Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions
This paper considers a dynamic optimization problem for a class of switched systems characterized by two key attributes: (i) the switching mechanism is invoked automatically when the state variables satisfy certain switching conditions; and (ii) the subsystem dynamics involve time-delays in the s...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
Society for Industrial and Applied Mathematics
2018
|
| Online Access: | http://purl.org/au-research/grants/arc/DP140100289 http://hdl.handle.net/20.500.11937/72334 |
| _version_ | 1848762722961850368 |
|---|---|
| author | Liu, Chongyang Loxton, Ryan Lin, Qun Teo, Kok Lay |
| author_facet | Liu, Chongyang Loxton, Ryan Lin, Qun Teo, Kok Lay |
| author_sort | Liu, Chongyang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper considers a dynamic optimization problem for a class of switched systems
characterized by two key attributes: (i) the switching mechanism is invoked automatically when
the state variables satisfy certain switching conditions; and (ii) the subsystem dynamics involve
time-delays in the state variables. The decision variables in the problem, which must be selected
optimally to minimize system cost, consist of a set of time-invariant system parameters in the initial
state functions. To solve the dynamic optimization problem, we first show that the partial derivatives
of the system state with respect to the system parameters can be expressed in terms of the solution of
a set of variational switched systems. Then, on the basis of this result, we develop a gradient-based
optimization algorithm to determine the optimal parameter values. Finally, we validate the proposed
algorithm by solving an example problem arising in the production of 1,3-propanediol. |
| first_indexed | 2025-11-14T10:52:05Z |
| format | Journal Article |
| id | curtin-20.500.11937-72334 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:52:05Z |
| publishDate | 2018 |
| publisher | Society for Industrial and Applied Mathematics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-723342022-10-12T02:47:48Z Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions Liu, Chongyang Loxton, Ryan Lin, Qun Teo, Kok Lay This paper considers a dynamic optimization problem for a class of switched systems characterized by two key attributes: (i) the switching mechanism is invoked automatically when the state variables satisfy certain switching conditions; and (ii) the subsystem dynamics involve time-delays in the state variables. The decision variables in the problem, which must be selected optimally to minimize system cost, consist of a set of time-invariant system parameters in the initial state functions. To solve the dynamic optimization problem, we first show that the partial derivatives of the system state with respect to the system parameters can be expressed in terms of the solution of a set of variational switched systems. Then, on the basis of this result, we develop a gradient-based optimization algorithm to determine the optimal parameter values. Finally, we validate the proposed algorithm by solving an example problem arising in the production of 1,3-propanediol. 2018 Journal Article http://hdl.handle.net/20.500.11937/72334 10.1137/16M1070530 http://purl.org/au-research/grants/arc/DP140100289 Society for Industrial and Applied Mathematics fulltext |
| spellingShingle | Liu, Chongyang Loxton, Ryan Lin, Qun Teo, Kok Lay Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions |
| title | Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions |
| title_full | Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions |
| title_fullStr | Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions |
| title_full_unstemmed | Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions |
| title_short | Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions |
| title_sort | dynamic optimization for switched time-delay systems with state-dependent switching conditions |
| url | http://purl.org/au-research/grants/arc/DP140100289 http://hdl.handle.net/20.500.11937/72334 |