Calculation of bounding sets for neural network based adaptive control systems

AIAA Guidance, Navigation and Control Conference and Exhibit

Volumn , Issue , 2008, Pages

  Campa, Giampiero ^a,c   Mammarella, Marco ^a,c   Cukic, Bojan ^a,c   Gu, Yu ^a,c   Napolitano, Marcello R ^a,c   Fuller, Eddie ^a   Fravolini, Mario L ^b,d  

^a WEST VIRGINIA UNIVERSITY   (United States)

^b UNIVERSITY OF PERUGIA   (Italy)

^c West Virginia University   (United States)

^d Dipto d'Ingegneria Elettronica   (Italy)

Author keywords

Adaptive control; Boundedness; Lyapunov; Neural networks; Stability

Indexed keywords

CLOSED LOOP SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; DYNAMICAL SYSTEMS; FLIGHT CONTROL SYSTEMS; FLIGHT SIMULATORS; LYAPUNOV METHODS; NEURAL NETWORKS;

ADAPTIVE CONTROL; ADAPTIVE FLIGHT CONTROL SYSTEM; BOUNDEDNESS; DIRECT ADAPTIVE CONTROL; LYAPUNOV ANALYSIS; NEURAL NETWORK BASED ADAPTIVE CONTROL; SIMULATION EXAMPLE; TYPICAL DESIGN;

ADAPTIVE CONTROL SYSTEMS;

EID: 78651083133     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2008-6778     Document Type: Conference Paper

References (46)

1. Parks, P., C., "Lyapunov redesign of model reference adaptive control systems", IEEE Transaction on Automatic Control, 11 (1966), 362-367.
2. Morse, A.,S., "Towards a Unified Theory of Parameter Adaptive Control: Tunability", IEEE Transaction on Automatic Control, 35 (1991), no. 9, 1002-1012.
3. Morse, A.,S., "Towards a Unified Theory of Parameter Adaptive Control-Part II: Certainty Equivalence and Implicit Tuning", IEEE Transaction on Automatic Control, 37 (1992), no. 1, 15-29.
4. Hornik, K., Stinchombe, M., White, H., "Multilayer feedforward networks are universal approximators", Neural Networks, vol. 2, pp., 359-366, 1989.
5. Park, J., Sandberg, I. W., "Universal approximation using radial-basis-function networks", Neural Computation, vol. 3, pp. 246-257, 1991.
6. Narendra, K.,S., and Parthasarathy, K., "Identification and control of dynamical systems using neural networks," IEEE Transactions on Neural Networks, 1 (1990), 4-27.
7. Sanner, R., and Slotine, J.,J., "Gaussian networks for direct adaptive control", IEEE Transactions on Neural Networks 3 (1992), no. 6, 837-864.
8. Tzirkel-Hancock, E., and Fallside, F., "Stable control of nonlinear systems using neural networks", Int. J. Robust and Nonlinear Control 2 (1992), 63-86.
9. Chen, F.,C., and Khalil, H.,K., "Adaptive Control of Nonlinear Systems using Neural Networks", International Journal of Control 55 (1992), no. 6, 1299-1317.
10. Lewis, F.,L., Yesildirek, A., and Liu, K., "Multilayer Neural-Net Robot Controller with Guaranteed Tracking Performance," IEEE Transactions on Neural Networks, 7 (1996), no. 2, 1-12.
11. Kim B.,S., and Calise, A.,J., "Nonlinear Flight Control Using Neural Networks," Journal of Guidance, Control and Dynamics, 20 (1997), no. 1, 26-33. 144
12. Calise A.,J., and Rysdyk, R.,T., "Nonlinear Adaptive Flight Control using Neural Networks", IEEE Control System Magazine 18 (1998), no. 6, 14-25.
13. Calise, A.J., Lee, S., Sharma, M., "Development of a Reconfigurable Flight Control Law for Tailless Aircraft". AIAA Journal of Guidance, Control, and Dynamics, 24(5): 896-902, 2001.
14. Calise, A., J., Hovakimyan, N., Idan, M., "Adaptive output feedback control of nonlinear systems using neural networks", Automatica, vol. 37, no. 8, pp. 1201-1211, 2001. (Pubitemid 32610251)
15. Hovakimyan, N.; Nardi, F.; Calise, A.J.; "A novel error observer-based adaptive output feedback approach for control of uncertain systems", IEEE Transactions on Automatic Control, Volume 47, Issue 8, Aug. 2002 Page(s):1310 - 1314 (Pubitemid 34959764)
16. Hovakimyan, N.; Nardi, F.; Calise, A.J.; Kim, N. "Adaptive output feedback control of uncertain nonlinear systems using single-hidden-layer neural networks", IEEE Transactions on Neural Networks Volume 13, Issue 6, Nov. 2002 Page(s):1420 - 1431. (Pubitemid 35428529)
17. Hovakimyan, N, Lavretsky, E, Yang B, Calise, A.J., "Coordinated Decentralized Adaptive Output Feedback Control of Interconnected Systems", IEEE Transactions on Neural Networks, Volume 16, Issue 1, Jan. 2005, Page(s):185 - 194 (Pubitemid 40241919)
18. Wang, C., Hill, D.J., Learning From Neural Control, IEEE Transactions on Neural Networks, Volume 17, No 1, Jan 2006, Page(s): 130 - 146.
19. Barmish, B.; Leitmann, G.; "On ultimate boundedness control of uncertain systems in the absence of matching assumptions", IEEE Transactions on Automatic Control, Volume 27, Issue 1, Feb 1982 Page(s):153 - 158.
20. Taylor, J. H. "Strictly positive-real functions and the Lefschetz-Kalman-Yakubovich (LKY) lemma" IEEE Transactions on Circuits and Systems, Volume: 21, Issue: 2, Mar 1974, Page(s): 310 - 311.
21. Burken, J.,J., Lu, P., Wu, Z., and Bahm, C., "Two Reconfigurable Flight-Control Design Methods: Robust Servomechanism and Control Allocation" Journal of Guidance, Control, and Dynamics, Vol. 24, No. 3, 2001, pp. 482-493.
22. Landau, I.,D., Adaptive control: the model reference approach, Marcel Dekker, 1979.
23. Narendra, K.,S., Annaswamy, A.,M., Stable adaptive control, Prentice Hall, 1989.
24. Ioannou, P.,A., and Sun, J., Robust Adaptive Control, Prentice Hall, New Jersey, 1996.
25. Fausett, L. Fundamentals of Neural Networks: Architecture, Algorithms and Application, Prentice Hall, NJ, 1994.
26. Brown, M., and Harris, C. (1994), Neurofuzzy Adaptive Modelling and Control, NY: Prentice Hall.
27. Gupta M., M., and Rao, D., H., Neuro-control systems: theory and applications, IEEE Press, 1994.
28. Isidori, A., Nonlinear Control Systems, Springer-Verlag, London, Third edition, 1995.
29. Macejowki, J. M., Multivariable Feedback Design, Addison-Wesley, 1989
30. Sontag, E., "Neural networks for control", In: Essays on Control: Perspectives in the Theory and its Applications, Trentelman, H. and Willems, J.,C. pp 339-380.
31. Jordan, C., Calculus of Finite Differences, Chelsea Publication Company, New York, N.Y., 1960.
32. Maybeck P.S., Stochastic Models, Estimation, and Control, Volume 1. Academic Press Inc., New York, 1982.
33. Barron, A., Approximation and Estimation Bounds for Artificial Neural Networks, Machine Learning, vol. 14, pp 11-133, 1994.
34. Stengel, R.F., Optimal control and estimation, Dover Publication Inc. New York, 1994.
35. Lockwood, E., H., Book of Curves, Cambridge University Press, 1967.
36. Polycarpou, M., M., and Ioannou, P.,A., "Modelling, Identification and Stable Adaptive Control of Continuous-Time Nonlinear Dynamical Systems Using Neural Networks," Proceedings of the American Control Conference (1992), 36-40.
37. Campa, G., Sharma, M., Calise, A.J., Innocenti, M., "Neural Network Augmentation of Linear Controllers with Application to Underwater Vehicles," American Control Conference 2000, June 2-4, 2000 Chicago, IL.
38. Sharma, M, Calise A. J., "Neural network augmentation of existing linear controllers," AIAA Guidance, Navigation, and Control Conference and Exhibit, Montreal, Canada, Aug. 6-9, 2001
39. Hovakimyan, N.; Calise, A.J.; "Extending Linear Designs to Nonlinear Systems via Adaptive Architectures", Proceedings of the 2003 American Control Conference, 2003. 4-6 June 2003, Page(s): 555 - 560.
40. Hayakawa, T., Haddad, W., M., Hovakimyan, N., "Neural Network Adaptive Control for Nonlinear Uncertain Dynamical Systems with Asymptotic Stability Guarantees", American Control Conference June 8-10, 2005, Portland, OR, USA
41. Patel, V.,V., Cao, C., Hovakimyan, N., Wise K., A., Lavretsky, E., "L1 Adaptive Controller for Tailless Unstable Aircraft" American Control Conference July 11-13, 2007, New York City, USA.
42. Whitaker, H.,P., Yamron, J., and Kezer, A., "Design of model reference adaptive control systems for aircraft," Instrumentation Laboratory, M.I.T. (1958).
43. Sharma, M, "A Neuro-Adaptive Autopilot Design for Guided Munitions." PhD thesis, Georgia Institute of Technology, School of Aerospace Engineering, Atlanta, GA 30332, April 2001.
44. Eick, R., S., "A Reconfiguration Scheme For Flight Control Adaptation To Fixed-Position Actuator Failures", MS Thesis, University Of Florida, http://purl.fcla.edu/fcla/etd/UFE0001265, Gainesville, FL 32611, 2003.
45. Campa, G., "Bounds Computation for Adaptive System V&V", IV&V Facility Research Program Results and SARP Results, http://sarpresults.ivv.nasa.gov/ViewResearch/4/115.jsp., Fairmont, WV, 2008.
46. Simulink, Simulation and Model Based Design, The Mathworks Inc., Natick, MA, 2007.