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: | , , , |
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| Format: | Journal Article |
| Published: |
Society for Industrial and Applied Mathematics
2018
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| Online Access: | http://purl.org/au-research/grants/arc/DP140100289 http://hdl.handle.net/20.500.11937/72334 |
| Summary: | 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. |
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