Optimal control of sampled-data piecewise affine systems

Automatica

Volumn 40, Issue 4, 2004, Pages 661-669

  Imura, Jun Ichi ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Hybrid systems; Logical events; Optimal continuous time control; Piecewise affine systems; Sampled data

Indexed keywords

COMPUTER SIMULATION; CONTROL EQUIPMENT; DATA REDUCTION; DISCRETE TIME CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; OPTIMIZATION; SAMPLING; SET THEORY; SWITCHING;

HYBRID SYSTEMS; LOGICAL EVENTS; OPTIMAL CONTINUOUS-TIME CONTROL; PIECEWISE AFFINE (PWA) SYSTEMS; SAMPLED DATA;

OPTIMAL CONTROL SYSTEMS;

EID: 1242287570     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2003.11.012     Document Type: Article

References (21)

1. Bemporad, A., Borrelli, F., & Morari, M. (2000a). Piecewise linear optimal controllers for hybrid systems. Proceedings of 2000 American control conference, Chicago, USA (pp. 1190-1194).
2. Bemporad A., Ferrari-Trecate G., Morari M. Observability and controllability of piecewise affine and hybrid systems. IEEE Transactions on Automatic Control. 45(10):2000;1864-1876.
3. Bemporad, A., Giua, A., & Seatzu, C. (2002). Synthesis of state-feedback optimal controllers for continuous-time switched linear systems. Proceedings of IEEE conference on decision and control, Las Vegas, USA (pp. 3182-3187).
4. Bemporad A., Morari M. Control of systems integrating logic, dynamics, and constraints. Automatica. 35:1999;407-427.
5. Bemporad, A., & Morari, M. (1999b). Verification of hybrid systems via mathematical programming. In: F. W. Vaandrager, J. H. van Schuppen (Eds.), Hybrid systems-computation and control (HSCC'99), Lecture notes in computer science, Vol. 1569. (pp. 31-45). Berlin: Springer.
6. Branicky M.S., Borkar V.S., Mitter S.K. A unified framework for hybrid control. Model and optimal control theory IEEE Transactions on Automatic Control. 43:1998;31-45.
7. Branicky, M. S., Johansen, T. A., & Petersen, I. (2000). On-line techniques for behavioral programming. Proceedings of the 39th IEEE conference on decision and control, Sydney, Australia (pp. 1840-1845).
8. Brockett R.W. Finite dimensional linear systems. 1969;Addison Wesley, Reading, MA.
9. Cassandras C.G., Pepyne D.L., Wardi Y. Optimal control of a class of hybrid systems. IEEE Transactions on Automatic Control. 46(3):2001;398-415.
10. Fujioka, H. (2001). Computing integrals involving matrix exponentials by solving Lyapunov equations. SICE first annual conference on control systems, Kyoto, Japan (pp. 253-256).
11. Gokbayrak, K., & Cassandras, C. G. (2000). A hierarchical decomposition method for optimal control of hybrid systems. Proceedings of the 39th IEEE conference on decision and control, Sydney, Australia (pp. 1816-1821).
12. Imura, J. (2003a). Optimal continuous-time control of sampled-data piecewise affine systems. Proceedings of 2003 American control conference, Denver, USA (pp. 5317-5322).
13. Imura J. Well-posedness analysis of switch-driven hybrid systems. IEEE Transactions on Automatic Control. 48(11):2003;1926-1935.
14. Imura J., van der Schaft A.J. Characterization of well-posedness of piecewise linear systems. IEEE Transactions on Automatic Control. 45(9):2000;1600-1619.
15. Izaias, S. B., & Krogh, B. H. (2001). Modeling and verification of hybrid systems with clocked and unclocked events. Proceedings of 40th IEEE conference on decision and control, Orlando, USA (pp. 762-767).
16. Johansen T.A., Petersen I., Slupphaug O. Explicit suboptimal linear quadratic regulation with state and input constraints. Automatica. 38(7):2002;1099-1111.
17. Kojima, A., & Morari, M. (2001). LQ control for constrained continuous-time systems: An approach based on singular value decomposition. Proceedings of 40th IEEE conference on decision and control, Orlando, USA (pp. 4838-4844).
18. Rantzer A., Johansson M. Piecewise linear quadratic optimal control. IEEE Transactions on Automatic Control. 45(4):2000;629-637.
19. Riedinger, P., Kratz, F., Iung, C., & Zanne, C. (1999). Linear quadratic optimization for hybrid systems. Proceedings of the 38th IEEE conference on decision and control, Phoenix, USA (pp. 3059-3064).
20. Sussmann, H. J. (1999). A maximum principle for hybrid optimal control problems. Proceedings of the 38th IEEE conference on decision and control, Phoenix, USA (pp. 425-430).
21. Xu, X., & Antsaklis, P. J. (2000). A dynamic programming approach for optimal control of switched systems. Proceedings of the 39th IEEE conference on decision and control, Sydney, Australia (pp. 1822-1827).