Fuzzy model-based servo control for discrete-time nonlinear systems

This paper presents servo control for discrete-time nonlinear systems using the switching fuzzy model-based control approach. We propose the construction method of augmented switching fuzzy servo control system for discrete- time nonlinear systems. Then we introduce the switching fuzzy servo controller which can make outputs of the nonlinear systems converge to target points, and derive the controller design conditions in terms of LMIs. A design example illustrates the utility of this approach.

[1]  E. Davison,et al.  Design of industrial regulators. Integral feedback and feedforward control , 1972 .

[2]  Kazuo Tanaka,et al.  Fuzzy model-based servo control for nonlinear systems with input constraint , 2009, 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC).

[3]  Kazuo Tanaka,et al.  Fuzzy modeling via sector nonlinearity concept , 2001, Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569).

[4]  Mikael Johansson,et al.  On modeling, analysis and design of piecewise linear control systems , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[5]  Kazuo Tanaka,et al.  Fuzzy control systems design and analysis , 2001 .

[6]  Reza Langari,et al.  Robust fuzzy control of a magnetic bearing system subject to harmonic disturbances , 1997, IEEE Trans. Control. Syst. Technol..

[7]  Kazuo Tanaka,et al.  Stability analysis and design of fuzzy control systems , 1992 .

[8]  M. Johansson,et al.  Piecewise Linear Control Systems , 2003 .

[9]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[10]  Kazuo Tanaka,et al.  Switching fuzzy controller design based on switching Lyapunov function for a class of nonlinear systems , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[11]  H.O. Wang,et al.  Switching fuzzy model construction and controller design with arbitrary switching planes , 2006, 2006 American Control Conference.

[12]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

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