Advanced

Optimal Control of Hybrid Systems

Rantzer, Anders LU and Hedlund, Sven LU (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:
author
organization
publishing date
type
Contribution to conference
publication status
published
subject
conference name
38th IEEE Conference on Decision and Control
language
English
LU publication?
yes
id
7b5a393f-671a-4ab3-a5fc-b954cb0b2028 (old id 8516779)
date added to LUP
2016-01-19 14:53:00
date last changed
2016-04-16 11:34:02
@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},
  year         = {1999},
}