A Preliminary Report on the Utilization of PSO for Solving the Hamiltonian Systems
When one uses the Pontryagin’s Maximum Principle for solving fixed-time and fixedendpoint optimal control problems, one will face a Hamiltonian system. The Hamiltonian system consists of a pair of differential equations. The first equation is equipped with initial and final condition, but the second...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | http://eprints.utem.edu.my/id/eprint/12983/1/370-374.pdf http://eprints.utem.edu.my/id/eprint/12983/ http://www.ajbasweb.com/old/ajbas/2014/Special%202/370-374.pdf |
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| Summary: | When one uses the Pontryagin’s Maximum Principle for solving fixed-time and fixedendpoint optimal control problems, one will face a Hamiltonian system. The Hamiltonian system consists of a pair of differential equations. The first equation is equipped with initial and final condition, but the second one lacks any boundary conditions. Thus, in most cases, one cannot solve this problem directly. This is a classic difficulty for using the maximum principle. We will proposed a new method for
overcoming this difficulty here. This method utilizes an algorithm called Particle Swarm Optimization or PSO. At the end this paper will present some numerical results |
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