Hierarchical control for a class of uncertain piecewise linear hybrid dynamical systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue 1, 2002, Pages 199-204

  Lin, Hai ^a   Koutsoukos, Xenofon D ^b   Antsaklis, Panos J ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

^b PALO ALTO RESEARCH CENTER   (United States)

Author keywords

Hierarchical control; Hybrid systems; Piecewise linear systems; Uncertainty

Indexed keywords

AUTOMATION; CLOSED LOOP SYSTEMS; EQUATIONS OF STATE; FLOW CONTROL; HYBRID SYSTEMS; LINEAR SYSTEMS; PIECEWISE LINEAR TECHNIQUES; SPECIFICATIONS;

BACKWARD REACHABILITY; CONTINUOUS DYNAMICS; CONTROL OBJECTIVES; DYNAMIC UNCERTAINTY; HIERARCHICAL CONTROL; HYBRID DYNAMICAL SYSTEMS; PIECE-WISE LINEAR SYSTEMS; UNCERTAINTY;

HIERARCHICAL SYSTEMS;

EID: 84945569667     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20020721-6-es-1901.00521     Document Type: Conference Paper

References (10)

1. Hespanha, J., D. Liberzon, A. Stephen Morse, Brian D. O. Anderson, Thomas S. Brinsmead and Franky De Bruyne (2001). Multiple model adaptive control. part 2: switching. International Journal of Robust and Nonlinear Control 11(5), 479-496.
2. Johansson, M. (1999). Piecewise Linear Control Systems. PhD thesis. Lund Institute of Technology.
3. Koutsoukos, X. and P. Antsaklis (2001). Hierarchical control of piecewise linear hybrid dynamical systems based on discrete abstractions. ISIS Tech. Rept. ISIS-2001-001, http://www.nd.edu/isis/tech.html.
4. Koutsoukos, X., P. Antsaklis, J. Stiver and M. Lemmon (2000a). Supervisory control of hybrid systems. Proceedings of IEEE 88(7), 1026-1049.
5. Koutsoukos, X.D. (2000b). Analysis and Design of Piecewise Linear Hybrid Dynamical Systems. PhD thesis. University of Notre Dame.
6. Motzkin, T. (1952). The theory of linear inequalities. Rand Corp. Santa Monica, CA.
7. Raisch, J. and S. O'Young (1998). Discrete approximation and supervisory control of continuous systems. IEEE Tran. on AC 43(4), 568-573.
8. Sontag, E. (1982). Remarks on piecewise-linear algebra. Pacific Journal of Mathematics 82(1), 180-210.
9. Sontag, E. (1996). Interconnected automata and linear systems: A theoretical framework in discrete-time. Pacific Journal of Mathematics 1066, 436-448.
10. Stiver, J., P. Antsaklis and M. Lemmon (1996). A logical des approach to the design of hybrid control systems. Mathl. Comput. Modelling 23(11/12), 55-76.