Adaptive control of a class of discrete-time MIMO nonlinear systems with uncertain couplings

International Journal of Control

Volumn 83, Issue 10, 2010, Pages 2120-2133

  Yang, Chenguang ^a   Li, Yanan ^b   Ge, Shuzhi Sam ^c,d   Lee, Tong Heng ^d  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^d NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

adaptive control; couplings; MIMO discrete time systems

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE CONTROL DESIGNS; AUXILIARY OUTPUT; COMPENSATION MECHANISM; DISCRETE TIME SYSTEM; DISCRETE-TIME; MIMO NONLINEAR SYSTEMS; MULTI-INPUT MULTI-OUTPUT; NONLINEAR COUPLING; OUTPUT-TRACKING; SIMULATION STUDIES;

ADAPTIVE CONTROL SYSTEMS; CONTROL THEORY; COUPLINGS; DIGITAL CONTROL SYSTEMS; LYAPUNOV METHODS; NONLINEAR SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 77957167019     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179.2010.508092     Document Type: Article

References (21)

1. Chen, X.K. (2006), 'Adaptive Sliding Mode Control for Discrete-time Multi-input Multi-output Systems', Automatica, 42, 427-435.
2. Chen, W., and Li, J. (2008), 'Decentralized Output-feedback Neural Control for Systems with Unknown Interconnections', IEEE Transactions on Systems, Man and Cybernetics - Part B: Cybernetics, 38, 258-266.
3. Chen, W., and Li, J. (2010), 'Globally Decentralized Adaptive Backstepping Neural Network Tracking Control for Unknown Nonlinear Interconnected Systems', Asian Journal of Control, 12, 96-102.
4. Chen, L.J., and Narendra, K.S. (2001), 'Nonlinear Adaptive Control using Neural Networks and Multiple Models', Automatica, 37, 1245-1255.
5. Corradini, M.L., and Orlando, G. (1997), 'A Discrete Adaptive Variable-Structure Controller for MIMO Systems, and Its Application to an Underwater ROV', IEEE Transactions on Control Systems Technology, 5, 349-359.
6. Ge, S.S., Hang, C.C., and Zhang, T. (2000), 'Stable Adaptive Control for Nonlinear Multivariable Systems with a Triangular Control Structure', IEEE Transactions on Automatic Control, 45, 1221-1225.
7. Ge, S.S., and Wang, C. (2004), 'Adaptive Neural Control of Uncertain MIMO Nonlinear Systems', IEEE Transactions on Neural Networks, 15, 674-692.
8. Ge, S.S., Yang, C., Dai, S.-L., Jiao, Z.X., and Lee, T.H. (2009), 'Robust Adaptive Control of a Class of Nonlinear Strict-feedback Discrete-time Systems with Exact Output Tracking', Automatica, 45, 2537-2545.
9. Ge, S.S., Yang, C., and Lee, T.H. (2008), 'Adaptive Robust Control of a Class of Nonlinear Strict-feedback Discrete-time Systems with Unknown Control Directions', Systems and Control Letters, 57, 888-895.
10. Ge, S.S., Zhang, J., and Lee, T.H. (2004), 'Adaptive Neural Networks Control for a Class of MIMO Nonlinear Systems with Disturbances in Discrete-time', IEEE Transactions on System, Man and Cybernetics, Part B: Cybernetics, 34, 1630-1645.
11. Goodwin, G.C., and Sin, K.S. (1984), Adaptive Filtering Prediction and Control, Englewood Cliffs, NJ: Prentice-Hall.
12. Kharitonov, V., and Melchor-Aguilar, D. (2003), 'Lyapunov-Krasovskii Functionals for Additional Dynamics', International Journal of Robust and Nonlinear Control, 13, 793-804.
13. Kolmanovskii, V.B., and Myshkis, A. (1992), Applied Theory of Functional Differential Equations (Vol. 85), Dordrecht: Kluwer Academic Publisher.
14. Krstic, M., Kanellakopoulos, I., and Kokotovic, P.V. (1995), Nonlinear and Adaptive Control Design, New York: Wiley and Sons.
15. Li, J., Chen, W., and Li, J.-M. (2010), 'Adaptive nn Outputfeedback Decentralized Stabilization for a Class of Large-scale Stochastic Nonlinear Strict-feedback Systems', International Journal of Robust and Nonlinear Control, 36, 450-453.
16. Lin, W., and Qian, C.J. (2001), 'Semi-global Robust Stabilization of Mimo Nonlinear Systems by Partial State and Dynamic Output Feedback', Automatica, 37, 1093-1101.
17. Ossaman, K.A., and Kamen, E.W. (1987), 'Adaptive Regulation of Mimo Linear Discrete-time Systems Without Requiring a Persistent Excitation', IEEE Transactions on Automatic Control, 32, 397-404.
18. Schwartz, B., Isidori, A., and Tarn, T.J. (1999), 'Global Normal Forms for Mimo Nonlinear Systems, with Applications to Stabilization and Disturbance Attenuation', Mathematic Control Signals System, 12, 121-142.
19. Song, Y., and Grizzle, J.W. (1993), 'Adaptive Outputfeedback Control of a Class of Discrete-time Nonlinear Systems', in Proceedings of American Control Conference, pp. 1359-1364.
20. Xie, L.L., and Guo, L. (2000), 'How much Uncertainty can be Dealt with by Feedback?', IEEE Transactions on Automatic Control, 45, 2203-2217.
21. Yao, B., and Tomizuka, M. (2001), 'Adaptive Robust Control of MIMO Nonlinear Systems in Semi-strict Feedback Forms', Automatica, 37, 1305-1321. (Pubitemid 32691027)