..

[83]  Guoping Lu,et al.  Robust Observer Design for Lipschitz Nonlinear Discrete-time Systems with Time-delay , 2006, 2006 9th International Conference on Control, Automation, Robotics and Vision.

[84]  Costas Kravaris,et al.  Discrete-time nonlinear observer design using functional equations , 2001 .

[85]  Hong Wang,et al.  Minimum entropy control of closed-loop tracking errors for dynamic stochastic systems , 2003, IEEE Trans. Autom. Control..

[86]  Qi Gong,et al.  A note on global output regulation of nonlinear systems in the output feedback form , 2003, IEEE Trans. Autom. Control..

[87]  Suguru Arimoto,et al.  Bettering operation of Robots by learning , 1984, J. Field Robotics.

[88]  F. Thau.  Observing the state of non-linear dynamic systems† , 1973 .

[89]  Sankar K. Pal,et al.  Entropy: a new definition and its applications , 1991, IEEE Trans. Syst. Man Cybern..

[90]  C. D. Kemp,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[91]  Hong Wang,et al.  Fault detection and diagnosis for general stochastic systems using B-spline expansions and nonlinear filters , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[92]  Greg Welch,et al.  Welch & Bishop , An Introduction to the Kalman Filter 2 1 The Discrete Kalman Filter In 1960 , 1994 .

[93]  Costas Kravaris,et al.  Nonlinear discrete-time observer design with linearizable error dynamics , 2003, IEEE Trans. Autom. Control..

[94]  Anthony J. Hickey,et al.  Evaluation of Probability Density Functions to Approximate Particle Size Distributions of Representative Pharmaceutical Aerosols , 2000 .

[95]  J. Grizzle,et al.  Newton, observers and nonlinear discrete-time control , 1990, 29th IEEE Conference on Decision and Control.

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

[97]  Alfredo Germani,et al.  Observers for discrete-time nonlinear systems , 1993 .

[98]  A. Isidori,et al.  Output regulation of nonlinear systems , 1990 .

[99]  Jie Huang,et al.  Neural network enhanced output regulation in uncertain nonlinear systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[100]  Jie Huang,et al.  Nonlinear Output Regulation: Theory and Applications , 2004 .

[101]  R. Srichander,et al.  Stochastic stability analysis for continuous-time fault tolerant control systems , 1993 .

[102]  David H. Owens,et al.  Iterative learning control - An optimization paradigm , 2015, Annu. Rev. Control..

[103]  Hong Wang,et al.  Modelling and control of the flame temperature distribution using probability density function shaping , 2006 .

[104]  Hong Wang.  Complex Stochastic Systems Modeling and Control via Iterative Machine Learning , 2006 .

[105]  P. Pagilla,et al.  Controller and observer design for Lipschitz nonlinear systems , 2004, Proceedings of the 2004 American Control Conference.

[106]  Jie Huang,et al.  Neural-Network-Based Approximate Output Regulation of Discrete-Time Nonlinear Systems , 2007, IEEE Transactions on Neural Networks.

[107]  C. Kravaris,et al.  Nonlinear observer design using Lyapunov's auxiliary theorem , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

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

[109]  Ritsuko Nagahata,et al.  Control of molecular weight distribution in polycondensation polymers 2. Poly(ether ketone) synthesis , 2005 .

[110]  Lei Guo,et al.  Applying constrained nonlinear generalized PI strategy to PDF tracking control through square root B-spline models , 2004 .

[111]  Zhengtao Ding.  Output regulation of uncertain nonlinear systems with nonlinear exosystems , 2006, IEEE Transactions on Automatic Control.

[112]  MingQing Xiao,et al.  A direct method for the construction of nonlinear discrete-time observer with linearizable error dynamics , 2006, IEEE Transactions on Automatic Control.

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

[114]  Man Liu,et al.  Adaptive output-feedback control for stochastic nonlinear systems with zero dynamics , 2009, 2009 Chinese Control and Decision Conference.

[115]  Brian D. O. Anderson,et al.  Linear Optimal Control , 1971 .

[116]  Rolf Isermann,et al.  Trends in the Application of Model Based Fault Detection and Diagnosis of Technical Processes , 1996 .

[117]  Han-Fu Chen,et al.  Output tracking for nonlinear stochastic systems by iterative learning control , 2004, IEEE Transactions on Automatic Control.

[118]  Hong Wang,et al.  Applying observer based FDI techniques to detect faults in dynamic and bounded stochastic distributions , 2000 .

[119]  W. Rugh,et al.  Stabilization on zero-error manifolds and the nonlinear servomechanism problem , 1992 .

[120]  Anthony M. Bloch,et al.  Nonlinear Dynamical Control Systems (H. Nijmeijer and A. J. van der Schaft) , 1991, SIAM Review.

[121]  Hong Wang,et al.  Suboptimal mean controllers for bounded and dynamic stochastic distributions , 2002 .

[122]  N. M. Filatov,et al.  Adaptive predictive control policy for nonlinear stochastic systems , 1995, IEEE Trans. Autom. Control..

[123]  H. Weiss.  On the structure of the Luenberger observer in discrete-time linear stochastic systems , 1977 .

[124]  Zakwan Skaf,et al.  A comparative study of linear observers applied to a DC servo motor , 2010, Proceedings of the 2010 International Conference on Modelling, Identification and Control.