U-model based design methods for nonlinear control systems a survey of the development in the 1st decade

The Control of nonlinear dynamic systems is a widely recognised challenging issue. The key point in non-linear control system design is a general model prototype with conciseness, flexibility and manipulability while keeping little loss of precision, which is the insight and origin of U-model developed. Sine the U-model is proposed, a new research area has been opened for the nonlinear control system design. This paper surveys the major progression on the nonlinear plant identification, the control system design and the robustness within the U-model domain, and also proposes the possible expansion for the future research work.

[1]  P. Kokotovic,et al.  Nonlinear control via approximate input-output linearization: the ball and beam example , 1992 .

[2]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[3]  M. Shafiq,et al.  A Novel Internal Model Control Scheme for Adaptive Tracking of Nonlinear Dynamic Plants , 2006, 2006 1ST IEEE Conference on Industrial Electronics and Applications.

[4]  M. Shafiq,et al.  An adaptive root-solving controller for tracking of nonlinear dynamic plants , 2005, 2005 International Conference on Industrial Electronics and Control Applications.

[5]  Martin T. Hagan,et al.  Neural network design , 1995 .

[6]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[7]  Louis R. Hunt,et al.  Design for Multi-Input Nonlinear Systems , 1982 .

[8]  C. Kravaris,et al.  Synthesis of multivariable nonlinear controllers by input/output linearization , 1990 .

[9]  Li Wang,et al.  The feedback linearization based on backstepping technique , 2009, 2009 IEEE International Conference on Intelligent Computing and Intelligent Systems.

[10]  Muhammad Shafiq,et al.  U-model based learning feedforward control of MIMO nonlinear systems , 2010 .

[11]  Quanmin Zhu,et al.  Direct design of a U-model-based generalized predictive controller for a class of non-linear (polynomial) dynamic plants , 2012, J. Syst. Control. Eng..

[12]  Pei Hai-long.  Approximate Linearization of Nonlinear Systems A Neural Network Approach , 1998 .

[13]  E. Petlenkov.  NN-ANARX structure based dynamic output feedback linearization for control of nonlinear MIMO systems , 2007, 2007 Mediterranean Conference on Control & Automation.

[14]  Quanmin Zhu,et al.  Neural network enhanced generalised minimum variance self-tuning controller for nonlinear discrete-time systems , 1999 .

[15]  Domine M. W. Leenaerts,et al.  Piecewise Linear Modeling and Analysis , 1998 .

[16]  Hebertt Sira-Ramírez,et al.  ADAPTIVE DYNAMICAL INPUT-OUTPUT LINEARIZATION OF DC TO DC POWER CONVERTERS: A BACKSTEPPING APPROACH , 1997 .

[17]  H. Öktem.  A survey on piecewise-linear models of regulatory dynamical systems , 2005 .

[18]  T. P. Leung,et al.  Approximate linearization of nonlinear systems: a neural network approach , 1996, Proceedings of the 1996 IEEE International Symposium on Intelligent Control.

[19]  Muhammad Shafiq,et al.  Learning feedforward control of MIMO nonlinear systems using U-model , 2007 .

[20]  S. Marcus,et al.  On input-output linearization of discrete-time nonlinear systems , 1987 .

[21]  Muhammad Shafiq,et al.  Real-time adaptive tracking of DC motor speed using U-model based IMC , 2007, Automatic Control and Computer Sciences.

[22]  Quanmin Zhu,et al.  A pole placement controller for non-linear dynamic plants , 2002 .

[23]  Weijun Wang,et al.  Radial basis functions neural network of vary learning rate based stochastic U-model , 2011, 2011 International Conference on Electrical and Control Engineering.

[24]  K. Warwick,et al.  Adaptive general predictive controller for nonlinear systems , 1991 .

[25]  Mohammad Shahrokhi,et al.  Comparison between backstepping and input-output linearization techniques for pH process control , 2012 .

[26]  Muhammad Shafiq,et al.  U-Model-Based Internal Model Control for Non-Linear Dynamic Plants , 2005 .

[27]  W. Haddad,et al.  Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach , 2008 .