Computing finitely reachable containable region for switching systems

IEE Proceedings: Control Theory and Applications

Volumn 152, Issue 4, 2005, Pages 477-486

  Su, R ^a   Abdelwahed, S ^b   Neema, S ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; FINITE ELEMENT METHOD; FUNCTIONS; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; SET THEORY;

DISCRETE EVENT SYSTEMS; FINITE CONVERGENCE; SAFETY CONTROL; TWO-TANK SYSTEMS;

SWITCHING SYSTEMS;

EID: 22944458530     PISSN: 13502379     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1049/ip-cta:20045123     Document Type: Article

References (21)

1. Branicky, M.: 'Multiple lyapunov functions and other analysis tools for switched and hybrid systems', IEEE Trans. Autom. Control, 1998, 43, (4), pp. 475-482
2. Alur, R., Courcoubetis, C., Halbwachs, N., Henzinger, T.A., Ho, P.-H., Nicollin, X., Olivero, A., Sifakis, J., and Yovine, S.: 'The algorithmic analysis of hybrid systems', Theor. Comput. Sci., 1995, 138, (1), pp. 3-34
3. Antsaklis, P., Koutsoukos, X., and Zaytoon, J.: 'On hybrid control of complex systems: a survey', Eur. J. Autom., 1998, 32, pp. 1023-1045
4. Morari, M., and Lee, J.: 'Model predictive control: Past, present and future', Comput. Chem. Eng., 1999, 23, pp. 667-682
5. Qin, S., and Badgewell, T.: 'An overview of industrial model predictive control technology', Chem. Proc. Control, 1997, 93, (316), pp. 232-256
6. Slupphaug, O., and Foss, B.A.: 'Model predictive control for a class of hybrid systems'. Proc. European Control Conf., Brussels, Belgium, 1997
7. Kerrigan, E., Bemporad, A., Mignone, D., Morari, M., and Maciejowski, J.: 'Multiobjective prioritisation and reconfiguration for the control of constrained hybrid systems'. Proc. 2000 American Control Conf., 2000
8. Chung, S.L., Lafortune, S., and Lin, F.: 'Limited lookahead policies in supervisory control of discrete event systems', IEEE Trans. Autom. Control, 1992, 37, (12), pp. 1921-1935
9. Wong, W., and Brockett, R.: 'Systems with finite communication bandwidth constrains-ii: Stabilization with limited information feedback', IEEE Trans. Autom. Control, 1999, 44, (5), pp. 1049-1053
10. Lakshmikantham, V., Leela, S., and Martynyuk, A.: 'Practical stability of nonlinear systems' (World Scientific, Singapore, 1990)
11. Bersekas, D., and Rhodes, I.: 'On the minimax reachability of target sets and target tubes', Automatica, 1971, 7, (2), pp. 233-247
12. Bersekas, D.: 'Infinite time reachability of state-space regions by using feedback control', IEEE Trans. Autom. Control, 1972, 17, (5), pp. 604-613
13. Blanchini, F.: 'Set invariance in control', Automatica, 1999, 35, (11), pp. 1747-1767
14. Kerrigan, E., and Maciejowski, J.: 'Invariant sets for constrained nonlinear discrete-time systems with application to feasibility in model predictive control'. Proc. 39th IEEE Conf. on Decision and Control (CDC), Sydney, Australia, December 2000
15. Zubov, V.I.: 'Methods of A.M. Lyapunov and their Application' (P. Noordhoff, Groningen, 1964)
16. Paice, A.D.B., and Wirth, F.: 'Robustness analysis of domains of attraction of nonlinear systems', in B. F. et al (Ed.). Proc. Mathematical Theory of Networks and Systems, 1998, pp. 353-356
17. Falcone, M., Grune, L., and Wirth, F.: 'A maximum time approach to the computation of robust domains of attraction', in B. F. et al. (Ed.). Proc. Int. Conf. on Differential Equations, 1999, pp. 844-849
18. Tomlin, C., Lygeros, J., and Sastry, S.: 'A game theoretic approach to controller design for hybrid systems', Proc. IEEE, 2000, 88, pp. 949-970
19. Kerrigan, E., Lygeros, J., and Maciejowski, J.: 'A geometric approach to reachability computations for constrained discrete-time systems'. Proc. 15th IFAC World Congress on Automatic Control, Barcelona, Spain, July 2002
20. Bertsekas, D.P.: 'Nonlinear programming' (Athena Scientific, Nashua NH, 1995)
21. Varaiya, P.P.: 'Notes on optimization' (Van Nostrand, New York, 1972)