Gradient climbing in formation via extremum seeking and passivity-based coordination rules

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2007, Pages 3133-3138

  Biyik, Emrah ^a   Arcak, Murat ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTION FUNCTIONS; OPTIMIZATION; SCALABILITY; TIME SERIES ANALYSIS;

EXTREMUM SEEKING; GRADIENT CLIMBING; SCALAR FIELD DISTRIBUTION;

PROBLEM SOLVING;

EID: 62749098689     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2007.4434735     Document Type: Conference Paper

References (26)

1. N.E. Leonard and E. Fiorelli. Virtual leaders, artificial potentials and coordinated control of groups. In Proceedings of the 40th IEEE Conference on Decision and Control, pages 2968-2973, Orlando, Florida, 2001.
2. P. Ögren, E. Fiorelli, and N.E. Leonard. Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed network. IEEE Transactions on Automatic Control, 49(8): 1292-1302, 2004.
3. V. Gazi and K.M. Passino. Stability analysis of social foraging swarms. IEEE Transactions on Systems, Man, and Cybernetics, 34(1):539-557, 2004.
4. M. Arcak. Passivity as a design tool for group coordination. To appear in IEEE Transactions on Automatic Control, 2007.
5. H. Bai, M. Arcak, and J.T. Wen. Group coordination when the reference velocity is available only to the leader: an adaptive design. To appear in Proceedings of 2007 American Control Conference. New York City, NY, 2007.
6. C. Zhang, A. Siranosian, and M. Krstić. Extremum seeking for moderately unstable systems and for autonomous target tracking without position measurements. In Proceedings of the American Control Conference, Minneapolis, MN, 2006.
7. C. Zhang, D. Arnold, N. Ghods, A. Siranosian, and M. Krstić. Source seeking with nonholonomic unicycle without position measurementpart I: Tuning of forward velocity. In Proceedings of the 45th IEEE Conference on Decision and Control, pages 3040-3045, San Diego, CA, 2006.
8. R. Bachmayer and N.E. Leonard. Vehicle networks for gradient descent in a sampled environment. In Proceedings of the 41st IEEE Conference on Decision and Control, pages 113-117, Las Vegas, NV, 2002.
9. J. Cortés, S. Martínez, T. Karataş, and F. Bullo. Coverage control for mobile sensing networks. IEEE Transactions on Robotics and Automation, 20(2):243-255, 2004.
10. T. Huntsberger, P. Pirjanian, A. Trebi-Ollennu, H. D. Nayar, H. Aghazarian, A. J. Ganino, M. Garrett, S. S. Joshi, and P. S. Schenker. Campout: A control architecture for tightly coupled coordination of multirobot systems for planetary surface exploration. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, 33(5):550-559, 2003.
11. K.M. Passino. Biomimicry of bacterial foraging for distributed optimization and control. IEEE Control Systems Magazine, 22(3):52-67, 2002.
12. L. R. Shugart, J. F. McCarthy, and R. S. Halbrook. Biological markers of environmental and ecological contamination: An overview. Risk Analysis, 12(3):353-360, 1992.
13. K.B. Ariyur and M. Krstić. Real-Time Optimization by Extremum-Seeking Feedback. Wiley-Interscience, Hoboken, NJ, 2003.
14. A.R. Teel and D. Popović. Solving smooth and nonsmooth multivariable extremum seeking problems by the methods of nonlinear programming. In Proceedings of the 2001 American Control Conference, pages 2394-2399, Arlington, VA, 2001.
15. D.F. Chichka, J. Speyer, and C.G. Park. Peak seeking control with application to formation flight. In Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, 1999.
16. P. Binetti, K. B. Ariyur, M. Krstić, and F. Bernelli. Control of formation flight via extremum seeking. In Proceedings of the 2002 American Control Conference, Anchorage, AK, 2002.
17. J. Nocedal and S.J. Wright. Numerical Optimization. Springer-Verlag, New York, 1999.
18. J.C. Spall. Multivariable stochastic approximation using a simultaneous perturbation gradient approximation. IEEE Transactions on Automatic Control, 37(3):332-341, 1992.
19. J.C. Spall. Adaptive stochastic approximation by the simultaneous perturbation method. IEEE Transactions on Automatic Control, 45(10)1839-1853, 2000.
20. C. Zhang and R. Ordóñez. Numerical optimization-based extremum seeking control of LTI systems. In Proceedings of the 44th IEEE Conference on Decision and Control, Sevilla, Spain, MN, 2006.
21. C. Zhang and R. Ordóñez. Extremum seeking control based on numerical optimization and state regulation-part I: Theory and framework. In Proceedings of the 45th IEEE Conference on Decision and Control, pages 4466-4471, San Diego, CA, 2006.
22. N. Biggs. Algebraic Graph Theory. Cambridge University Press, second edition, 1993.
23. H. K. Khalil. Nonlinear Systems. Prentice Hall, Upper Saddle River, NJ, third edition, 1997.
24. J.E. Dennis and R.B. Schnabel. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. SIAM, Philadelphia, 1996.
25. J. Kiefer and J. Wolfowitz. Stochastic estimation of a regression function. Annals of Mathematical Statistics, 23:462-466, 1952.
26. J.R. Blum. Multidimensional stochastic approximation methods. Annals of Mathematical Statistics, 25:737-744, 1954.