Timing control of switched systems with applications to robotic marionettes

Discrete Event Dynamic Systems: Theory and Applications

Volumn 20, Issue 2, 2010, Pages 233-248

  Martin, Patrick ^a   Egerstedt, Magnus B ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Optimal control; Robotics; Time switch optimization

Indexed keywords

EID: 77954566601     PISSN: 09246703     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10626-009-0059-6     Document Type: Article

References (28)

1. Arrow K, Hurwicz L, Uzawa H (1958) Studies in nonlinear programming. Stanford University Press, Stanford
2. Axelsson H, Wardi Y, Egerstedt M, Verriest E (2008) A gradient descent approach to optimal mode scheduling in hybrid dynamical systems. J Optim Theory Appl 136(2):167-186, February
3. Arkin RC (1998) Behavior based robotics. MIT, Cambridge
4. Baird B (1965) The art of the puppet. Mcmillan, New York
5. Bemporad A, Borrelli F, Morari M (2000) Piecewise linear optimal controllers for hybrid systems. In: Proc of the American control conference, Chicago, 28-30 June 2000, pp 1190-1194
6. Bemporad A, Borrelli F, Morari M (2002) On the optimal control law for linear discrete time hybrid systems. In: Greenstreet M, Tomlin C (eds) Hybrid systems: computation and control, LNCS, vol 2289. Springer, New York, pp 105-119
7. Branicky MS, Borkar VS, Mitter SK (1998) A unified framework for hybrid control: model and optimal control theory. IEEE Trans Automat Contr 43:31-45
8. Brockett RW (1988) On the computer control of movement. In: The proceedings of the 1988 IEEE conference on robotics and automation, New York, April 1988, pp 534-540
9. Cassandras CG, Lafortune S (1999) Introduction to discrete event systems. Kluwer, Norwell
10. Center for Puppetry Arts (2005) Center for Puppetry Arts homepage. http://www.puppet.org/
11. Chudoung J, Beck C (2001) The minimum principle for deterministic impulsive control systems. In: IEEE Conf on Decision and Control, Orlando, 4-7 December 2001, pp 3569-3574
12. Egerstedt M, Brockett RW (2003) Feedback can reduce the specification complexity of motor programs. IEEE Trans Automat Contr 48(2):213-223, February
13. Egerstedt M, Wardi Y, Axelsson H (2006) Transition-time optimization for switched-mode dynamical systems. IEEE Trans Automat Contr AC-51:110-115
14. Egerstedt M, Murphey T, Ludwig J (2007) Motion programs for puppet choreography and control. Hybrid systems: computation and control, Pisa, Italy. Springer, New York, pp 190-202, April
15. Engler L, Fijan C (1973) Making puppets come alive. Taplinger, New York
16. Guia A, Seatzu C, Van der Mee C (1999) Optimal control of switched autonomous linear systems. In: IEEE conf on decision and control, Phoenix, 7-10 December 1999, pp 1816-1821
17. Hedlund S, Rantzer A (1999) Optimal control of hybrid systems. In: IEEE conf. on decision and control, Phoenix, 7-10 December 1999, pp 3972-3977
18. Kortenkamp D, Bonasso RP, Murphy R (eds) (1998) Artificial intelligence and mobile robots. MIT, Cambridge
19. Ludwig J (2005) Rainforest adventures. http: //www.puppet.org/perform/ rainforest.shtml
20. Hristu-Varsakelis D, Egerstedt M, Krishnaprasad PS (2003) On the structural complexity of the motion description language MDLe. In: IEEE conference on deciIn: IEEE conference on decision and control, Maui, December 2003
21. Manikonda V, Krishnaprasad PS, Hendler J (1998) Languages, Behaviors, hybrid architectures and motion control. In: Willems JC, Baillieul J (eds) Mathematical control theory. Springer, New York, pp 199-226
22. Rantzer A (2007) On price mechnanisms in linear quadratic team theory. In: IEEE conference on decision and control, New Orleans, December 2007
23. Shaikh MS, Caines P (2002) On trajectory optimization for hybrid systems: theory and algorithms for fixed schedules. In: IEEE conf on decision and control, Las Vegas, December 2002, pp 1997-1998
24. Shaikh MS, Caines PE (2003) On the optimal control of hybrid systems: optimization of trajectories, switching times and location schedules. In: 6th international workshop on hybrid systems: computation and control, Prague, 3-5 April 2003
25. Sussmann HJ (2000) Set-valued differentials and the hybrid maximum principle. In: IEEE conf on decision and control, Sydney, 12-15 December 2000, pp 558-563
26. Wang LY, Beydoun A, Cook J, Sun J, Kolmanovsky I (1997) Optimal hybrid control with applications to automotive powertrain systems. Control using logic-based switching, LNCIS, vol 222. Springer, New York, pp 190-200
27. Xu X, Antsaklis P (2002a) Optimal control of switched autonomous systems. In: IEEE Conf on Decision and Control, Las Vegas, December 2002, pp 4401-4406
28. Xu X, Antsaklis PJ (2002b) Optimal control of switched systems via nonlinear optimization based on direct differentiations of value functions. Int J Control 75:1406-1426