Optimal Control of Hybrid Systems
(1999) 38th IEEE Conference on Decision and Control- Abstract
- This paper presents a method for optimal control of hybrid systems. An inequality of Bellman type is considered and every solution to this inequality gives a lower bound on the optimal value function. A discretization of this ``hybrid Bellman inequality'' leads to a convex optimization problem in terms of finite-dimensional linear programming. From the solution of the discretized problem, a value function that preserves the lower bound property can be constructed. An approximation of the optimal feedback control law is given and tried on some examples.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8516779
- author
- Rantzer, Anders LU and Hedlund, Sven LU
- organization
- publishing date
- 1999
- type
- Contribution to conference
- publication status
- published
- subject
- conference name
- 38th IEEE Conference on Decision and Control
- conference dates
- 1999-12-07
- language
- English
- LU publication?
- yes
- id
- 7b5a393f-671a-4ab3-a5fc-b954cb0b2028 (old id 8516779)
- date added to LUP
- 2016-04-04 13:42:16
- date last changed
- 2018-11-21 21:15:43
@misc{7b5a393f-671a-4ab3-a5fc-b954cb0b2028, abstract = {{This paper presents a method for optimal control of hybrid systems. An inequality of Bellman type is considered and every solution to this inequality gives a lower bound on the optimal value function. A discretization of this ``hybrid Bellman inequality'' leads to a convex optimization problem in terms of finite-dimensional linear programming. From the solution of the discretized problem, a value function that preserves the lower bound property can be constructed. An approximation of the optimal feedback control law is given and tried on some examples.}}, author = {{Rantzer, Anders and Hedlund, Sven}}, language = {{eng}}, title = {{Optimal Control of Hybrid Systems}}, url = {{https://lup.lub.lu.se/search/files/6184967/8523739.pdf}}, year = {{1999}}, }