Observer-based Exponential Stability for Time-varying Delay Switched Fuzzy System with Unmeasurable Premise Variables

The exponential stability of the system under the unmeasurable premise variables is proposed. The corresponding controller design of the system is investigated. By using the Multiple Function method, the sufficient conditions for the exponential stability of the closed loop system are studied, and the corresponding design scheme of the switching law is given. The switching strategy satisfies the energy attenuation of the subsystem of the switching time delay fuzzy system in the switching time. Finally, the simulation results show the correctness and effectiveness of the research conclusions.

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

[2]  Shaocheng Tong,et al.  Fuzzy robust tracking control for uncertain nonlinear systems , 2002, Int. J. Approx. Reason..

[3]  Jun Zhao,et al.  Backstepping Robust H ∞ Control for a Class of Uncertain Switched Nonlinear Systems Under Arbitrary Switchings , 2013 .

[4]  A. Michel,et al.  Stability theory for hybrid dynamical systems , 1998, IEEE Trans. Autom. Control..

[5]  Kazuo Tanaka,et al.  Design of a stable fuzzy controller for an articulated vehicle , 1997, IEEE Trans. Syst. Man Cybern. Part B.

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

[7]  S. Ge,et al.  Stability Theory of Switched Dynamical Systems , 2011 .

[8]  Kazuo Tanaka,et al.  Switching control of an R/C hovercraft: stabilization and smooth switching , 2001, IEEE Trans. Syst. Man Cybern. Part B.

[9]  S. Shankar Sastry,et al.  Conflict resolution for air traffic management: a study in multiagent hybrid systems , 1998, IEEE Trans. Autom. Control..

[10]  Zengqi Sun,et al.  Analysis and design of fuzzy controller and fuzzy observer , 1998, IEEE Trans. Fuzzy Syst..

[11]  Ruiyun Qi,et al.  Adaptive control of discrete-time state-space T-S fuzzy systems , 2011, Proceedings of the 30th Chinese Control Conference.

[12]  Kazuo Tanaka,et al.  Trajectory stabilization of a model car via fuzzy control , 1995 .

[13]  Pravin Varaiya,et al.  Smart cars on smart roads: problems of control , 1991, IEEE Trans. Autom. Control..

[14]  Y. Chen,et al.  Stability analysis for a class of switched nonlinear systems , 2011, Autom..

[15]  Masayoshi Tomizuka,et al.  Learning hybrid force and position control of robot manipulators , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[16]  Kunping Zhu.  Stability Analysis and Stabilization of Fuzzy State Space Models , 2006 .

[17]  Georgi M. Dimirovski,et al.  Feedback passivation of switched nonlinear systems using storage-like functions , 2011 .

[18]  H. Witsenhausen.  A class of hybrid-state continuous-time dynamic systems , 1966 .

[19]  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..

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

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