Synthesis of state-feedback optimal controllers for continuous-time switched linear systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2002, Pages 3182-3187

  Bemporad, Alberto ^a   Giua, Alessandro ^b   Seatzu, Carla ^b  

^a UNIVERSITY OF SIENA   (Italy)

^b UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; DYNAMIC PROGRAMMING; LINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; PIECEWISE LINEAR TECHNIQUES; STATE FEEDBACK; STATE SPACE METHODS; SWITCHING;

CONTINUOUS-TIME SWITCHED LINEAR SYSTEM; STATE FEEDBACK OPTIMAL CONTROL; SWITCHED PIECEWISE LINEAR AUTONOMOUS SYSTEM; SWITCHING TABLE;

CONTROL SYSTEM SYNTHESIS;

EID: 0036989779     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. A. Bemporad, F. Borrelli, and M. Morari. Piecewise linear optimal controllers for hybrid systems. In Proc. American Contr. Conf., pages 1190-1194, Chicago, IL, June 2000.
2. A. Bemporad, A. Giua, and C. Seatzu. An iterative algorithm for the optimal control of continuous-time switched linear systems. In 6th Int. Work. on Discrete Event Systems (WODES), Zaragoza, Spain, October 2002.
3. A. Bemporad, A. Giua, and C. Seatzu. A master-slave algorithm for the optimal control of continuous-time switched affine systems. In Proc. 41th IEEE Conf. on Decision and Control, Las Vegas, USA, December 2002.
4. M.S. Branicky, V.S. Borkar, and S.K. Mitter. A unified framework for hybrid control: model and optimal control theory. IEEE Trans. Automatic Control, 43(1):31-45, 1998.
5. M.S. Branicky and S.K. Mitter, Algorithms for optimal hybrid control. In Proc. 34th IEEE Conf. on Decision and Control, New Orleans, USA, December 1995.
6. P.J. Antsaklis (ed.) Special issue on hybrid systems: Theory and applications. Proceedings of the IEEE, 88(7), July 2000.
7. A. Giua, C. Seatzu, and C. Van Der Mee. Optimal control of autonomous linear systems switched with a pre-assigned finite sequence. In Proc. 2001 IEEE Int. Symp. on Intelligent Control, pages 144-149, Mexico City, Mexico, 2001.
8. A. Giua, C. Seatzu, and C. Van Der Mee. Optimal control of switched autonomous linear systems. In Proc. 40th IEEE Conf. on Decision and Control, pages 2472-2477, Orlando, Florida USA, 2001.
9. K. Gokbayrak and C.G. Cassandras. A hierarchical decomposition method for optimal control of hybrid systems. In Proc. 38th IEEE Conf. on Decision and Control, pages 1816-1821, Phoenix, AZ, December 1999.
10. S. Hedlund and A. Rantzer. Optimal control of hybrid systems. In Proc. 38th IEEE Conf. on Decision and Control, pages 3972-3976, Phoenix, AZ, December 1999.
11. B. Piccoli. Necessary conditions for hybrid optimization. In Proc. 38th IEEE Conf. on Decision and Control, Phoenix, Arizona USA, December 1999.
12. A. Rantzer and M. Johansson. Piecewise linear quadratic optimal control. In Proc. American Contr. Conf., Albuquerque, 1997.
13. P. Riedinger, F. Kratz, C. Iung, and C. Zanne Linear quadratic optimization for hybrid systems. In Proc. 38th IEEE Conf. on Decision and Control, Phoenix, Arizona USA, December 1999.
14. H.J. Sussmann, A maximum principle for hybrid optimal control problems. In Proc. 38th IEEE Conf. on Decision and Control, Phoenix, Arizona USA, December 1999.
15. X. Xu and P.J. Antsakis. An approach to switched systems optimal control based on parameterization of the switching instants. In Proc. IFAC World Congress, Barcelona, Spain, 2002.