Bibliographic Details
| Title: |
CONTINUITY OF CONTROL LAWS BASED ON MULTIPARAMETRIC LINEAR PROGRAMS. |
| Authors: |
Olaru, Sorin1 sorin.olaru@supelec.fr, Dumur, Didier1, Dumitrache, Ioan2 |
| Source: |
International Journal of Tomography & Statistics. Winter2007, Vol. 5 Issue W07, p50-55. 6p. |
| Subject Terms: |
Polyhedra, Linear programming, Mathematical optimization, Multiparadigm programming (Computer science), Solid geometry |
| Abstract: |
The present paper uses a geometrical approach to deal with multiparametric linear programs (mp-LP). It is shown how the double description of the feasible domains (in terms of both constraints and generators) can offer access to the entire family of optimal mappings from the parameters space to the arguments space. This can be further used to retain explicit solutions with guarantee of continuity and optimality for mp-LP. The results are motivated by the need for explicit control law formulation in the constrained predictive control framework. [ABSTRACT FROM AUTHOR] |
| Database: |
Supplemental Index |