Adaptive dynamic inversion via time-scale separation

IEEE Transactions on Neural Networks

Volumn 19, Issue 10, 2008, Pages 1702-1711

  Hovakimyan, Naira ^a   Lavretsky, Eugene ^b   Cao, Chengyu ^c  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b BOEING COMPANY   (United States)

^c UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Adaptive control; Nonaffine systems; Time scale separation; Ultimate boundedness

Indexed keywords

CONTROL NONLINEARITIES; CONTROL SYSTEMS; DC GENERATORS; DYNAMICS; ERRORS; FEEDBACK; ISOMERS; MISSILES; NONLINEAR SYSTEMS; SEPARATION; STATE FEEDBACK;

ADAPTIVE CONTROL; ADAPTIVE DYNAMICS; ADAPTIVE LAWS; BASIS FUNCTIONS; BOUNDED ERRORS; CONTROL INPUTS; CONTROLLER DYNAMICS; DESIGN METHODS; DYNAMICAL EQUATIONS; LYAPUNOV; MONOTONIC PROPERTIES; NONAFFINE SYSTEMS; NONLINEAR CONTROLS; REFERENCE MODELS; SYSTEM NONLINEARITIES; SYSTEM STATES; TIME-SCALE SEPARATION; TIME-SCALE SEPARATIONS; ULTIMATE BOUNDEDNESS; VAN DER POLS;

ADAPTIVE CONTROL SYSTEMS;

ALGORITHM; ARTICLE; COMPUTER SIMULATION; FEEDBACK SYSTEM; MATHEMATICAL COMPUTING; THEORETICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; FEEDBACK; MODELS, THEORETICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED;

EID: 54349110791     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2008.2001221     Document Type: Article

References (26)

1. A. J. Calise and R. T. Rysdyk, "Nonlinear adaptive flight control using neural networks," IEEE Control Syst. Mag., vol. 18, no. 6, pp. 14-25, Dec. 1998.
2. A. J. Calise, N. Hovakimyan, and M. Idan, "Adaptive output feedback control of nonlinear systems using neural networks," Automatica, vol. 37, no. 8, pp. 1201-1211, 2001.
3. L. Chen, J. Bošković, and R. Mehra, "Adaptive control design for non-affine models arising in flight control," J. Guid. Control Dyn. vol. 27, no. 2, pp. 209-217, 2004.
4. S. Devasia, C. Degang, and B. Paden, "Nonlinear inversion-based output tracking," IEEE Trans. Autom. Control, vol. 41, no. 7, pp. 930-942, Jul. 1996.
5. O. Egeland, A. S. Shiriaev, H. Ludvigsen, and A. L. Fradkov, Swinging up of non-affine in control pendulum," in Proc. Amer. Control Conf., 1999, pp. 4039-4044.
6. S. S. Ge and J. Zhang, "Neural-network control of nonaffine nonlinear system with zero dynamics by state and output feedback," IEEE Trans. Neural Netw., vol. 14, no. 4, pp. 900-918, Jul. 2003.
7. S. S. Ge and C. Wang, "Adaptive neural control of uncertain MIMO nonlinear systems," IEEE Trans. Neural Netw., vol. 15, no. 3, pp. 674-692, May 2004.
8. T. P. Zhang and S. S. Ge, "Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs," Automatica, vol. 43, no. 6, pp. 1021-1033, 2007.
9. N. Hovakimyan, F. Nardi, and A. Calise, "A novel error observer based adaptive output feedback approach for control of uncertain systems," IEEE Trans. Autom. Control, vol. 47, no. 8, pp. 1310-1314, Aug. 2002.
10. N. Hovakimyan, F. Nardi, A. Calise, and N. Kim, "Adaptive output feedback control of uncertain systems using single hidden layer neural networks," IEEE Trans. Neural Netw., vol. 13, no. 6, pp. 1420-1431, Nov. 2002.
11. N. Hovakimyan, E. Lavretsky, and A. Sasane, "Dynamic inversion for nonaffine-in-control systems via time-scale separation: Part I," in Proc. Amer. Control Conf., 2005, pp. 3542-3547.
12. A. Isidori, Nonlinear Control Systems. New York: Springer-Verlag, 1995.
13. D. Fontaine and P. Kokotovic, "Approaches to global stabilization of a nonlinear system not affine in control," in Proc. Amer. Control Conf., 1998, pp. 1645-1647.
14. H. K. Khalil, Nonlinear Systems. Englewood Cliffs, NJ: Prentice-Hall, 2002.
15. P. V. Kokotovic, H. K. Khalil, and J. O'Reilly, Singular Perturbation Methods in Control: Analysis and Design. New York: Academic, 1986.
16. P. Krishnamurthy and F. Khorrami, A high-gain scaling technique for adaptive output feedback control of feedforward systems," IEEE Trans. Autom. Control, vol. 49, no. 12, pp. 2286-2292, Dec. 2004.
17. E. Lavretsky and N. Hovakimyan, "Adaptive dynamic inversion for nonaffine-in-control systems via time-Scale separation: Part II," in Proc. Amer. Control Conf., 2005, pp. 3548-3553.
18. W. Lin, "Global asymptotic stabilization of general nonlinear systems with stable free dynamics via passivity and bounded feedback," Automatica, vol. 32, no. 6, pp. 915-9242, 1996.
19. S. Luca, "Analysis and control of flapping flight: From biological to robotic insects," Ph.D. dissertation, Dept. Electr. Eng. Comput. Sci., Univ. California Berkeley, Berkeley, CA, 1999.
20. E. Moulay and W. Perruquetti, Stabilization of nonaffine systems: A constructive method for polynomial systems," IEEE Trans. Autom. Control, vol. 50, no. 4, pp. 520-526, Apr. 2005.
21. D. Nesic, E. Skafidas, I. M. Y. Mareels, and R. J. Evans, "Minimum phase properties for input nonaffine nonlinear systems," IEEE Trans. Autom. Control, vol. 44, no. 4, pp. 868-872, Apr. 1999.
22. J. Park and I. W. Sandberg, "Universal approximation using radial-basis-function networks," Neural Comput., no. 3, pp. 246-257, 1991.
23. J. B. Pomet and L. Praly, "Adaptive nonlinear regulation: Estimation from the Lyapunov equation," IEEE Trans. Autom. Control, vol. 37, no. 6, pp. 729-740, Jun. 1992.
24. F. Scarselli and A. C. Tsoi, "Universal approximation using feedforward neural networks: A survey of some existing methods, and some new results," Neural Netw., vol. 11, no. 1, pp. 15-37, 1998.
25. R. R. Selmic and F. L. Lewis, "Neural net backlash compensation with Hebbian tuning using dynamic inversion," Automatica, vol. 37, no. 8, pp. 1269-1277, 2001.
26. R. Sepulchre, M. Jankovic, and P. Kokotovic, Constructive Nonlinear Control. New York: Springer-Verlag, 1997.