Dynamic output feedback control of gas furnaces via fuzzy modeling

The paper addresses the control problem of complex plants, using state space realizations derived from Takagi-Sugeno fuzzy models. In particular, a state feedback controller, based on the estimated state information, is proposed for the regulation of gas furnaces. The method described comprises procedures to design a converging state estimator and a stabilizing controller respectively. It is shown that if the estimator and controller gains satisfy an additional sufficient condition then the observer-based closed loop is stable. Simulation studies on the fuzzy model of the gas furnace process verify the result.

[1]  Kazuo Tanaka,et al.  A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer , 1994, IEEE Trans. Fuzzy Syst..

[2]  Frank L. Lewis,et al.  Adaptive tuning of fuzzy logic identifier for unknown non-linear systems , 1994 .

[3]  Kazuo Tanaka,et al.  Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H∞ control theory, and linear matrix inequalities , 1996, IEEE Trans. Fuzzy Syst..

[4]  T. Johansen,et al.  Constructing NARMAX models using ARMAX models , 1993 .

[5]  Arthur E. Bryson,et al.  Control of spacecraft and aircraft , 1994 .

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

[7]  Michio Sugeno,et al.  A fuzzy-logic-based approach to qualitative modeling , 1993, IEEE Trans. Fuzzy Syst..

[8]  Gang Feng,et al.  Analysis and design of fuzzy control systems using dynamic fuzzy global models , 1995, Fuzzy Sets Syst..

[9]  K. Kiriakidis,et al.  Implicit self-tuning fuzzy control for nonlinear systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[10]  M. Sugeno,et al.  Fuzzy modeling and control of multilayer incinerator , 1986 .

[11]  Anthony Tzes,et al.  Quadratic stability analysis of the Takagi-Sugeno fuzzy model , 1998, Fuzzy Sets Syst..

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

[13]  L X Wang,et al.  Fuzzy basis functions, universal approximation, and orthogonal least-squares learning , 1992, IEEE Trans. Neural Networks.

[14]  Tor Arne Johansen,et al.  Fuzzy model based control: stability, robustness, and performance issues , 1994, IEEE Trans. Fuzzy Syst..

[15]  M. Sugeno,et al.  Structure identification of fuzzy model , 1988 .

[16]  N. W. Rees,et al.  Identification of dynamic fuzzy models , 1995, Fuzzy Sets Syst..

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

[18]  N. W. Rees,et al.  Stability analysis of fuzzy control systems , 1994, Proceedings of ANZIIS '94 - Australian New Zealnd Intelligent Information Systems Conference.