Iterative learning control of strict-feedback nonlinear time-varying systems

Zidonghua Xuebao/ Acta Automatica Sinica

Volumn 36, Issue 3, 2010, Pages 454-458

  Zhu, Sheng ^a   Sun, Ming Xuan ^a   He, Xiong Xiong ^a  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Backstepping; Iterative learning control (ILC); Lyapunov like; Time varying systems

Indexed keywords

BACKSTEPPING DESIGN TECHNIQUE; CONTROL VARIABLE; CONTROLLER DESIGNS; DIFFERENTIABILITY; HYPERBOLIC TANGENT FUNCTION; ITERATIVE LEARNING CONTROL; ITERATIVE LEARNING CONTROLLER; LEARNING CONTROLLERS; LIPSCHITZ NONLINEARITIES; LYAPUNOV; NONLINEAR TIME VARYING SYSTEMS; STRICT-FEEDBACK NONLINEAR SYSTEMS; SYSTEM DYNAMICS; TIME INTERVAL; TIME VARYING PARAMETER; TIME VARYING UNCERTAINTIES;

BACKSTEPPING; HYPERBOLIC FUNCTIONS; LEARNING ALGORITHMS; NONLINEAR FEEDBACK; SYNTHESIS (CHEMICAL); TIME VARYING SYSTEMS; TWO TERM CONTROL SYSTEMS;

CONTROLLERS;

EID: 77951935009     PISSN: 02544156     EISSN: None     Source Type: Journal    
DOI: 10.3724/SP.J.1004.2010.00454     Document Type: Article

References (15)

1. Arimoto S, Kawamura S, Miyazaki F. Bettering operation of robotics by learning. Journal of Robotic Systems, 1984, 1(2): 123-140.
2. Krstic M, Kanellakopoulos I, Kokotovic P V. Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
3. Marino R, Tomei P. Nonlinear Control Design-Geometric, Adaptive, and Robust. London: Prentice Hall, 1995.
4. Xu J X, Tan Y. A composite energy function-based learning control approach for nonlinear systems with time-varying parametric uncertainties. IEEE Transactions on Automatic Control, 2002, 47(11): 1940-1945.
5. French M, Rogers E. Nonlinear iterative learning by an adaptive Lyapunov technique. International Journal of Control, 2000, 73(10): 840-850.
6. Marino R, Tomei P. An iterative learning control for a class of partial feedback linearizable systems. IEEE Transactions on Automatic Control, 2009, 54(8): 1991-1996.
7. Sun M X, Ge S S, Marreels I M Y. Adaptive repetitive learning control of robotic manipulators without the requirement for initial repositioning. IEEE Transactions on Robotics, 2006, 22(3): 563-568.
8. Sun M X, Ge S S. Adaptive repetive control for a class of non-linearly parametrized systems. IEEE Transactions on Automatic Control, 2006, 51(10): 1684-1688.
9. Sun Ming-Xuan, Wang Dan-Wei, Chen Peng-Nian. Repetitive learning control of non-linear systems over finite intervals. Science in China: Series F, 2010, 53(1): 115-128.
10. Tanner H G, Kyriakopoulos K J. Backstepping for nons-mooth systems. Automatica, 2003, 39(7): 1259-1265.
11. Jiang Z P, Praly L. Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties. Automatica, 1998, 34(7): 825-840.
12. Polycarpou M M, Ioannou P A. A robust adaptive nonlinear control design. Automatica, 1996, 32(3): 423-427.
13. Liuzzo S, Tomei P. A global adaptive learning control for robotic manipulators. Automatica, 2008, 44(5): 1379-1384.
14. Liuzzo S, Marino R, Tomei P. Adaptive learning control of linear systems by output error feedback. Automatica, 2007, 43(4): 669-676.
15. Pagilla P R, Zhu Y L. Adaptive control of mechanical systems with time-varying parameters and disturbances. Journal of Dynamic Systems, Measurement, and Control, 2004, 126(3): 520-530.