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Optimal Control of Hybrid Systems

Rantzer, Anders LU orcid 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.
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Contribution to conference
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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}},
}