Hierarchical hybrid control systems: A lattice theoretic formulation

IEEE Transactions on Automatic Control

Volumn 43, Issue 4, 1998, Pages 501-508

  Caines, Peter E ^a,b   Wei, Yuan Jun ^c  

^a IEEE   (Canada)

^b MCGILL UNIVERSITY   (Canada)

^c MOTOROLA INC   (United States)

Author keywords

Hierarchical systems; Hybrid systems; Lattices

Indexed keywords

CONTROL SYSTEMS; CONTROLLABILITY; HIERARCHICAL SYSTEMS; MATHEMATICAL TECHNIQUES;

HYBRID PARTITION MACHINES;

CONTROL THEORY;

EID: 0032047438     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.664153     Document Type: Article

References (13)

1. M. S. Branicky, V. S. Borkar, and S. K. Mitter, "A unified framework for hybrid control," in Proc. 33rd IEEE Conf. Decision and Control, Lake Buena Vista, FL, 1994, pp. 4228-4234.
2. P. E. Caines and R. Ortega, "The semi-lattice of piecewise constant controls for nonlinear systems: A possible foundation for fuzzy control," in Proc. IFAC-NOLCOS, Tahoe, CA, June 1995.
3. P. E. Caines, "Hierarchical hybrid control systems," in Proc. 1997 Chinese Control Conf., Lushan, Jiang-Xi, China, pp. 10-20.
4. P. E. Caines and Y.-J. Wei, "On dynamically consistent hybrid systems," in 1994 Cornell University Workshop on Hybrid Systems & Autonomous Control, Hybrid Systems II, LNCS, no. 999, P. Antsaklis, W. Kohn, A. Nerode, and S. Sastry, Eds. New York: Springer Verlag, 1995, pp. 257-263.
5. _, "Hierarchical hybrid control systems," in Control Using Logic-Based Switching, vol. 222, S. Morse, Ed. New York: Springer-Verlag, 1996, pp. 1-12.
6. _, "The hierarchical lattices of a finite machine," Syst. Contr. Lett., pp. 257-263, July 1995.
7. E. Lemch and P. E. Caines, "An application of hierarchical hybrid control to the acrobot system," Dept. Electrical Engineering, McGill Univ., Montreal, PQ, Canada, Tech. Rep., 1997.
8. N. B. O. L. Pettit, "The analysis of piecewise linear dynamical systems," in Control Using Logic-Based Switching, vol. 222, S. Morse, Ed. New York: Springer-Verlag, 1996, pp. 49-58.
9. J. A. Stiver and P. J. Antsaklis, "On the controllability of hybrid control systems," in Proc. 32nd IEEE Conf. Decision and Control, San Antonio, TX, 1993, pp. 294-299.
10. H. J. Sussmann, "Regular synthesis for time-optimal control of single-input real analytic systems in the plane," SIAM. J. Contr. Optim., vol. 25, no. 5, pp. 1145-1162, Sept. 1987.
11. Y.-J. Wei, "Logic control: Markovian fragments, hierarchy and hybrid systems," Ph.D. dissertation, Dept. Electrical Engineering, McGill Univ., Montreal, Canada, Oct. 1995.
12. Y.-J. Wei and P. E. Caines, "Lattice structures and hierarchical COCOLOG for finite machines," in Proc. 33rd IEEE Conf. Decision and Control, Lake Buena Vista, FL, Dec. 1994, pp. 3125-3130.
13. Y. Zhang and A. K. Mackworth, "Synthesis of hybrid constraint-based controllers," in Verification and Control of Hybrid Systems, Hybrid Systems II. Lecture Notes in Computer Science, vol. 999, A. Nerode et al., Eds. New York: Springer Verlag, 1995, pp. 552-567.