Velocity profile optimization of on road vehicles: Pontryagin's Maximum Principle based approach
| Autor: | Engin Ozatay, Dimitar Petrov Filev, Umit Ozguner |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
050210 logistics & transportation
0209 industrial biotechnology Mathematical optimization Differential equation Applied Mathematics Computation Speed limit 05 social sciences Constrained optimization 02 engineering and technology Optimal control Computer Science Applications Dynamic programming 020901 industrial engineering & automation Maximum principle Control and Systems Engineering Control theory 0502 economics and business Calculus of variations Electrical and Electronic Engineering Mathematics |
| Zdroj: | Control Engineering Practice. 61:244-254 |
| ISSN: | 0967-0661 |
| DOI: | 10.1016/j.conengprac.2016.09.006 |
| Popis: | Driving profile of on road vehicles has shown to have significant effect on fuel economy. This paper discusses the development of Pontryagin's Maximum Principle (PMP) based solution to determine the energy optimal velocity profile by incorporating the gear shifting, speed limit and road grade constraints simultaneously. In the proposed approach the real world road grade profile and speed limits are approximated by a set of piece-wise constant functions and the corresponding first order necessary conditions are derived. By solving a number of differential equations an analytical solution is generated. Therefore, the computation time of the solution is extremely fast. To verify the global optimality of the solution, the results are compared with dynamic programming (DP) solution that solves the complex and non-linear representative model of the actual test vehicle. The comparison results prove that the generated optimal speed trajectories are very close to global optimal solution. |
| Databáze: | OpenAIRE |
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