Abstract
A solution to the control of switching linear systems with input constraints was given in Benmerzouga (1997) for both the conventional enumeration approach and the new approach. The solution given there turned out to be not unique. The main objective in this work is to determine the optimal control sequences {Ui(k) , i = 1,..., M ; k = 0, 1, ..., N -1} which transfer the system from a given initial state X0 to a specific target state XT (or to be as close as possible) by using the same discrete time solution obtained in Benmerzouga (1997) and minimizing a running cost-to-go function. By using the dynamic programming technique, the optimal solution is found for both approaches given in Benmerzouga (1997). The computational complexity of the modified algorithm is also given.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol9iss0pp41-51
- Journal
- Sultan Qaboos University Journal for Science, 9, 41
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Benmerzouga, A. (2004). Optimal Control of Switching Linear Systems. Sultan Qaboos University Journal for Science, 9, 41. https://doi.org/10.24200/squjs.vol9iss0pp41-51
MLA 9
Benmerzouga, Ali. "Optimal Control of Switching Linear Systems." Sultan Qaboos University Journal for Science, vol. 9, 2004, pp. 41. https://doi.org/10.24200/squjs.vol9iss0pp41-51.
Chicago (author–date)
Benmerzouga, Ali. 2004. "Optimal Control of Switching Linear Systems." Sultan Qaboos University Journal for Science 9: 41. https://doi.org/10.24200/squjs.vol9iss0pp41-51.
Harvard
Benmerzouga, A. (2004) 'Optimal Control of Switching Linear Systems', Sultan Qaboos University Journal for Science, 9, pp. 41. doi:10.24200/squjs.vol9iss0pp41-51.
Vancouver
Benmerzouga A. Optimal Control of Switching Linear Systems. Sultan Qaboos University Journal for Science. 2004;9:41. doi:10.24200/squjs.vol9iss0pp41-51
IEEE
A. Benmerzouga, "Optimal Control of Switching Linear Systems," Sultan Qaboos University Journal for Science, vol. 9, pp. 41, 2004, doi: 10.24200/squjs.vol9iss0pp41-51.