A Linear Programming Approach to Time Optimal Control of Integrator Switched Systems with State Constraints

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2003, Pages 2168-2173

  Xu, Xuping ^a   Antsaklis, Panos J ^b  

^a BEHREND COLLEGE   (United States)

^b University of Notre Dame   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; GRAPH THEORY; LINEAR PROGRAMMING; OPTIMAL CONTROL SYSTEMS;

INTEGRATOR SWITCHED SYSTEMS; TIME OPTIMAL CONTROL;

SWITCHING SYSTEMS;

EID: 1542349120     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. R. Alur, C. Coucoubetis, T.A. Henzinger, P.-H. Ho, X. Nicollin, A. Olivero, J. Sifakis, S. Yovine. The algorithmic analysis of hybrid systems. Theor. Comp. Sci., 138:3-34, 1995.
2. A. Bemporad and M. Morari. Control of systems integrating logic, dynamics, and constraints. Automatica, 35(3):407-427.
3. A. Bemporad, F. Borrelli, and M. Morari. On the optimal control law for linear discrete time hybrid systems. In HSCC 2002, LNCS 2289, pp. 105-119, Springer, 2002.
4. B. De Schutter. Optimal control of a class of linear hybrid systems with saturations. SICON, 39(3):835-851, 2000.
5. T.A. Henzinger, P.W. Kopke, A. Pun, and P. Varaiya. What's decidable about hybrid automata? J. of Computer and System Sciences, 57:94-124, 1998.
6. A. Giua, C. Seatzu, and C. Van Der Mee. Optimal control of switched autonomous linear systems. In Proc. of the 40th IEEE CDC, pp. 2472-2477, 2001.
7. D. Liberzon and A.S. Morse. Basic problems in stability and design of switched systems. IEEE CSM, 19:59-70, 1999.
8. B. Lincoln and B. Bernhardsson. LQR optimization of linear system switching. IEEE TAC, 47(10):1701-1705, 2002.
9. D.L. Pepyne and C.G. Cassandras. Optimal control of hybrid systems in manufacturing. Proc. IEEE, 88(7):1108-1123.
10. S. Pettersson and B. Lennartson. Time-optimal control and disturbance compensation for a class of hybrid systems. In Proc. 13th IFAC World Congress, Vol. J, pp. 281-286, 1996.
11. S. Pettersson. Analysis and Design of Hybrid Systems. Ph.D. Thesis, Chalmers Univ. of Tech., G̈teborg, Sweden, 1999.
12. P. Riedinger, C. Zanne, and F. Kratz. Time optimal control of hybrid systems. In Proc. 1999 ACC, pp. 2466-2470, 1999.
13. M. Tittus. Control Synthesis for Batch Processes. Ph.D. Thesis, Chalmers Univ. of Tech., Göteborg, Sweden, 1995.
14. X. Xu and P.J. Antsaklis. Results and perspectives on computational methods for optimal control of switched systems. In HSCC 2003, LNCS 2623, pp. 540-555, Springer, 2003.