State observer-based adaptive fuzzy output-feedback control for a class of uncertain nonlinear systems

This paper aims to develop state observer-based adaptive fuzzy control techniques for controlling a class of uncertain nonlinear systems with bounded external disturbances. An adaptive fuzzy observer is proposed to estimate the system state variables. It is shown that the observation errors obtained from the observer are uniformly ultimately bounded. Applying the estimated system state for design of an output-feedback controller, the uniformly ultimate boundedness of the tracking errors for the resulting closed-loop system can be guaranteed. A typical robot arm system is employed in our simulation studies, and the results demonstrate the usefulness and effectiveness of the proposed techniques for controlling nonlinear systems with bounded external disturbances.

[1]  Tianyou Chai,et al.  Modeling and control compensation of nonlinear friction using adaptive fuzzy systems , 2009 .

[2]  Wei Wang,et al.  ROBUST ADAPTIVE FUZZY CONTROL FOR A CLASS OF NONLINEAR INTERCONNECTED SYSTEMS , 2009 .

[3]  Ismet Erkmen,et al.  Two-way fuzzy adaptive identification and control of a flexible-joint robot arm , 2002, Inf. Sci..

[4]  Xue Xiao Output feedback control of nonlinear systems , 2008 .

[5]  Chun-Yi Su,et al.  Adaptive control of a class of nonlinear systems with fuzzy logic , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[6]  Yan-Jun Liu,et al.  Adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems , 2007, Inf. Sci..

[7]  K. Narendra,et al.  Frequency Domain Criteria for Absolute Stability , 1973 .

[8]  Yih-Guang Leu,et al.  Observer-based direct adaptive fuzzy-neural control for nonaffine nonlinear systems , 2005, IEEE Trans. Neural Networks.

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

[10]  Frank L. Lewis,et al.  A dynamic recurrent neural-network-based adaptive observer for a class of nonlinear systems , 1997, Autom..

[11]  Shaocheng Tong,et al.  A hybrid adaptive fuzzy control for a class of nonlinear MIMO systems , 2003, IEEE Trans. Fuzzy Syst..

[12]  Tianyou Chai,et al.  Output-feedback control of uncertain nonlinear systems using adaptive fuzzy observer , 2005, Proceedings of the 2005, American Control Conference, 2005..

[13]  Shaocheng Tong,et al.  Comments on "Direct adaptive fuzzy-neural control with state observer and supervisory controller for unknown nonlinear dynamical systems" , 2003, IEEE Trans. Fuzzy Syst..

[14]  Jun-min Hu,et al.  Fuzzy adaptive control for a class of nonlinear systems , 2009, 2009 Chinese Control and Decision Conference.

[15]  Wen Yu,et al.  A high-gain observer-based PD control for robot manipulator , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[16]  Indra Narayan Kar,et al.  Adaptive control of robot manipulators using fuzzy logic systems under actuator constraints , 2005, Fuzzy Sets Syst..

[17]  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.

[18]  Yih-Guang Leu,et al.  Observer-based adaptive fuzzy-neural control for unknown nonlinear dynamical systems , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[19]  Chen Bin,et al.  Fuzzy adaptive output feedback control for MIMO nonlinear systems , 2005, Fuzzy Sets Syst..

[20]  Karl Johan Åström,et al.  Theory and Applications of Adaptive Control , 1981 .

[21]  Tsung-Chih Lin,et al.  Observer-based indirect adaptive fuzzy-neural tracking control for nonlinear SISO systems using VSS and H[infin] approaches , 2004, Fuzzy Sets Syst..

[22]  Jang-Hyun Park,et al.  Output-feedback control of uncertain nonlinear systems using a self-structuring adaptive fuzzy observer , 2005, Fuzzy Sets Syst..

[23]  Shaocheng Tong,et al.  Fuzzy direct adaptive control for a class of nonlinear systems , 1999, Fuzzy Sets Syst..

[24]  Euntai Kim,et al.  Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems , 2006 .

[25]  Abdesselem Boulkroune,et al.  How to design a fuzzy adaptive controller based on observers for uncertain affine nonlinear systems , 2008, Fuzzy Sets Syst..

[26]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .

[27]  Tsung-Chih Lin,et al.  Direct adaptive fuzzy-neural control with state observer and supervisory controller for unknown nonlinear dynamical systems , 2002, IEEE Trans. Fuzzy Syst..

[28]  Shaocheng Tong,et al.  Observer-based adaptive fuzzy control for SISO nonlinear systems , 2004, Fuzzy Sets Syst..

[29]  Yih-Guang Leu,et al.  An online GA-based output-feedback direct adaptive fuzzy-neural controller for uncertain nonlinear systems , 2004, IEEE Trans. Syst. Man Cybern. Part B.

[30]  Yih-Guang Leu,et al.  Output-feedback control of nonlinear systems using direct adaptive fuzzy-neural controller , 2003, Fuzzy Sets Syst..

[31]  Karl Johan Åström,et al.  Theory and applications of adaptive control - A survey , 1983, Autom..

[32]  Bing Chen,et al.  Direct adaptive fuzzy control for nonlinear systems with time-varying delays , 2010, Inf. Sci..

[33]  Tieniu Tan,et al.  A survey on visual surveillance of object motion and behaviors , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[34]  Reinaldo M. Palhares,et al.  A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems , 2009, Inf. Sci..

[35]  Yan Shi,et al.  FUZZY INFERENCE MODELING BASED ON FUZZY SINGLETON-TYPE REASONING , 2007 .

[36]  Abdelaziz Hamzaoui,et al.  State observer based robust adaptive fuzzy controller for nonlinear uncertain and perturbed systems , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[37]  H. Yousef,et al.  Adaptive Fuzzy Decentralized Control for a Class of Large-Scale Nonlinear Systems with MIMO Subsystems , 2006, 2006 International Conference on Computer Engineering and Systems.

[38]  R. Kálmán LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL. , 1963, Proceedings of the National Academy of Sciences of the United States of America.

[39]  Riccardo Marino,et al.  Robust adaptive observers for nonlinear systems with bounded disturbances , 2001, IEEE Trans. Autom. Control..

[40]  Amar Goléa,et al.  Stable indirect fuzzy adaptive control , 2003, Fuzzy Sets Syst..

[41]  T. Başar Absolute Stability of Nonlinear Systems of Automatic Control , 2001 .