On the discontinuity of the costates for optimal control problems with Coulomb friction
Conference
·
OSTI ID:756407
- Sandia National Laboratories
This work points out that the costates are actually discontinuous functions of time for optimal control problems with Coloumb friction. In particular these discontinuities occur at the time points where the velocity of the system changes sign. To the authors knowledge, this has not been noted before. This phenomenon is demonstrated on a minimum-time problem with Coloumb friction and the consistency of discontinuous costates and switching functions with respect to the input switches is shown.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (US); Sandia National Labs., Livermore, CA (US)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 756407
- Report Number(s):
- SAND2000-1358C
- Country of Publication:
- United States
- Language:
- English
Similar Records
Minimum-time control of systems with Coloumb friction: Near global optima via mixed integer linear programming
An efficient cost reduction procedure for bounded-control LQR problems
Optimal control of systems with discontinuous differential equations.
Conference
·
Tue Apr 25 00:00:00 EDT 2000
·
OSTI ID:756087
An efficient cost reduction procedure for bounded-control LQR problems
Journal Article
·
Tue May 15 00:00:00 EDT 2018
· Computational and Applied Mathematics
·
OSTI ID:22769353
Optimal control of systems with discontinuous differential equations.
Journal Article
·
Sun Jan 31 23:00:00 EST 2010
· Numer. Math.
·
OSTI ID:972578