Analysis of robot navigation schemes using Rantzer's dual Lyapunov theorem

Proceedings of the American Control Conference

Volumn , Issue , 2008, Pages 201-206

  Dimarogonas, Dimos V ^a   Johansson, Karl H ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; CONTROL THEORY; NAVIGATION; ROBOTICS; TELECOMMUNICATION NETWORKS; TRAJECTORIES;

COMPUTER SIMULATIONS; HESSIAN MATRICES; LOWER BOUNDS; LYAPUNOV TECHNIQUES; LYAPUNOV THEOREMS; MULTI-ROBOT FORMATION; NEW RESULTS; POTENTIAL FIELDS; POTENTIAL FUNCTIONS; ROBOT NAVIGATION; SINGLE ROBOTS; SUFFICIENT CONDITIONS;

ROBOTS;

EID: 52449129796     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4586491     Document Type: Conference Paper

References (19)

1. J. Chen, D.M. Dawson, M. Salah, and T. Burg. Multiple UAV navigation with finite sensing zone. 2006 American Control Conference, pages 4933-4938.
2. M.C. DeGennaro and A. Jadbabaie. Formation control for a cooperative multiagent system with a decentralized navigation function. 2006 American Control Conference, pages 1346-1351.
3. D. V. Dimarogonas, S. G. Loizou, K.J. Kyriakopoulos, and M. M. Zavlanos. A feedback stabilization and collision avoidance scheme for multiple independent non-point agents. Automatica, 42(2):229-243, 2006.
4. D.V. Dimarogonas and K.H. Johansson. Stability analysis of robot navigation schemes using Rantzer's dual Lyapunov theorem. IEEE Transactions on Automatic Control, 2007. submitted.
5. D.V. Dimarogonas and K.J. Kyriakopoulos. Distributed cooperative control and collision avoidance for multiple kinematic agets. 45th IEEE Conf. Decision and Control, pages 721-726, 2006.
6. D.V. Dimarogonas and K.J. Kyriakopoulos. An application of Rantzer's dual Lyapunov theorem to decentralized formation stabilization. European Control Conference, pages 882-888, 2007.
7. V. Gazi and K.M. Passino. A class of repulsion/attraction forces for stable swarm aggregations. International Journal of Control, 77(18):1567-1579, 2004.
8. C. Godsil and G. Royle. Algebraic Graph Theory. Springer Graduate Texts in Mathematics # 207, 2001.
9. O. Khatib. Real-time obstacle avoidance for manipulators and mobile robots. International Journal of Robotics Research, 5(1):90-98, 1986.
10. D. E. Koditschek and E. Rimon. Robot navigation functions on manifolds with boundary. Advances Appl. Math., 11:412-442, 1990.
11. J. C. Latombe. Robot Motion Planning. Kluwer Academic Publishers, 1991.
12. N. E. Leonard and E. Fiorelli. Virtual leaders, artificial potentials and coordinated control of groups. Proc. of IEEE Int. Conf. on Decision and Control, pages 2968-2973, 2001.
13. S. G. Loizou and K. J. Kyriakopoulos. Closed loop navigation for multiple holonomic vehicles. Proc. of IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, pages 2861-2866, 2002.
14. S.G. Loizou and A. Jadbabaie. Density functions for navigation function based systems. 45th IEEE Conf. Decision and Control, pages 1800-1805, 2006.
15. I. Masubuchi. Analysis of positive invariance and almost regional attraction via density functions with converse results. IEEE Transactions on Automatic Control, 52(7):1329-1333, 2007.
16. R. Olfati-Saber. Flocking for multi-agent dynamic systems: Algorithms and theory. IEEE Transactions on Automatic Control, 51(3):401-420, 2006.
17. A. Rantzer. A dual to Lyapunov's stability theorem. Systems and Control Letters, 42:161-168, 2001.
18. A. Rantzer and S. Prajna. On analysis and synthesis of safe control laws. 42nd Allerton Conference on Communication, Control, and Computing, 2004.
19. H.G. Tanner and A. Kumar. Towards decentralization of multi-robot navigation functions. 2005 IEEE International Conference on Robotics and Automation, pages 4143-4148, 2005.