A design of uncertainty trajectory observer for a class of T-S fuzzy models

When using the T-S fuzzy model to design a controller in a control system, the control performance depends, sometimes largely, on the way that copes with the gap between the T-S fuzzy model and the system concerned. The gap is viewed as uncertainty in the T-S fuzzy model in this paper. While it is difficult to estimate the uncertainty itself, the paper presents a unique observer that is able to effectively track the uncertainty trajectory, which can be further used in controller design in an effort to improve the control performance. Also, example is provided to demonstrate the effectiveness of the approach proposed.

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

[2]  Hak-Keung Lam,et al.  Polynomial Controller Design Using Disturbance Observer , 2015, J. Adv. Comput. Intell. Intell. Informatics.

[3]  Hugang Han An observer‐based controller for a class of polynomial fuzzy systems with disturbance , 2016 .

[4]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[5]  Lihua Xie,et al.  H∞ analysis and synthesis of discrete-time systems with time-varying uncertainty , 1993, IEEE Trans. Autom. Control..

[6]  Shigeyasu Kawaji,et al.  Full order observer for linear descriptor systems with unknown-inputs , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[7]  Stefen Hui,et al.  Sliding-mode observers for systems with unknown inputs: A high-gain approach , 2010, Autom..

[8]  M. Darouach,et al.  Full-order observers for linear systems with unknown inputs , 1994, IEEE Trans. Autom. Control..

[9]  P. Müller,et al.  State estimation of dynamical systems with nonlinearities by using proportional-integral observer , 1995 .

[10]  Tong Heng Lee,et al.  HinftyOutput Tracking Control for Nonlinear Systems via T-S Fuzzy Model Approach , 2006, IEEE Trans. Syst. Man Cybern. Part B.

[11]  Hugang Han,et al.  Controller Designs for a Class of Polynomial Fuzzy Models , 2015, J. Adv. Comput. Intell. Intell. Informatics.

[12]  Hugang Han Member,et al.  A design of T–S fuzzy controller with disturbance observer , 2015 .

[13]  Hugang Han Member,et al.  Polynomial fuzzy controller design with disturbance observer using the SOS-based approach , 2015 .

[14]  Xinghuo Yu,et al.  Sliding-mode control for systems with mismatched uncertainties via a disturbance observer , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

[15]  Hugang Han,et al.  A design of T–S fuzzy controller with disturbance observer , 2016 .