Direct adaptive control and robust analysis for unknown multivariable nonlinear systems with fuzzy logic systems

In this paper, we are dealing with the problem of controlling an unknown nonlinear dynamical system modeled by fuzzy logic systems. In the ideal case of complete model matching, convergence of the state to zero plus boundedness of all signals in the closed loop system is ensured. Moreover, the robustness of the controller designed in the ideal case is given in the framework of singular perturbation theory.

[1]  Madan M. Gupta,et al.  Energetistic stability of fuzzy dynamic systems , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[2]  David G. Taylor,et al.  Adaptive Regulation of Nonlinear Systems with Unmodeled Dynamics , 1988, 1988 American Control Conference.

[3]  N. Rouche,et al.  Stability Theory by Liapunov's Direct Method , 1977 .

[4]  A. Isidori,et al.  Adaptive control of linearizable systems , 1989 .

[5]  R. Marino,et al.  Global adaptive output-feedback control of nonlinear systems. I. Linear parameterization , 1993, IEEE Trans. Autom. Control..

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

[7]  Riccardo Marino,et al.  An extended direct scheme for robust adaptive nonlinear control , 1991, Autom..

[8]  Z. Yeh A performance approach to fuzzy control design for nonlinear systems , 1994 .

[9]  I. Kanellakopoulos,et al.  Systematic Design of Adaptive Controllers for Feedback Linearizable Systems , 1991, 1991 American Control Conference.

[10]  Arjan van der Schaft,et al.  Non-linear dynamical control systems , 1990 .

[11]  Petros A. Ioannou,et al.  An asymptotic error analysis of identifiers and adaptive observers in the presence of parasitics , 1982 .

[12]  M. Griffin,et al.  An analytical framework of fuzzy modeling and control of nonlinear systems: stability and design issues , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[13]  Guang-Chyan Hwang,et al.  A stability approach to fuzzy control design for nonlinear systems , 1992 .

[14]  Li-Xin Wang Stable adaptive fuzzy control of nonlinear systems , 1993, IEEE Trans. Fuzzy Syst..

[15]  Petros A. Ioannou,et al.  Adaptive Systems with Reduced Models , 1983 .

[16]  Chuen-Chien Lee FUZZY LOGIC CONTROL SYSTEMS: FUZZY LOGIC CONTROLLER - PART I , 1990 .

[17]  Li-Xin Wang Design and analysis of fuzzy identifiers of nonlinear dynamic systems , 1995, IEEE Trans. Autom. Control..