Multi-objective dynamic optimization of path-constrained switched systems
A multi-objective dynamic optimization algorithm is proposed for path-constrained switched systems to locate approximated local Pareto solutions with specified tolerances. The algorithm is based on iteratively solving single-objective modified ϵ-constraint dynamic optimization problems to avoid gene...
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| Vydáno v: | Automatica (Oxford) Ročník 159; s. 111326 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier Ltd
01.01.2024
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| Témata: | |
| ISSN: | 0005-1098, 1873-2836 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | A multi-objective dynamic optimization algorithm is proposed for path-constrained switched systems to locate approximated local Pareto solutions with specified tolerances. The algorithm is based on iteratively solving single-objective modified ϵ-constraint dynamic optimization problems to avoid generating weak Pareto solutions. These problems are first reduced to semi-infinite programs embedded with ordinary differential equations by performing the control vector parameterization technique. Then the guaranteed feasibility is attained within a finite number of iterations by enforcing the path constraints at discretized time points with a restriction parameter on the right-hand side. Furthermore, the approximation error of the obtained local Pareto solutions is quantitatively analyzed. The result shows that the Pareto approximation error can be directly controlled via user-specified parameters. Finally, the effectiveness of the algorithm is illustrated via a numerical example. |
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| ISSN: | 0005-1098 1873-2836 |
| DOI: | 10.1016/j.automatica.2023.111326 |