Title | ||
---|---|---|
Time-optimal control of large-scale systems of systems using compositional optimization. |
Abstract | ||
---|---|---|
Optimization of industrial processes such as manufacturing cells can
have great impact on their performance. Finding optimal solutions to these
large-scale systems is, however, a complex problem. They typically include multiple
subsystems, and the search space generally grows exponentially with each subsystem.
In previous work we proposed Compositional
Optimization as a method to solve these type of problems. This
integrates optimization with techniques from compositional supervisory control,
dividing the optimization into separate sub-problems. The main purpose is to
mitigate the state explosion problem, but a bonus
is that the individual sub-problems can be solved using parallel computation, making
the method even more scalable. This paper further improves on compositional
optimization with a novel synchronization method, called partial time-weighted synchronization (PTWS), that is specifically
designed for time-optimal control of asynchronous systems. The benefit is its
ability to combine the behaviour of asynchronous subsystems without introducing
additional states or transitions. The method also reduces the search space further
by integrating an optimization heuristic that removes many non-optimal or redundant
solutions already during synchronization. Results in this paper show that
compositional optimization efficiently generates global optimal solutions to
large-scale realistic optimization problems, too big to solve when based on
traditional monolithic models. It is also shown that the introduction of PTWS
drastically decreases the total search space of the optimization compared to
previous work. |
Year | DOI | Venue |
---|---|---|
2019 | 10.1007/s10626-019-00290-0 | Discrete Event Dynamic Systems |
Keywords | Field | DocType |
Large-scale optimization, Discrete event systems, State explosion problem, Time-optimal control, Compositional optimization | Asynchronous communication,Mathematical optimization,Synchronization,Heuristic,Optimal control,Supervisory control,System of systems,Optimization problem,Mathematics,Scalability | Journal |
Volume | Issue | ISSN |
29 | 3 | 0924-6703 |
Citations | PageRank | References |
1 | 0.37 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Fredrik Hagebring | 1 | 1 | 0.71 |
Bengt Lennartson | 2 | 934 | 118.87 |