Robust adaptive fuzzy control for permanent magnet synchronous servomotor drives

A novel robust adaptive fuzzy control (RAFC) algorithm for the permanent magnet (PM) synchronous servomotor drives with uncertain nonlinearities and time‐varying uncertainties is presented in this article. Takagi–Sugeno‐type fuzzy logic systems are used to approximate uncertain functions. The RAFC algorithm is designed by use of the input‐to‐state stability (ISS) approach and small gain theorem. The closed‐loop system is proven to be semiglobally uniformly ultimately bounded. In addition, the possible controller singularity problem in some of the existing adaptive control schemes met with feedback linearization techniques can be removed and the adaptive mechanism with only one learning parameterization can be achieved. The proposed methodology is applied to design the position control of the PM synchronous servomotor drives. Simulation results show the effectiveness of the proposed control scheme. © 2005 Wiley Periodicals, Inc. Int J Int Syst 20: 153–171, 2005.

[1]  Eduardo D. Sontag,et al.  On the Input-to-State Stability Property , 1995, Eur. J. Control.

[2]  Eduardo Sontag Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.

[3]  Fuzzy Logic in Control Systems : Fuzzy Logic , 2022 .

[4]  Kurt Fischle,et al.  An improved stable adaptive fuzzy control method , 1999, IEEE Trans. Fuzzy Syst..

[5]  Li-Xin Wang,et al.  Stable adaptive fuzzy control of nonlinear systems , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

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

[7]  Y. Stepanenko,et al.  Adaptive control of a class of nonlinear systems with fuzzy logic , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[8]  Zhong-Ping Jiang,et al.  Small-gain theorem for ISS systems and applications , 1994, Math. Control. Signals Syst..

[9]  Changjiu Zhou,et al.  Robust adaptive fuzzy control and its application to ship roll stabilization , 2002, Inf. Sci..

[10]  Eduardo Sontag,et al.  On Characterizations of Input-to-State Stability with Respect to Compact Sets , 1995 .

[11]  Hao Ying,et al.  Sufficient conditions on general fuzzy systems as function approximators , 1994, Autom..

[12]  W. Leonhard,et al.  Microcomputer control of high dynamic performance ac-drives - A survey , 1986, Autom..

[13]  Eduardo Sontag Further facts about input to state stabilization , 1990 .

[14]  Kevin M. Passino,et al.  Stable adaptive control using fuzzy systems and neural networks , 1996, IEEE Trans. Fuzzy Syst..

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

[16]  Junsheng Ren,et al.  Adaptive fuzzy robust tracking controller design via small gain approach and its application , 2003, IEEE Trans. Fuzzy Syst..

[17]  Changjiu Zhou,et al.  Model reference adaptive robust fuzzy control for ship steering autopilot with uncertain nonlinear systems , 2003, Appl. Soft Comput..

[18]  L. Wang,et al.  Fuzzy systems are universal approximators , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

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

[20]  Murat Arcak,et al.  Constructive nonlinear control: a historical perspective , 2001, Autom..

[21]  Li-Xin Wang,et al.  A Course In Fuzzy Systems and Control , 1996 .