Approximation-based control of nonlinear MIMO time-delay systems

Automatica

Volumn 43, Issue 1, 2007, Pages 31-43

  Ge, S S ^a   Tee, K P ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Adaptive neural control; Lyapunov Krasovskii functional; Nonlinear MIMO system; Uncertain time delay systems

Indexed keywords

APPROXIMATION THEORY; CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; LYAPUNOV METHODS; NEURAL NETWORKS; NONLINEAR SYSTEMS;

ADAPTIVE NEURAL CONTROL; LYAPUNOV-KRASOVSKII FUNCTIONAL; NONLINEAR MIMO SYSTEM; UNCERTAIN TIME-DELAY SYSTEMS;

DELAY CIRCUITS;

EID: 33751235230     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.08.003     Document Type: Article

References (25)

1. Chou C., and Cheng C. A decentralized model reference adaptive variable structure controller for large-scale time-varying delay systems. IEEE Transactions on Automatic Control 48 7 (2002) 1213-1217
2. Dugard, L., & Verriest, E. I. (1998). Stability and control of time-delay systems. Lecture notes in control and information sciences (Vol. 228). London: Springer.
3. Ge S.S., Hang C.C., and Zhang T. Stable adaptive control of nonlinear multivariable systems with triangular control structure. IEEE Transactions on Automatic Control 45 (2000) 1221-1225
4. Ge S.S., Hong F., and Lee T.H. Adaptive neural network control of nonlinear systems with unknown time delays. IEEE Transactions on Automatic Control 48 (2003) 2004-2010
5. Ge S.S., Hong F., and Lee T.H. Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients. IEEE Transactions on System, Man, and Cybernetics 34 (2004) 499-516
6. Ge S.S., and Wang C. Adaptive neural control of uncertain MIMO nonlinear systems. IEEE Transactions on Neural Networks 15 3 (2004) 674-692
7. Gu K., Kharitonov V.L., and Chen J. Stability of time-delay systems (2003), Birkhauser, Boston
8. Hale J.K. Theory of functional differential equations (1977), Springer, Berlin
9. Hsu L., and Costa R. Bursting phenomenon in continuous-time adaptive control systems with σ-modification. IEEE Transactions on Automatic Control 32 (1987) 84-86
10. Jankovic M. Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems. IEEE Transactions on Automatic Control 46 7 (2001) 1048-1060
11. Kharitonov V.L., and Melchor-Aguilar D. Lyapunov-Krasovskii functionals for additional dynamics. International Journal of Robust Nonlinear Control 13 (2003) 793-804
12. Kolmanovskii, V. B., & Myshkis, A., 1992. Applied theory of functional differential equations (Vol. 85). Dordrecht: Kluwer Academic Publisher.
13. Kolmanovskii, V. B., Niculescu, S., & Gu, K. (1999). Delay effects on stability: A survey. Proceedings of 38th CDC (Vol. 2), pp. 1993-1998.
14. Kolmanovskii V.B., and Richard J. Stability of some linear systems with delays. IEEE Transactions on Automatic Control 44 5 (1999) 984-989
15. Lin W., and Qian C.J. Adaptive control of nonlinearly parameterized systems: The smooth feedback case. IEEE Transactions on Automatic Control 47 (2002) 1249-1266
16. Nguang S.K. Robust stabilization of a class of time-delay nonlinear systems. IEEE Transactions on Automatic Control 45 (2000) 756-762
17. Niculescu S. Delay effects on stability: A robust control approach (2001), Springer, London, UK
18. Palmor Z.J., and Halevi Y. On the design and properties of multivariable dead time compensators. Automatica 19 3 (1983) 255-264
19. Sanner R.M., and Slotine J.E. Gaussian networks for direct adaptive control. IEEE Transactions on Neural Networks 3 6 (1992) 837-863
20. Sun Y., Hsieh J., and Yang H. On the stability of uncertain systems with multiple time-varying delays. IEEE Transactions on Automatic Control 42 1 (1997) 101-105
21. Wang W., and Mau L. Stabilization and estimation for perturbed discrete time-delay large-scale systems. IEEE Transactions on Automatic Control 42 9 (1997) 1277-1282
22. Wu H. Adaptive stabilizing state feedback controllers of uncertain dynamical systems with multiple time delays. IEEE Transactions on Automatic Control 45 9 (2000) 1697-1701
23. Wu H. Decentralized adaptive robust control for a class of large-scale systems including delayed state perturbations in the interconnections. IEEE Transactions on Automatic Control 47 10 (2002) 1745-1751
24. Xu B., and Liu Y. An improved Razumikhin-type theorem and its applications. IEEE Transactions on Automatic Control 39 4 (1994) 839-841
25. Zhou S., Feng G., and Nguang S.K. Comments on robust stabilization of a class of time-delay nonlinear systems. IEEE Transactions on Automatic Control 47 9 (2002) 1586